Statistical Information Processing Research Articles

Contemporary issues in upholding women's rights and gender Equality

On a daily basis, individuals are confronted with a multitude of challenging circumstances, including unfair treatment, interpersonal conflicts, and acts of aggression. The issue of gender equality is particularly pertinent in the present era, as it is evident that all individuals should be afforded equal rights, the right to self-realisation and self-affirmation, and the right to protection. The objective of this study is to provide a comprehensive account of the issues and achievements pertaining to gender equality and the fulfilment of women's rights. The study employed a range of methodological approaches, including theoretical analysis, synthesis, and generalisation; empirical sociological survey and description; and generalisation. The theoretical framework is as follows: The study concentrates on the pivotal issues of the gender system, its evolution, and the realisation of women's rights in diverse global contexts, including Europe. The authors conducted an in-depth analysis of the core issues and accomplishments in this domain. The sociological survey thus revealed the attitudes of Ukrainians towards the phenomenon of gender equality and women's rights, their understanding of the characteristics of the concept, and the legislative basis for its development. The findings of the research demonstrate the necessity for the establishment of a unified global system of gender influence. This will ensure the efficacy of achieving equality between the sexes and facilitate daily life for other marginalised groups in a more expedient manner. The article illustrates that the mere adoption of a legislative framework and inclusion in various international programmes are insufficient for the effective addressing of the issue of gender equality. It is imperative that the general public is made aware of the significance of gender transformation. It is essential to motivate and prepare the population for these changes. Furthermore, the collection and processing of statistical information on gender issues must be more efficient.

Statistical Methods for Processing Data on the Impact of Wind Farms on Birds

This article is devoted to the processing and analysis of observational results that make it possible to predict the impact of wind power on the environmental situation; in the course of the work, an algorithm for statistical processing of the results of monitoring the dynamics of ornithocomplexes on the territory of wind power plants (WPPs) is proposed. During the study, it was found that the parameters for the statistical analysis of ornithocomplexes on the territory of the wind farm are: the number of birds, the number of species, the time spent at the recording site and the activity coefficients of individuals of different species at different altitudes. The solution to the most frequently encountered problems in the analysis of bird migration in the wind farm zone is considered: 1) An algorithm has been developed for the primary statistical processing of information obtained by the route counting method and observations in accordance with the recommendations of the Scottish Natural Heritage Foundation. 2) The features of the application of correlation and regression analysis using the Student, Pearson and Fisher criteria are considered. 3) An algorithm for statistical analysis based on the trend approach is proposed. The considered statistical methods were tested on the results of migratory bird census on the territory of the Prymorsk-1 wind farm located on the coast of the Sea of Azov.

Factors Affecting the Classification of Domestic Solid Waste in Cho Moi District - Bac Kan Province

This article studies factors affecting household waste classification in Cho Moi district, Bac Kan province. The author uses information collection methods, field surveys and statistical information processing methods. The results obtained: the volume of domestic solid waste generated in the whole district is about 38 tons/day. The study area includes 3 communes, of which Nong Ha commune has the highest volume of solid waste generated at 3.9 tons/day. The entire district has 1 garbage collection vehicle, so the collection truck comes to each commune twice a week. If the vehicle has a problem, there will be no other vehicle to collect it. The fee for household waste treatment is 4,000 VND/person/month. If they throw away trash, that household will pay. Women often sort trash more simply by keeping the items so they can sell the junk and add some money to the family. People under the age of 30 tend to know and care about waste classification more than other ages. The proportion of people who have never heard of waste regulations accounts for 60.48%, while those who clearly understand the regulations are 60.48%. determined to only account for 3.81%. When it was announced that they would be fined if they did not classify their trash, the people here were extremely calm because they believed that no one would know whose trash bag belonged to the pile and who would be fined.

