Reliability Estimates Research Articles

Balancing innovation: the role of paradoxical leadership and ambidexterity in fostering team creativity

Purpose This study, grounded in ambidexterity theory, aims to investigate how paradoxical leadership (PXL) fosters team creativity in high-tech manufacturing companies, with team ambidexterity as a mediator and leader vision as a moderator. Given the fast-paced, innovation-driven demands of the high-tech sector, this research provides insights into how managers can effectively balance contradictory behaviors to drive team innovation. Design/methodology/approach Data was collected through a two-wave survey from team leaders and members across 169 teams in high-tech manufacturing companies. The time interval between data collection waves was two weeks. The data was aggregated at the team level using estimates for interrater reliability and interrater agreement. The structural equation modeling in R was used to test hypotheses. Findings The findings indicate that PXL positively impacts team creativity directly and through its influence on team ambidexterity. Team ambidexterity mediates the relationship between PXL and team creativity, while leader vision moderates the effects of PXL on team ambidexterity. Practical implications PXL benefits high-performance teams in technology sectors, such as software development, where rapid innovation and iterative processes are essential. In health care, PXL can optimize team dynamics, enabling medical research and patient care delivery breakthroughs. Regular training in ambidextrous thinking and feedback mechanisms makes this approach actionable for managers striving to cultivate creativity in high-stakes environments. Originality/value This study extends ambidexterity theory by linking PXL and team ambidexterity to team creativity. It provides high-tech manufacturing managers with concrete strategies to balance exploration and exploitation. These findings highlight actionable pathways for companies to sustain innovation in competitive, technology-driven industries.

Psychometric Properties of the PLAYself in a Cohort of Secondary School Student-Athletes.

Physical literacy is the motivation, confidence, physical competence, knowledge, and understanding, enabling individuals to value and take responsibility for engagement in physical activities for life. While tools exist to measure physical literacy in most populations, the psychometric properties of the Physical Literacy Assessment for Youth (PLAY) tool in an older adolescent age group are currently unknown. The purpose of this work was to determine the psychometric properties of the PLAY tool, specifically the PLAYself, in an older adolescent age group (~14-18 years). One hundred and fifty-one secondary school in-season student-athletes completed the PLAYself, with construct validity assessed using an Exploratory Factor Analysis (EFA). Results from the EFA yielded a 7-factor model across the three subsections (environment, physical literacy self-description, relative rankings of literacies) of the PLAYself, all with acceptable levels of internal consistency. The PLAYself produced acceptable estimates for construct validity and reliability, making it a useful tool for measuring physical literacy in secondary school student-athletes.

Reliable Change Indices for the Serial Administration of the Concussion Clinical Profiles Screening Tool.

The Concussion Clinical Profiles Screening Tool (CP Screen) self-report concussion symptom inventory is often administered at weekly intervals. However, 1-week reliable change indices (RCIs) for clinical cutoffs and the test-retest reliability of the CP Screen are unknown. To document RCI cutoff scores and 1-week test-retest reliability for each profile and modifier of the CP Screen for men and women. Case series. A large US university. One hundred seventy-three healthy college students. Participants completed 2 administrations of the CP Screen 7 days apart. The CP Screen items yielded 5 clinical profiles and 2 modifiers. Spearman ρ coefficients (rs), intraclass correlation coefficients (ICCs), single measures, and unbiased estimates of reliability (UERs) were used to assess test-retest reliability. Wilcoxon signed-rank tests assessed differences across time. Reliable change index values and cutoff scores are provided at 90%/95% CIs. All analyses were performed for the total sample and separately for men and women. Reliable change index cutoffs for clinically significant change (increase/decrease) at a 90% CI for men were as follows: ocular, vestibular >2/>4; anxiety/mood, cognitive/fatigue, and migraine >3/>3; sleep >4/>6; and neck >2/>2. Reliable change index cutoffs for clinically significant change (increase/decrease) at a 90% CI for women were as follows: anxiety/mood ≥2/≥4; cognitive/fatigue, migraine, ocular, vestibular, and sleep ≥3/≥3; and neck ≥1/≥1. Correlations for the CP Screen ranged from 0.51 (migraine) to 0.79 (anxiety/mood) for the total sample, from 0.48 (migraine) to 0.84 (vestibular) for men, and from 0.51 (migraine) to 0.77 (ocular) for women. Test-retest indices for each profile and modifier were moderate to good for the total sample (ICC, 0.64-0.82; UER, 0.79-0.90), men (ICC, 0.60-0.87; UER, 0.76-0.94), and women (ICC, 0.64-0.80; UER, 0.78-0.89). The CP Screen is reliable and stable across a 1-week interval, and established RCIs for men and women can help identify meaningful change throughout recovery.

