Formulas For Moments Research Articles

The many faces of the stochastic zeta function

We introduce a framework to study the random entire function $\zeta_\beta$ whose zeros are given by the Sine$_\beta$ process, the bulk limit of beta ensembles. We present several equivalent characterizations, including an explicit power series representation built from Brownian motion. We study related distributions using stochastic differential equations. Our function is a uniform limit of characteristic polynomials in the circular beta ensemble; we give upper bounds on the rate of convergence. Most of our results are new even for classical values of $\beta$. We provide explicit moment formulas for $\zeta$ and its variants, and we show that the Borodin-Strahov moment formulas hold for all $\beta$ both in the limit and for circular beta ensembles. We show a uniqueness theorem for $\zeta$ in the Cartwright class, and deduce some product identities between conjugate values of $\beta$. The proofs rely on the structure of the Sine$_\beta$ operator to express $\zeta$ in terms of a regularized determinant.

Moments of deficit duration and its proportion in general compound binomial model

This paper discusses the deficit duration in the general compound binomial model. We derive the recursive formulas of moments of the deficit duration and its proportion in finite time with and without a dividend barrier, and use operators to design algorithms for finding their solutions. Under the condition of positive safety loading, we discuss the limit of deficit duration and show the convergence of moments of its proportion. In addition, the paper also discusses a sort of reinsurance strategy to significantly reduce the deficit duration. The proposed algorithms and reinsurance strategy are effective and are illustrated by numerical examples.

The Effect of Problem Based Learning (PBL) Method on Students’ Critical Thinking Ability in Fifth Grade Science Learning in Elementary Schools

This research was conducted in elementary schools to determine the effect of the PBL method on the critical thinking skills of fifth grade elementary school students using the PBL method in science subjects. In this study with a population consisting of 59 fifth grade elementary school students, the sample in this study was divided into 2 classes. A few of them; First, the experimental class. Second, the control class. The sampling technique used is a non-probability sampling technique. The design of this study used a posttest only design. In this study, the data collection process used 10 essay questions, the validity test used the product moment formula as many as 10 essay questions with the results of 8 valid questions and 2 drop questions. To test the reliability using Cronbach’s alpha. Data analysis using t-test proves that the value of t_count is greater than t_table 3,645 > 2,002, this research can be concluded that “there is the thinking ability of fifth grade elementary school students in science subjects by applying the Problem-based method (PBL) method”.

THE CORRELATION BETWEEN LEARNING MOTIVATION AND SIMPLE PRESENT TENSE MASTERY AT THE ELEVENTH GRADERS OF SMAN 02 KOTABUMI IN ACADEMIC YEAR 2020/2021

Mastery of the simple present tense is the basic in the grammar aspect that is important for every student to learn and master. However, there are some students who have not mastered the simple present tense yet. One of the reasons is that students do not have high learning motivation in mastering simple present tense. In this case, the total population in the study was 352 students. Researcher used a proportional random sampling technique to take samples from the study. Techniques in data collection are to use 40 items questionnaire of learning motivation and 30 items simple present tense mastery test. From the analysis, it is found that the relationship is 0.940 using a significant level of 5% (0.05). The results obtained using the r table using the product moment formula and also the level of confidence is 95%, with a sample size of 36 students, the results will be obtained 0.329, meaning that the robserved (0.940) > r table (0.329). So H0, was rejected and Ha was received. It meant that there is correlation between learning motivation and simple present tense mastery at the eleventh grades of SMAN 02 Kotabumi in Academic Year 2020/2021.