The study of newly-qualified teachers’ psychological well-being and personal reflection

Introduction. The article examines the peculiarities of psychological well-being and satisfaction with the profession of novice teachers in connection with personal reflection. The purpose of the study is to reveal the specifics of psychological well-being and personal reflection of teachers at the initial stage of professional development. Materials and Methods. The study follows a systematic approach and the concept of psychological well-being (K Riff). In order to achieve the purpose of the research, the authors used theoretical (analysis, comparison, generalization, systematization) and empirical (tests) methods, as well as methods of statistical information processing. To collect relevant data, the methods were presented by means of a Google form via an online resource. The research sample consisted of 162 newly-qualified teachers from Omsk and the Omsk region whose work experience ranged between 6 months and 5 years. Results. The authors of the article obtained the following results: - analyzed and summarized Russian and international research investigations on issues of psychological well-being, the level of development of reflection and novice teachers satisfaction with their profession; - the empirical results of the study are presented, which reflect the priority indicators of psychological well-being, the level and types of personal reflection, the level of satisfaction with the professional development of newly-qualified teachers; the specifics of psychological well-being and personal reflection of teachers are revealed, the types of teachers at the initial stage of professional development are described. Conclusions. The specifics of psychological well-being and personal reflection of novice teachers are determined by difficulties in managing the environment, building interaction with colleagues and self-acceptance, readiness for personal growth and autonomy, and there is also insufficient development of reflection skills, in particular, reflection on communication and real activity, which affects satisfaction with professional activities. The types of novice teachers have been identified depending on the specifics of psychological well-being, the level of development and type of personal reflection, and satisfaction with profession.

Cardiovascular risk factors in diabetic patients

Introduction: the term Diabetes Mellitus describes a syndrome in which there is a metabolic disorder characterized by chronic hyperglycemia with alterations in the metabolism of carbohydrates, fats and proteins as a result of defects in the secretion or action of insulin or both. Objective: to determine cardiovascular risk factors in diabetic patients belonging to the Family Medical Clinic # 130 of the Hermanos Cruz Teaching Polyclinic in Pinar del Río, during the period from September 2021 to September 2023. Methods: an observational, descriptive and transversal research was carried out. The universe was constituted by 64 patients. For this purpose, the following fundamental research methods and techniques were used: documentary analysis, observation, interview, measurement and hypothetical-deductive; computer tools were also used for the statistical processing of information, such as SPSS. Results: patients between 70-79 years of age predominated with 28% of the patients. According to the time of evolution of the disease, patients who had suffered from it for more than 10 years prevailed. The most representative cardiovascular risk factors were: arterial hypertension, smoking and sedentary lifestyle. Conclusions: it was determined that arterial hypertension, smoking and sedentary lifestyle are the risk factors with the highest incidence and prevalence in the overall cardiovascular risk in diabetic patients

Robust finite-temperature many-body scarring on a quantum computer

Mechanisms for suppressing thermalization in disorder-free many-body systems, such as Hilbert space fragmentation and quantum many-body scars, have recently attracted much interest in foundations of quantum statistical physics and potential quantum information processing applications. However, their sensitivity to realistic effects such as finite temperature remains largely unexplored. Here, we have utilized IBM's Kolkata quantum processor to demonstrate an unexpected robustness of quantum many-body scars at finite temperatures when the system is prepared in a thermal Gibbs ensemble. We identify such robustness in the PXP model, which describes quantum many-body scars in experimental systems of Rydberg atom arrays and ultracold atoms in tilted Bose-Hubbard optical lattices. By contrast, other theoretical models which host exact quantum many-body scars are found to lack such robustness and their scarring properties quickly decay with temperature. Our study sheds light on the important differences between scarred models in terms of their algebraic structures, which impacts their resilience to finite temperature. Published by the American Physical Society 2024

GLOBAL DEMOGRAPHIC CHALLENGES: EXPERIENCE FOR KAZAKHSTAN

The demographic situation both in the world and in Kazakhstan is a significant problem that requires in-depth and comprehensive study. This study aims to examine changes in population size, fertility and mortality rates, as well as migration processes in various countries, including Japan, with an emphasis on their impact on global demographic trends. The main objective of the study is to identify the key trends and factors shaping demographic processes, and to assess the possibility of applying their experience in the conditions of Kazakhstan. To achieve this goal, various methods of processing statistical information are used, such as statistical analysis, the study of sources and literature, as well as the analysis of migration changes. The results of the study will help in the development of strategic documents that contribute to the effective solution of demographic problems, which is an important aspect for ensuring sustainable socio-economic growth.