Measuring Linguistic Growth in Sentence-Level Writing Curriculum-Based Measures: Exploring Complementary Scoring Methods.

Picture-word writing curriculum-based measures (PW CBM-Ws) are technically sound, formative measures of descriptive, sentence-level writing but cannot estimate underlying linguistic skills. The purpose of this exploratory alternative scoring investigation was to apply metrics from language sample analysis (LSA) to PW CBM-Ws as a complementary measure of underlying language skills in beginning writers' sentence-level writing. LSA metrics were applied to 104 typically developing first through third graders' PW CBM-W samples across fall and spring semesters. Factorial analyses of variance with post hoc Bonferroni pairwise comparisons were applied after obtaining alternate-form reliability and criterion-related validity estimates. Analyses revealed reliable discrimination between grades and significant growth between fall and spring semesters for three LSA metrics: mean length of T-unit in words, mean length of T-unit in morphemes, and number of different words. While mean length of T-unit in words and morphemes demonstrated evidence of discrimination and growth in first grade only, number of different words showed evidence of reliable discrimination and growth in first and third grades. Mean length of T-unit in words, mean length of T-unit in morphemes, and number of different words showed evidence of adequate criterion-related validity, discrimination among grades, and sensitivity to growth when calculated using PW CBM-W samples to gauge underlying linguistic skills in first- and third-grade students. Implications and future directions for research are discussed. https://doi.org/10.23641/asha.25050290.

Validation of the Ukrainian caregiver-report version of the Child and Adolescent Trauma Screen (CATS) in children and adolescents in Ukraine.

Emerging research indicates that the ongoing conflict in Ukraine has led to an increased prevalence of war-related posttraumatic stress disorder (PTSD) in children and adolescents. The current study sought to test the psychometric properties of a Ukrainian-translated measure of PTSD for children and adolescents; the Child and Adolescent Trauma Screen (CATS; Sachser et al., 2017). Participants were an opportunistic sample of N = 2,004 parents living in Ukraine who provided data on themselves and one target child in their household as part of The Mental Health of Parents and Children in Ukraine Study. The latent structure of the parent-reported CATS was tested using confirmatory factor analysis, composite reliability estimates were estimated, and criterion validity was assessed. The latent structure of the parent-reported CATS was best reflected by a three-factor model and a four-factor model in the preschool and child and adolescent samples, respectively. Estimates of internal reliability were high for both samples. Criterion validity was supported through associations with external measures of internalizing, externalizing, and attention problems. Parent-report child milestone development delays and prior psychological or pharmacological support were associated with higher average scores on the CATS symptom scales. The prevalence of probable PTSD for the preschool sample was 15.4% (n = 77) and the prevalence of probable PTSD for the child and adolescent sample was 14.4% (n = 217). This study supports the psychometric properties of the Ukrainian parent-reported CATS which can be used routinely in clinical practice for the caregiver-rated assessment of PTSD. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