THE CORRELATION BETWEEN LEARNING STYLE AND STUDENTS’ VOCABULARY SIZE OF THE TENTH GRADE OF SMA KEMALA BHAYANGKARI KOTABUMI ACADEMIC YEAR 2020/2021

The lack of vocabulary size can affect their responsiveness to the material presented by the teacher in the learning process. In this case the right learning style is very important to increase the size of students' vocabulary in the learning process. If students have appropriate learning styles in learning, they will be interested in understanding each vocabulary in the learning process. The objective of this research to determine whether there is significant correlation between learning style and students' vocabulary size of the tenth grade of SMA Kemala Bhayangkari Kotabumi academic year 2020/2021. This research is a descriptive correlational research. This research uses a proportional random sampling technique to determine the sample in this research. The total sample of this research was 30 students. The population in this research consist of 86 students. The instruments used to collect the data were a multiple choice test and questionnaire of learning style. After collected data, it it was analyzed by Product Moment formula, and the results of statistical data analysis of this research was ≥ which is 0,913 ≥ 0,361 (30) (0,05). The researcher used T-test to know the significant of the correlation. The result of this research showed is grather than which is 11,819 ≥ 1,697, it means that there is significant significant correlation between learning style and students' vocabulary size of the tenth grade of SMA Kemala Bhayangkari Kotabumi academic year 2020/2021.

THE EFFECT OF MULTIPLE INTELLIGENCE-BASED GUIDED INQUIRY LEARNING ON SOCIAL SKILLS OF ELEMENTARY SCHOOL STUDENTS

This study aims at determining the effect of guided inquiry model based on multiple intelligence toward the social skills of elementary school students at Pasuruhan 1 State Elementary School, Mertoyudan District, Magelang Regency in Social Science learning of fourth grade. This research belongs to a Quasi-Experimental Design research with the Non-equivalent Control Group Design model. Research subjects were selected by Non-probability Sampling with saturation sampling model. The samples were 30 students consisting of 15 students in the experimental group and 15 students in the control group. The data collection methods were done by using a questionnaire and observation of social skills. The validity test of social skills questionnaire was done by using the product moment formula while the reliability test was done by using Cronbach Alpha formula with the help of the SPSS for windows version 25 program. Data analysis used in this research is a non-parametric statistical technique, namely the Mann-Whitney. The result of this study indicates that there is an effect of guided learning based on multiple intelligences on the social skills of elementary school students. This is proved by the results of the Mann-Whitney test analysis which shows Asymps value. Sig. (2-tailed) of 0.003 < 0.05. By this result, it can be concluded that the hypothesis is accepted.  Therefore, it can be said that there is social skills difference of the experimental class and the control class students. It is proved by a significant difference thus it shows that guided inquiry learning has a positive effect on student’s social skills

In-Plane Interactive Buckling of High Strength Steel Welded Wide Web I-Section Beam-Columns

A numerical investigation on the overall-local interactive buckling performance of high strength steel (HSS) wide web I-section members was conducted using finite element (FE) models verified against experimental data. The effect of overall slenderness, the height-thickness ratio of the web h w / t w , and the width-thickness ratio of the flanges (bf/tf) on ultimate load was parametrically analyzed. The result demonstrated that (i) for the beam-columns with higher steel grade, the Pz-Uz curve presents a relatively obvious deformation plateau, meaning a certain degree of ductility. (ii) The ultimate load decreased essentially linearly resulting from higher h w / t w , and the trend was graphically consistent under various steel grades. (iii) bf/tf lower than 0.6 led to the failure mode of shearing buckling, and the corresponding ultimate load increased with an increase of bf/tf. In the case of bf/tf greater than 0.6, the ultimate load decreased as a result of the higher bf/tf. Based on the concept of the direct strength method, the local postbuckling strength prediction formula was fitted with stub beam-column FE results and examined with experiment data. The correlation formula of compression and bending moment was proposed to evaluate the resistance of the interactive buckling of the HSS wide web I-section underpinned by the FE results of beam-columns with intermediate length and experiment data.