Development of the online course "Statistical Analysis and Information Processing for Scientific Research Works"

The article deals with the main issues of creating an online course «Statistical Analysis and Information Processing for Research and Development». It presents the problem that, according to the authors, can be solved by implementing this online course «Statistical Analysis and Information Processing for Research and Development». The aim is to create an online training course «Statistical analysis and processing of information for research work» for young researchers who face a global problem in the need for statistical analysis and processing of available information. The main objectives of the research have been formulated, which have received their disclosure, and the goal has been achieved. As part of the work to create an online course detailed analysis of scientific and pedagogical literature, studied the experience of more than seventy researchers, the work of which in one way or another could help in achieving the goal.

Этнокультурный туризм в системе рекреационного природопользования Северо-Восточного Кавказа

The aim of the work is to study the problems and prospects of ethno-cultural tourism development in the North-Eastern Caucasus and to assess its role in recreational nature management. Research methods: geographical, comparative-historical, demographic and ethno-cultural analysis of the territory, method of statistical processing of information and geo-system approach. Research results. The structure of ethno-cultural tourism potential including objects of natural and historical-cultural heritage, pilgrimages and unique intangible cultural heritage (art, culture, traditions and customs) was substantiated. The geographical pattern of distribution of historical and cultural heritage objects has been studied, which consists in the following: in the plain part these objects are represented mainly by houses of famous scientists, architects, artists and poets, obelisks, etc., and in the mountain zone–by tower complexes, above-ground crypts, bas-reliefs and other structures. The main types of traditional folk crafts and handicrafts (carpet weaving, felt making, jewelry, gun smithing, metal carving on wood, etc.) preserved up to nowadays as the most important resource of ethno-cultural tourism are shown. The significant share of creative potential has been identified in the mountainous part of the North-Eastern Caucasus. Conclusion. The results of the study show that the potential of ethno-cultural tourism in the North-Eastern Caucasus is not fully utilized. And this is reflected in its weak role in the system of recreational nature management. It is proved that for more effective utilization of this potential it is necessary to develop science-based approaches. The complex of problems that hinder the development of ethno-cultural tourism in the region of study is identified (shortage of highly qualified personnel, low level of service, poorly developed infrastructure, especially in mountainous areas, weak promotion of tourism products, etc.). It is shown that their decision will allow to bring this type of tourism to a higher level of economic development. It is recommended to emphasize the combination of traditional and innovative approaches in the system of recreational nature management, including ethno-cultural branding of recreation objects. The results of the study can be applied in the development of regional strategies for tourism development in the North-Eastern Caucasus, in the formation of regional and interregional tourism and recreation clusters.

TRENDS IN ECO-TOURISM DEVELOPMENT IN UKRAINE UNDER CONDITIONS OF THE RUSSIAN-UKRAINIAN WAR

Objective. The article aims at analyzing the current trends in the development of ecological tourism in Ukraine under conditions of the russian-Ukrainian war. Methods. The results of the study are obtained applying the following methods: theoretical generalisation and system-structural method (to study the theoretical foundations of ecotourism), analysis (to analyse the main trends in the development of ecotourism in Ukraine), statistical method (to process statistical information), classification method (to divide the regions by ecotourism potential), abstract-theoretical method (to formulate theoretical conclusions). Results. The current trends in the development of ecological tourism in Ukraine are analysed according to two main directions: ecological tourism within and outside protected areas. The main organisational forms of ecological tourism are identified, including ecological tourist routes and trails, cultural and educational ecological excursions, recreation in eco-hotels of various types, active mountain and water eco-recreation. The author analyses the security features of ecotourism under the conditions of the russian-Ukrainian war, the activities of the international certification programmes "GreenKey" and "BlueFlag", and the most popular ecotourism sites in Ukraine. As a result of the analysis, it is proposed to conditionally divide the regions of Ukraine, according to the existing ecotourism potential, into 4 categories: regions with high ecotourism development potential, regions with medium ecotourism development potential, regions with low ecotourism development potential and regions where ecotourism is impossible to organise.