Estimation of Cronbach reliability based on sample size, gender, and the grades

<span lang="EN-US">The study tries to see the effect of different sample sizes on the reliability of creativity tests using Cronbach’s alpha. In addition, the background of the sample (gender and grade) is also detected. The study has a practical significance for designing a sample for estimating reliability using Cronbach alpha. The secondary data are used for analysis. The sample of creativity test is determined purposively, that is, has been administered to 1,960 students. The α-coefficient calculation uses the SPSS program. The result proves in the total sample, the creativity test is reliable (α=0.852). In small sample sizes, the α-coefficients values vary greatly in the different test groups. In the larger sample size, the α-coefficients are closer to constant in the different test groups. For a polytomous scale test with a length of 20 items, the α-coefficients obtained close to constant on the sample size of more than 80 testees. This result indicates for the optimum result the sample size is at least four times larger than the number of test items in reliability analysis, especially Cronbach alpha. Based on the gender aspect, descriptively the α-coefficient in the male group (0.846) was almost equal to the female group (0.851). By grouping the testees based on the grades, there are slight differences in α-coefficients in class IV (0.850), class V (0.841), and class VI (0.809). Regarding the results of this study, in the reliability estimation of test development, it is suggested to consider the adequacy and the characteristic of samples.</span>

Objective Bayesian estimation for multistate stress‐strength model's reliability with various kernel functions

AbstractThe paper discusses the objective Bayesian estimation of the reliability of a multistate stress‐strength model (MSSM) based on different kernel functions. For the MSSM, we first derive the reliability function and Fisher information matrix. The Jeffreys prior, reference prior, and probability matching prior for the reliability function of the MSSM are constructed based on the objective Bayesian paradigm. Subsequently, we demonstrated that these priors are improper density, then evaluated the effects of these priors on Bayes estimates for MSSM's reliability based on a complete sample. The Bayesian estimates are calculated using random walk Metropolis–Hastings techniques. We employ Monte Carlo simulation to examine the effectiveness of Bayes estimates for MSSM's reliability in terms of average bias and mean squared error, meanwhile the highest posterior density credible intervals are investigated in terms of average length and coverage probability. Finally, two real datasets were examined, demonstrating the viability of the objective Bayes technique for small sample data.

Comparing psychopathological symptoms, life satisfaction, and personality traits between the WHO and APA frameworks of gaming disorder symptoms: A psychometric investigation.

The inclusion of Internet Gaming Disorder (IGD) in the fifth revision of the Diagnostic and Statistical Manual of Mental Disorders (DSM-5) by the American Psychiatric Association and Gaming Disorder in the 11th revision of the International Classification of Diseases (ICD-11) by the World Health Organization requires consistent psychological measures for reliable estimates. The current study aimed to investigate the psychometric properties of the Gaming Disorder Test (GDT), the Ten-Item Internet Gaming Disorder Test (IGDT-10), and the Five-Item Gaming Disorder Test (GDT-5) and to compare the WHO and the APA frameworks of gaming disorder symptoms in terms of psychopathological symptoms, life satisfaction, and personality traits. A sample of 723 Swedish gamers was recruited (29.8% women, 68.3% men, 1.9% other, Mage = 29.50 years, SD = 8.91). The results indicated notable differences regarding the estimated possible risk groups between the two frameworks. However, the association between gaming disorder symptoms and personality traits, life satisfaction, and psychopathological symptoms appeared consistent across the two frameworks. The results showed excellent psychometric properties in support of the one-factor model of the GDT, IGDT-10, and GDT-5, including good reliability estimates (McDonald's omega) and evidence of construct validity. Additionally, the results demonstrated full gender and age measurement invariance of the GDT, IGDT-10, and GDT-5, indicating that gaming disorder symptoms are measured equally across the subgroups. These findings demonstrate that the IGDT-10, GDT-5, and GDT are appropriate measures for assessing gaming disorder symptoms and facilitating future research in Sweden.

Estimation of Reliability under Conditional Stress - Strength Setup based on Weibull Distribution

The Weibull distribution has been extensively studied and applied across various fields due to its versatility in modeling a wide range of phenomena, especially in reliability engineering, survival analysis, and lifetime modeling. The concept of Rl a,b , which represents a system's reliability in a conditional stress-strength setup, was proposed by Sabre and Khorshidian (2021). In this research, the problem of estimating reliability of the component is considered when strength variable X and stress variable Y follow independent Weibull distributions with common shapes and different scale parameters under conditional stress-strength setup. The maximum likelihood estimator, asymptotic confidence interval, Bootstrap estimators, Boot-p estimators, and Bayes estimator under-squared error loss function with associated highest posterior density interval are constructed for conditional stress-strength reliability. Simulation study is conducted to estimate mean square error (MSE) of estimator of conditional stress-strength reliability. The real data analysis is also carried out.