The Anxiety Level between Extrovert and Introvert Students in Speaking English

Students’ performance in speaking English can be influenced by students’ anxiety. This research aimed to find out the difference of anxiety level between extrovert and introvert students in speaking performance. This research was conducted at one of senior high schools in Pekanbaru, Riau Province, Indonesia by using cluster random sampling technique. The method of the research was not experimental but causal-comparative research. There were two types of questionnaires used to collect the data. The Eysenck Personality Inventory questionnaire was used to classify the extrovert and introvert students, while to find out the speaking anxiety level between extrovert and introvert students, the questionnaire of Foreign Language Classroom Anxiety Scale (FLCAS was used.. By using product moment formula through SPSS 2.4 in analyzing the data, it was found that the sig.t was 0,000, smaller than the sigma alpha of 0,05 (sig.t <0,05). It means that there is a significant difference of speaking anxiety level between extrovert and introvert students. The percentage score of anxiety level in speaking performance of extrovert students was 106%%. It was categorized as "Low" level. The percentage score of anxiety level in speaking performance of introvert students was 122%. It was categorized as "Medium" level.

Seismic performance of CFST column bolted flange splice joints with connecting plates and rebar hooks

A stiffened bolted flange splice joint configuration with connecting plates and rebar hooks for concrete-filled steel tubular columns is proposed for high-rise prefabricated steel structures. Four full-scale specimens with different flange thickness or different stiffener layouts were tested under cyclic loads, and the hysteretic behaviors, performance indicators, ductility and stiffness were analyzed. Compared with conventional joints, the bolted flange splice joints with connecting plates and rebar hooks show higher yield moments and stiffness. Finite element models that were verified by test results were established and adopted to further analyze the seismic performance of these proposed joints. The rotation capacity and stress distribution were analyzed, and the stiffened joints with connecting plates and rebar hooks could be regarded as rigid for high-rise structures based on the stiffness. Parametric analysis was conducted to analyze the influences of connecting plate or rebar hook parameters, proposing design recommendations accordingly. Formulas of the yield moments for these stiffened joints were proposed, and the calculated results have good agreements with that of tests and the FE analysis, indicating that the formulas could be used in the practical design.

Electricity Intraday Price Modelling with Marked Hawkes Processes

We consider a two-dimensional marked Hawkes process with increasing baseline intensity to model prices on electricity intraday markets. This model allows to represent different empirical facts such as increasing market activity, random jump sizes but above all microstructure noise through the signature plot. This last feature is of particular importance for practitioners and has not yet been modelled on those particular markets. We provide analytic formulas for first and second moments and for the signature plot, extending the classic results of Bacry et al. [2013a. ‘Modelling Microstructure Noise with Mutually Exciting Point Processes.’ Quantitative Finance 13 (1): 65–77. doi:10.1080/14697688.2011.647054.] in the context of Hawkes processes with random jump sizes and time-dependent baseline intensity. The tractable model we propose is estimated on German data and seems to fit the data well. We also provide a result about the convergence of the price process to a Brownian motion with increasing volatility at macroscopic scales, highlighting the Samuelson effect.

Relationship Between Students' Motivation and Reading Comprehension Achievement at the 4th Semester Students of English Language Education Study Program of STKIP Nias Selatan

This research aimed to know the correlation between students’ motivation and reading comprehension achievement. This research was as kind of correlational research with Pearson Product Moment Formula. It was conducted at the 4

Pengaruh Budaya Populer Korea terhadap Perilaku Modeling Siswa Madrasah Aliyah Negeri

This study aimed to examine the existence of Korean popular culture on the modeling behavior of class XI students at MAN 1 Bojonegoro. The research approach used is quantitative with the correlation method. The sampling technique used is purposive sampling. Data were collected using a questionnaire distributed to 100 students of class XI MAN Bojonegoro. The data that has been obtained is then processed using the Pearson Product Moment formula through SPSS Version 25 for Windows. Based on the results of simple linear regression analysis with the t-test, it can be seen that the t-value of the popular culture variable is 21.849, while the t-table value is 2.01174. The calculated t value is more significant than the t table, so it can be concluded that the popular culture variable (X) significantly affects the modeling behavior variable (Y).

On the Distribution of the Information Density of Gaussian Random Vectors: Explicit Formulas and Tight Approximations.