Multi-criteria optimization calculations to improve the efficiency of an agricultural moving power units in fleet

BACKGROUND: Due to the fact that the development of one target function for separately assessing each agricultural machine used in the fleet seems insufficient to fully assess the efficiency of agricultural moving power units in fleet, a multi-criteria formulation of the problem was applied using the previously developed hardware and software complex MOVI 1.4 and the development of computer programs to carry out their optimization calculations of the efficiency of the agricultural moving power units in fleet the example of a specific farm. AIMS: The goal of the work is to develop software tools for carrying out multi-criteria optimization calculations in order to increase the efficiency of agricultural moving power units in fleet in the context of digitalization of agriculture. METHODS: The analysis is based on the collection of scientific publications, scientific articles and other sources of information on the development of research and experimental design work on the creation of intelligent transport and technical means and the improvement of methodological and software for multi-criteria optimization calculations of the efficiency of the agricultural moving power units in fleet. Methods of scientific generalization and statistical processing of available information and analytical materials from domestic and foreign sources were also used. RESULTS: To calculate the values of quality criteria for the MES fleet, an interface subprogram for MOVI 1.4 was developed in the Pascal programming language, adequate for implementing calculations based on mathematical models of criteria at trial points. After introducing functional and criterion restrictions, an admissible set and a set of Pareto-optimal solutions were constructed, and correlation graphs between quality criteria were constructed. The scientific novelty lies in the development of computer programs for multi-criteria justification of the efficiency of the agricultural moving power units in fleet. CONCLUSION: The practical value lies in the fact that the developed mathematical and software tools can be successfully used for multi-criteria optimization of the efficiency of an agricultural moving power units in fleet using the example of specific agricultural organizations, regions or the country as a whole.

NON-FORMAL EDUCATION IN THE CONTEXT OF MODERN TRENDS

In the modern world, specialists’ success depends on their ability to adapt to rapidly changing conditions in their lives and professional activities. Non-formal education is one of the ways to adjust educational trajectories to ensure continuous and flexible development tailored to learners’ individual needs and interests. This paper describes the findings of a study on the non-formal education model in higher education institutions. The study aims to develop a non-formal education model considering a three-element interaction: student, university, and external environment. Analytical and statistical information processing methods were used to review references and determine the needs of internal and external non-formal education consumers. The study’s findings justify the integration of non-formal education concepts into a traditional education system, that is, ensuring free academic activity, expanding learning options and trajectories, personal development, and forming a constantly growing need for acquiring knowledge and new competencies. Another result of the study is the identification of the key elements of non-formal education and the possibilities for its integration into the higher education system. The map of requests of each educational process participant has been made and some ways of non-formal education implementation have been shown in the example of NPJSC D. Serikbayev East Kazakhstan Technical University experience. The scientific and practical significance of the paper lies in a comprehensive overview of non-formal education scientific and educational potential, and a presentation of mechanisms for creating an educational environment to facilitate learners’ self-organization and self-development

Mathematical model of single-channel search for signals of mobile radio communications with one degree of detection in the frequency-time domain.