Construction and Initial Examination of Inter-Rater Reliability of a Structured Clinical Interview for DSM-5-TR Sleep Disorders (SCISD) – Kid

ABSTRACT Study Objectives To construct and evaluate the inter-rater reliability of the Structured Clinical Interview for DSM-5-TR Sleep Disorders – Kid (SCISD-Kid). Method The SCISD-Kid was modeled on the adult SCISD-R and accounted for pediatric developmental and sociocultural factors. Fifty sleep-disturbed children (M age = 11.9, SD = 2.9) and 50 caregivers responded to the final SCISD-Kid. Video recordings were double-scored to evaluate inter-rater reliability. Results The final SCISD-Kid contained approximately 90 questions. Eight of the nine covered disorders had prevalence rates sufficient for analyses for both samples (i.e., k > 2). Inter-rater reliability was examined using Cohen kappa coefficients (κ); reliability estimates ranged from excellent to good. For youth, restless legs syndrome yielded the lowest reliability (.48), while nightmare disorder, narcolepsy, and NREM sleep arousal disorder – sleepwalking type showed the highest reliability (1.00). Across caregivers, NREM sleep arousal disorder – sleep terror type (.49) and hypersomnolence (.54) had the lowest reliability. In contrast, circadian rhythm – delayed sleep phase type, nightmare disorder, and NREM sleep arousal disorder – sleepwalking type showed the highest reliability (1.00). Conclusions The SCISD-Kid is a promising tool for screening sleep disorders. It showed good to excellent reliability across both samples. Next steps for validation will be discussed.

Visualizing Agreement: Bland–Altman Plots as a Supplement to Inter-Rater Reliability Indices

ABSTRACT Even when raters demonstrate agreement in the use of a measure, limited score variability or violation of often-ignored statistical assumptions can result in lower reliability estimates than intuitively expected. This article uses data drawn from two randomized controlled trials of schema therapy and cognitive behavioral therapy for the treatment of major depression and binge eating disorder or bulimia nervosa (N = 212) to illustrate the limits of the intraclass coefficient. Randomly selected therapy sessions were rated for therapeutic alliance quality by independent observers using the well-validated Vanderbilt Psychotherapy Process Scale and Vanderbilt Therapeutic Alliance Scale. Scores on subscales related to therapist behavior were restricted, indicating consistent alliance-supportive actions. Inter-rater reliability estimates were low despite high agreement between raters, however. The use of Bland–Altman plots to visualize agreement and data spread is suggested as a useful tool for researchers, consistent with the ideal of exploring reliability from a number of perspectives.

Meta-analytical estimates of interrater reliability for direct supervisor performance ratings: Optimism under optimal measurement designs.

Performance appraisal (PA) is used for various organizational purposes and is vital to human resources practices. Despite this, current estimates of PA reliability are low, leading to decades of criticism regarding the use of PA in organizational contexts. In this article, we argue that current meta-analytical interrater reliability (IRR) coefficients are underestimates and do not reflect the reliability of interest to most practitioners and researchers-the reliability of an employee's direct supervisor. To establish the reliability of direct supervisor ratings, those making PA ratings must directly supervise employee job performance instead of nonparallel rater designs (e.g., direct supervisor ratings correlated with ratings from a more senior leader). The current meta-analysis identified 22 independent samples that met this more restrictive study inclusion criterion, finding an average observed IRR of .65. We also report reliability estimates for several important contextual moderators, including whether ratings were completed in operational settings (.60) or for research purposes (.67). In sum, we argue that this study's meta-analytical IRR estimates are the best available estimates of direct supervisor reliability and should be used to guide future research and practice. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Estimation Study of Multicomponent Stress-Strength Reliability Using Advanced Sampling Approach

In this study, we analyze a multicomponent system with v independent and identical strength components X1,…, Xv and each of these components is exposed to a common random stress Y. The system is considered to be operating only if at least u out of v (1 u  v) strength variables exceed the random stress. The estimate of the system reliability is investigated, assuming the strength and stress random variables follow the exponentiated exponential distribution having different shape parameters. The maximum likelihood estimator for the system reliability is derived from ranked set sampling (RSS), neoteric RSS (NRSS), and median RSS (MRSS). Some accuracy measurements, such as mean squared errors and efficiencies, are used to examine the behaviour of various estimates. Simulation studies demonstrate that the NRSS scheme's reliability estimates are chosen above those of the others under the RSS and MRSS schemes in the majority of situations. Theoretical research is explained through real data analysis.