Based on the canonical correlation analysis, we derive series representations of the probability density function (PDF) and the cumulative distribution function (CDF) of the information density of arbitrary Gaussian random vectors as well as a general formula to calculate the central moments. Using the general results, we give closed-form expressions of the PDF and CDF and explicit formulas of the central moments for important special cases. Furthermore, we derive recurrence formulas and tight approximations of the general series representations, which allow efficient numerical calculations with an arbitrarily high accuracy as demonstrated with an implementation in Python publicly available on GitLab. Finally, we discuss the (in)validity of Gaussian approximations of the information density.

Hubungan Kontrol Diri dan Pengalaman Mengikuti Konseling Kelompok terhadap Penerimaan Diri Siswa

This study aims to determine the relationship of self-control, group counseling services, and self-acceptance of class VIII students of SMP Negeri 1 Ungaran. This research is a type of quantitative research with ex post facto research methods and correlational research design. The research subjects were 161 students from 314 students with a sampling technique that was random sampling. The instrument used in this study consisted of a self-control scale, a scale of experience following group counseling and a scale of self-acceptance. The validity test uses the product moment formula and the reliability test uses the alpha formula and to analyze the data using the data normality test, linearity test, product moment and multiple correlation. The results of the analysis show that the significant value of the relationship between self-control and the experience of participating in group counseling on self-acceptance is 0.000 <0.05 and the R-value is 0.532. So it can be concluded that there is a relationship between self-control and the experience of participating in group counseling on self-acceptance and is categorized as moderate

Hubungan Antara Kondisi Lingkungan Sekolah Dengan Aktivitas Belajar Siswa SMA Shailendra Palembang

The learning process is carried out by explaining and student activities are only limited to listening, taking notes and answering when asked questions by the teacher. This teaching andlearning process clearly does not encourage students to be active and creative. The purpose of this study was to determine the relationship between the condition of the school environment and the learning activities of high school students Shailendra Palembang. The research method used in this study is the correlational method. The variables of this study consisted of the independent variable, namely the condition of the school environment and the dependent variable, namely learning activities. The population in this study were all students of class X at SMA Shailendra Palembang, while the sampling technique was based on a total sampling of 47 students. The data collection technique used a questionnaire technique, while the data analysis technique used the product moment formula. The results showed that the average condition of the school environment was 126.19 and the average learning activity was 127.77. This means that the average learning activity is higher than the school environment. Based on the results of the study, the condition of the school environment has a significant relationship with student learning activities at SMA Shailendra Palembang, as evidenced by the results of hypothesis testing with a value of rcount = 0.543 > rtable = 0.288.

Simple Closed-Form Formulas for Conditional Moments of Inhomogeneous Nonlinear Drift Constant Elasticity of Variance Process

The stochastic differential equation (SDE) has been used to model various phenomena and investigate their properties. Conditional moments of stochastic processes can be used to price financial derivatives whose payoffs depend on conditional moments of underlying assets. In general, the transition probability density function (PDF) of a stochastic process is often unavailable in closed form. Thus, the conditional moments, which can be directly computed by applying the transition PDFs, may be unavailable in closed form. In this work, we studied an inhomogeneous nonlinear drift constant elasticity of variance (IND-CEV) process, which is a class of diffusions that have time-dependent parameter functions; therefore, their sample paths are asymmetric. The closed-form formulas for conditional moments of the IND-CEV process were derived without having a condition on eigenfunctions or the transition PDF. The analytical results were examined through Monte Carlo simulations.