In the context of a full-scale invasion and military operations for Ukraine's independence, the issues of radio monitoring of radio emission sources of telecommunication networks and systems are gaining special attention and require fundamentally new approaches to the level of informatization, technical implementation and increase of their efficiency. Today, the technical means of radio interception, monitoring and direction finding in the networks of mobile radio communication systems are realized in the form of software and hardware complexes, the most important performance indicators of which are considered to be speed, accuracy of detection and probability of recognition of mobile radio communication means with their information content. At the same time, these issues still remain problematic and require further development of methods and techniques for searching and detecting signals of mobile radio communications in both frequency and time telecommunication channels and their information processing. To solve this issue, the authors propose a mathematical model for searching for mobile radio signals in the frequency-time domain with one degree of detection. The description of the mathematical model for determining the spectral components of signals in the frequency and time domains is carried out using the basic provisions of the theory of directed probability graphs, geometric probabilities with its well-known problem of meeting in a given time interval, and the theoretical foundations of statistical information processing. The analysis of the proposed model shows that the probability of successful completion of the search for a signal with one degree of detection in the frequency-time domain for a given time depends on the value of the signal duration, the number of analyzed frequency channels, the time of signal analysis in each channel, and the probabilities of errors of the first and second kinds The article presents the results of calculations of the value of the probability of successful completion of the signal search as a function of the search time at different values of the analysis time. It is shown that the application of the mathematical model of single-channel search for signals of mobile radio communication means with one degree of detection in the frequency-time domain in practice will make it possible to determine the quality of the radio monitoring process and increase the efficiency of evaluating the spectral components of radio signals in terms of speed, detection accuracy and probability of recognition of mobile radio communication means with further determination of their information content.

A software model to generate permutation keys through a square matrix

Information security and data protection are among the key aspects, which should be intensively developing in the 21st century. A conventional approach to cryptographic algorithms offers to apply matrices to represent information. However, more recent approaches deploy other data structures, including permutations, thus necessitating accordance between differing data structures to integrate different methods into a wholistic system of processing and transmitting information. This study aims to generate permutations, which serve as a key for factorial data coding according to a known key matrix. The paper presents two algorithms for transforming a square matrix into a permutation. An example of matrix transformation following each of the proposed algorithms is given. A software model was created and described to investigate the transformation of square matrices into permutations with the Matlab software product. The authors have considered the built-in methods of statistical information processing in the Matlab program and their graphical representation by built-in functions, which are applied in the process of the software model. A matrix transformation has been performed according to the proposed algorithms. The paper investigates all possible combinations of a square matrix of order 2 with elements referring to the finite integer field modulo p = 17 and p = 23. According to each transforming algorithm, the results of a square matrix transforming into a permutation number are obtained in the lexicographic order. The statistical properties of the obtained results have been studied, and the most efficient algorithm for transforming matrices into permutations has been determined based on the distribution uniformity criterion for the generated permutation numbers. The study demonstrates that this algorithm can potentially be deployed in information exchange systems based on factorial data coding

Main trends and assessment of global technological development: A comparative analysis of national economies

Relevance. Research on global technological development's impact on national economies is essential to understand the intricate forces shaping the modern economy, driven by Industry 4.0 technologies and global disparities. Purpose. The purpose of the article is a comparative study of national economies, taking into account the main trends of global technological development. Methodology. Achieving this result required the use of methods: classification of countries by the level of their technological development, automated processing of statistical information, as well as its generalization. Results. The main result of the study is the conclusion that at present there is a differentiation of the advanced countries of the world in the management of technological development, while the work carried out made it possible to conclude that the importance of the Asian region in the global technological development will increase in the near future. The distribution of 26 countries of the world into three clusters was carried out, which describe the level of their technological development. Conclusions. The conducted research shows the presence of inequality in this component of development, even in those countries that are today the leaders of the world economy. In practical terms, this study made it possible to assert that in the world economy there is a "global shift" in the system of the world division of labor towards Asian countries, in connection with which it is important to cooperate with these countries in the field of scientific and technological development. Keywords: technological development; rating; national economy; cluster; division of labor

Functional Connectivity Changes on Resting-State fMRI after Mild Traumatic Brain Injury: A Systematic Review.