Fault Tree Analysis Including Component Dependencies

Fault Tree (FT) analysis is not only the most common technique used in engineering practice for the estimation of system reliability, but is also a key tool shared between designers, analysts, and regulators for the safe operation and licensing purposes. In spite of its long lasting success, traditional FT analysis presents significant limitations in modeling a wide range of features frequently encountered in modern systems. The most critical of these is the assumption of failure events independence, which is often not justified by the realistic behavior of the engineering system, undermining modeling accuracy. This article introduces a novel methodology for the analysis of FTs allowing for component dependencies and dynamic features. The proposed approach, based on the use of binary decision diagrams, is demonstrated using a simple numerical application for verification. Its applicability and computational feasibility is discussed in details.

An Expanded Daily Alcohol Expectancies Measure: Results on the Multilevel Factor Structure and Psychometric Properties.

Alcohol expectancies are beliefs people have about the likelihood of experiencing various positive or negative consequences related to alcohol use. Expectancies have most commonly been treated as traitlike characteristics of individuals, but some researchers have assessed expectancies as state-level characteristics that vary within persons across days. Previous work developed a 13-item daily alcohol expectancies measure. This study evaluated an expanded version of that measure that includes 10 additional expectancy items. Participants were 2- and 4-year college students (N = 201; 63.7% female; 55.2% White non-Hispanic; 75.1% 4-year students) randomized to the control group of a longitudinal study designed to test the efficacy of a just-in-time adaptive intervention delivered via mobile app to reduce high-risk alcohol use. Multilevel exploratory factor analysis was used to determine the factor structure at the daily and person levels. Multilevel models were used to evaluate the convergent validity of the resulting subscales. Two factors, broadly representing positive and negative alcohol expectancies, were retained at the daily and person levels. Composite reliability (omega) estimates ranged from .85 to .96 and suggested that the reliability of the resulting subscales was good to strong. Associations between the daily expectancy subscales and baseline scores on an established expectancies measure provided preliminary evidence of convergent validity. Findings indicate that this expanded 23-item daily alcohol expectancies measure is psychometrically sound. This measure is appropriate for use in daily or just-in-time expectancy challenge interventions. It is suitable for use among 2- and 4-year college students who drink alcohol regularly and occasionally in heavy quantities and who experience alcohol-related negative consequences.

Proposed Specifiers for Conduct Disorder (PSCD): Further validation of the parent-report version in a nationally representative U.S. sample of 10- to 17-year-olds.

The Proposed Specifiers for Conduct Disorder (PSCD; Salekin & Hare, 2016) is a new self-report and informant measure designed to assess psychopathic characteristic domains along with symptoms of conduct disorder in youth. Previous factor analytic studies on the PSCD have found that the items are accounted for by a four-factor model reflecting grandiose-manipulative, callous-unemotional, daring-impulsive, and conduct disorder (CD) symptoms. The present study examined the factor structure, psychometric properties, and criterion-related validity of the parent-report version of the PSCD (PSCD-P) in a nationally representative U.S. sample of children and adolescents (N = 1,091, Mage = 13.39, SD = 2.20, range age = 10-17; 50.0% boys, 76% White). Confirmatory factor analyses for the full (24-item) and a shortened (13-item) PSCD-P revealed good internal reliability estimates and support for the four-factor model (grandiose-manipulative, callous-unemotional, daring-impulsive, CD). Results also provided evidence for (a) measurement invariance of the PSCD-P items across sex, race/ethnicity, and age of the child; (b) convergent validity with CD/oppositional defiant disorder symptoms and discriminant validity with a measure of neuroticism; and (c) criterion-related validity with respect to prosociality, peer and family functioning, reactive and proactive aggression, delinquency, academic performance, and substance use. The prevalence for psychopathic personality propensity was found to be 2%. We discuss clinical and research implications regarding the use of the parent-report version of the PSCD for school-aged children. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Bayesian estimation of equipment reliability with normal-type life distribution based on multiple batch tests