EFFECT OF SERVICE PERFORMANCE ON COMMUNITY SATISFACTIONOLIBU VILLAGE, KECAMATAN PAGUYAMAN PANTAI, BOALEMO DISTRICT

The purpose of this study was to determine:1) the still slow service of village government officials in serving the communityl; 2) the attitude of village officials who were less friendly in serving the community, 3) village government officials were still not on time in serving the community.
 Jenis survey research with a quantitative approach and data obtained through observation data collection techniques, questionnaires, documentation for further processing using correlation and simple regression.
 The results showed that the results of the correlation analysis with the Pearson product moment (PPM) formula obtained the value of r = 0.399. This means that service performance has a very close relationship with community satisfaction. Meanwhile, from the results of the significance test by comparing the probability value of 0.05 with the sig value, it is known that the probability value is greater than the sig value (0.05> 0.001), this indicates that there is a significant relationship between Service Performance. and Community Satisfaction. Furthermore, from the results of linear regression testing, the correlation coefficient Rsquare = (0.160) was obtained. This shows that (Y) is influenced or contributed by (X) of 16.0% and the remaining 84.0% is influenced by other factors or variables. The results of linear regression testing also obtained a regression equation y ̂ = 20.242 + 0.399x. Therefore, every 1 unit addition to the service quality variable, will increase the reality by 0.399 and vice versa. Thus, it can be stated that any increase or decrease in the independent variable (X) will result in an increase/decrease in the dependent variable (Y). This shows that the researcher's hypothesis is proven and acceptable.

The Correlation Between English Language Learning Strategies and Students' Thinking Style at The Second Grade of MAN 1 Kolaka

This study was conducted at MAN 1 Kolaka. The objective is to find out information and data weather there is any correlation between English language learning strategy and students’ thinking style at the second grade AGAMA I of MAN 1 Kolaka. The research design is descriptive quantitative in nature. The data were collected through questionnaires. Findings revealed that the English Language Learning Strategy at the second grade AGAMA I of MAN 1 Kolaka were Metacognitive with the total frequency of 47% and Students’ Thinking Style were Extrovert with the total percentage of 53%. The Population of the study was the second-grade students of MAN 1 Kolaka and the sample of the research was 1 class based on random sampling technique which consisted of 15 students. The data analysis used in this research was product moment formula which showed that there were no correlation between English Language Learning Strategy and Students’ Thinking Style. It could be synthesized that hypothesis were r-count was lower than r-table. So H1 was rejected and H2 was accepted. The coefficient Correlation between English Language Learning Strategies and Students’ Thinking Style did not have any significant correlation with the r-count = -0,218 was lower than r-table 0,514 at the significance level 5% and degree of freedom (df) was 15 (-0,218>0,514). Therefore, it was categorized as low correlation. H0 and H1 was rejected and H2 was accepted.

Hubungan Guru Profesional Terhadap Hasil Belajar Siswa Pada Mata Pelajaran IPS di SMP Negeri 65 Bengkulu Utara

This study aims to look at: 1) Professional Social Studies teacher class VIII at SMP Negeri 65 Bengkulu Utara, 2) student learning outcomes in social studies subject class VIII at SMP Negeri 65 Bengkulu Utara, 3) The relationship of professional teachers to student learning outcomes in subjects Social Studies Class VIII at SMP Negeri 65 Bengkulu Utara. This type of research is quantitative. Data collection techniques using questionnaires, observation, and documentation. The data analysis technique used in this research is statistical analysis using the following steps: Editing, scoring, and testing the hypothesis using the r product moment formula. After the data was collected and the research results were obtained as follows: 1) Professional Social Sciences teacher class VIII at SMP Negeri 65 Bengkulu Utara is 76.5 2) The average value of class VIII students in social studies subjects is 83.34 3) Professional teacher and student learning outcomes there is a significant relationship, professional teachers with student learning outcomes in social studies subjects with a relationship between the two variables of 20.1%, then 79.9% is determined by other factors.

Pengaruh Playstation Terhadap Prestasi Belajar Siswa Bidang Studi Aqidah Akhlak Kelas IV Di Madrasah Ibtidaiyah Muhammadiyah 03 Weru

In this study the author uses quantitative methods, while for data collection using questionnaires, documentation, observation, while the population is the entire number of fourth grade students at MI Muhammdiyah 03 Weru-Paciran, totaling 35 students and 25 being taken as samples. To analyze the final results the author uses the Product Moment formula with the formula: rxy= (∑xy)/√((∑x^2 )(∑y²)).
 In this study, the results obtained from data analysis using the Product Moment formula which the results reached 1.0208 were rounded up to 1. So the results and conclusions can be obtained that playing Playstation games is very influential on student achievement in the Aqidah Akhlak class IV study at MI Muhammdiyah 03 Weru-Paciran.