Mild traumatic brain injury is theorized to cause widespread functional changes to the brain. Resting-state fMRI may be able to measure functional connectivity changes after traumatic brain injury, but resting-state fMRI studies are heterogeneous, using numerous techniques to study ROIs across various resting-state networks. We systematically reviewed the literature to ascertain whether adult patients who have experienced mild traumatic brain injury show consistent functional connectivity changes on resting-state -fMRI, compared with healthy patients. We used 5 databases (PubMed, EMBASE, Cochrane Central, Scopus, Web of Science). Five databases (PubMed, EMBASE, Cochrane Central, Scopus, and Web of Science) were searched for research published since 2010. Search strategies used keywords of "functional MR imaging" and "mild traumatic brain injury" as well as related terms. All results were screened at the abstract and title levels by 4 reviewers according to predefined inclusion and exclusion criteria. For full-text inclusion, each study was evaluated independently by 2 reviewers, with discordant screening settled by consensus. Data regarding article characteristics, cohort demographics, fMRI scan parameters, data analysis processing software, atlas used, data characteristics, and statistical analysis information were extracted. Across 66 studies, 80 areas were analyzed 239 times for at least 1 time point, most commonly using independent component analysis. The most analyzed areas and networks were the whole brain, the default mode network, and the salience network. Reported functional connectivity changes varied, though there may be a slight trend toward decreased whole-brain functional connectivity within 1 month of traumatic brain injury and there may be differences based on the time since injury. Studies of military, sports-related traumatic brain injury, and pediatric patients were excluded. Due to the high number of relevant studies and data heterogeneity, we could not be as granular in the analysis as we would have liked. Reported functional connectivity changes varied, even within the same region and network, at least partially reflecting differences in technical parameters, preprocessing software, and analysis methods as well as probable differences in individual injury. There is a need for novel rs-fMRI techniques that better capture subject-specific functional connectivity changes.

Women's Rights and Gender Equality: Analysis of Issues and Achievements

Purpose: Every day, people are constantly facing unfair situations, conflicts, aggression, etc. For this reason, the desire for a humane solution to acute problems, i.e., peace and an ethical attitude towards others, should become a mutual goal for the entire world population. The issue of gender equality becomes especially relevant today, as it is clear that everyone should have equal rights, the right to self-realization and self-affirmation, and the right to protection. The study aims to describe the issues and achievements on the way to gender equality and fulfillment of women's rights. Research methods: theoretical (analysis, synthesis, and generalization), empirical (sociological survey and description), and generalization. Theoretical framework: The study focuses on the crucial issues of the gender system, its development, and the fulfillment of women's rights in different world countries, including Europe. The authors analyzed the basic problems and achievements in this area. Particular attention is paid to Ukraine as a country that is a candidate for accession to the European Union. Ukraine has committed to meeting generally accepted European and international standards of democracy and humanity. Thus, the sociological survey revealed Ukrainians' attitude to the phenomenon of gender equality and women's rights, their knowledge of the features of the concept, and the legislative basis for its development. It was found that gender policy in Ukraine is formed under the influence and support of Europe. Research findings prove that there should be a unified global system of gender influence. It will ensure the effectiveness of achieving equality between the sexes and facilitate daily life for other marginalized groups faster. Conclusions: The article demonstrates that it is not enough to adopt a legislative framework and be included in various international programs to address the issue of gender equality. The population needs to understand the importance of gender changes. They need to be motivated and ready for these changes. Also, the collection and processing of statistical information on gender issues must be more efficient.

The significance of digital technologies in fostering the development of communicative competence among the prospective doctors

Future doctors are expected to possess a high level of professional skills, as reflected by their acquisition of proficient communication competence. The purpose of the article is to determine the role of digital technologies in the formation of communicative competence of prospective doctors. The objective was attained through the use of observation, analysis and weight coefficient, efficiency coefficient, Spearman's correlation coefficient. It was established that the development of communicative competence skills primarily allows to ensure the relevant orientation to the communication conditions (1.6) as well as informativity (1.53). To cultivate the communication proficiencies of prospective medical professionals, the authors developed corresponding approaches that included the use of digital technologies. The study of theoretical material involved the use of the SlideDog application; conducting practical classes via Medvoice Platform. The formation of professional competence involved the role-playing of relevant situations, based on the materials of the Pediatric Dentistry Academy, CARE-NExT-PG. After determining the level of students’ communication skills development in Group 1 (40.2) and Group 2 (40.1), it was established that they attained a high level. The development of communication skills contributed to the formation of students’ communication and social skills, as well as skills of abstract thinking and statistical information processing. The practical significance of the study lies in the elaboration of effective approaches to the development of prospective doctors’ communication skills drawing on the use of digital technologies. Research perspectives may be linked to the comparison of the level of communicative competence among medical students across various academic levels.

Economic and Mathematical Model of the Development of the Digital Ecosystem of the Regional Economy (Using the Example of the Kursk Region)

Relevance. To form a system of measures for the digitalization of individual regions and the country as a whole, as well as for their effective implementation, it is necessary to develop an economic and mathematical model that allows assessing the current state of the digital ecosystem of the regional economy (DEED). The purpose is development and testing of an economic and mathematical model for the development of the digital ecosystem of the regional economy (using the example of the Kursk region). Objective: systematization of factors and indicators by categories characterizing the development of the digital ecosystem of the regional economy; calculation of indicators for each set of "Factor ‒ Indicator" for the Kursk region for the period from 2016 to 2021; conducting correlation and regression analysis for the categories "Science", "Innovation", "Human Resources", "Education", "Healthcare", "Households", "Business", "Regional Authorities". Methodology. The methodological basis of the study was: the method of statistical processing of information; methods of regression and correlation analysis. Results: factors and indicators are systematized into categories that characterize the development of the digital ecosystem of the regional economy; indicators were calculated for each set of "Factor ‒ Indicator" for the Kursk region for the period from 2016 to 2021; a correlation and regression analysis was carried out for the categories "Science", "Innovation", "Human Resources", "Education", "Healthcare", "Households", "Business", "Regional Authorities". Conclusions. Practical testing of the developed economic and mathematical model using the example of the Kursk region for some processes gave ambiguous results: a low value of the coefficient of determination, as well as non-compliance with the normative values of the Fisher f-criterion, t-criteria for the factor and the free term, which does not means the economic and mathematical model we have developed is incorrect. These results can be explained by the fact that in the region the processes under study, expressed in a certain relationship between the factor and the indicator, are at the initial stage of their formation or have not been formed. The developed economic and mathematical model for the development of the digital ecosystem of the regional economy allows us to assess the current state of the DEER, identify factors that constrain and stimulate its development, determine areas requiring financing, as well as the expected effect of the resources spent.

Control of Telecommunication Network Parameters under Conditions of Uncertainty of the Impact of Destabilizing Factors

The classification of the natural and anthropogenic destabilizing factors of a telecommunications network as a complex system is presented herein. This research shows that to evaluate the parameters of a telecommunications network in the presence of destabilizing factors, it is necessary to modify classical linear methods to reduce their sensitivity to the incompleteness of a priori information. Using generalized linear models of multiple regression, a combined method was developed for assessing and predicting the survivability of a telecommunications network under conditions of uncertainty regarding the influence of destabilizing factors. The method consists of accumulating current information about the parameters and state of the network, the statistical analysis and processing of information, and the extraction of sufficient sample statistics. The basis of the developed method was balancing multiple correlation–regression analysis with the number of regression equations and the observed results. Various methods of estimating the mathematical expectation and correlation matrix of the observed results under the conditions of random loss of part of the observed data (for example, removing incomplete sample elements, substituting the average, pairwise crossing out, and substituting the regression) were analyzed. It was established that a shift in the obtained estimates takes place under the conditions of a priori uncertainty of the statistics of the observed data. Given these circumstances, recommendations are given for the correct removal of sample elements and variables with missing values. It is shown that with significant unsteadiness of the parameters and state of the network under study and a noticeable imbalance in the number of regression equations and observed results, it is advisable to use stepwise regression methods.