Abstract The test of new equipment is usually carried out in multiple batches according to the task schedule and test results. Constrained by the test environment, cost, and other factors, the amount of reliability test data in each batch is relatively limited, which brings difficulties to the accurate equipment reliability estimation work. For the reliability simulation tests conducted before each batch tests, it is particularly important to make full use of each batch tests information and simulation tests information to estimate the reliability of the equipment for small sample tests. This study takes the common normal-type life distribution equipment as the research object, and selects the normal-inverse gamma distribution as the equipment life parameters prior distribution based on the Bayesian method. Combined with the system contribution, the fusion weights of each batch tests information are determined and all the batch tests information is fused. Finally, the estimation of equipment reliability based on multiple batch tests is completed. The research results show that this method can integrate the information of each batch test and simulation test, overcome the problem of insufficient information of single batch tests, and provide an effective analytical tool for equipment reliability estimation.

Multisensory perception depends on the reliability of the type of judgment.

The brain engages the processes of multisensory integration and recalibration to deal with discrepant multisensory signals. These processes consider the reliability of each sensory input, with the more reliable modality receiving the stronger weight. Sensory reliability is typically assessed via the variability of participants' judgments, yet these can be shaped by factors both external and internal to the nervous system. For example, motor noise and participant's dexterity with the specific response method contribute to judgment variability, and different response methods applied to the same stimuli can result in different estimates of sensory reliabilities. Here we ask how such variations in reliability induced by variations in the response method affect multisensory integration and sensory recalibration, as well as motor adaptation, in a visuomotor paradigm. Participants performed center-out hand movements and were asked to judge the position of the hand or rotated visual feedback at the movement end points. We manipulated the variability, and thus the reliability, of repeated judgments by asking participants to respond using either a visual or a proprioceptive matching procedure. We find that the relative weights of visual and proprioceptive signals, and thus the asymmetry of multisensory integration and recalibration, depend on the reliability modulated by the judgment method. Motor adaptation, in contrast, was insensitive to this manipulation. Hence, the outcome of multisensory binding is shaped by the noise introduced by sensorimotor processing, in line with perception and action being intertwined.NEW & NOTEWORTHY Our brain tends to combine multisensory signals based on their respective reliability. This reliability depends on sensory noise in the environment, noise in the nervous system, and, as we show here, variability induced by the specific judgment procedure.

Perceptions of Justice in Clinical Learning Environments: Development and Validation of an Organizational Justice Measure for Medical Trainees.

This study aimed to develop an instrument to measure medical trainees' perceptions of justice in clinical learning environments. Between 2019 and 2023, the authors conducted a multiyear, multi-institutional, multiphase study to develop a 16-item justice measure with 4 dimensions: interpersonal, informational, procedural, and distributive. The authors gathered validity evidence based on test content, internal structure, and relationships with other variables across 3 phases. Phase 1 involved drafting items and gathering evidence that items measured intended dimensions. Phase 2 involved analyzing relevance of items for target groups, examining interitem correlations and factor loadings in a preliminary analysis, and obtaining reliability estimates. Phase 3 involved a confirmatory factor analysis and collecting convergent and discriminant validity evidence. In phase 1, 63 of 91 draft items were retained following a content validation exercise gauging how well items measured targeted dimensions (mean [SD] item ratings within dimensions, 4.16 [0.36] to 4.39 [0.34]) on a 5-point Likert scale (with 1 indicating not at all well and 5 indicating extremely well). In phase 2, 30 items were removed due to low factor loadings (i.e., < 0.40), and 4 items per dimension were selected (factor loadings, 0.42-0.89). In phase 3, a confirmatory factor analysis supported the 4-dimensional model ( χ2 = 610.14, P < .001; comparative fit index = 0.90, Tucker-Lewis Index = 0.87, root mean squared error of approximation = 0.11, standardized root mean squared residual = 0.06), with convergent and discriminant validity evidence showing hypothesized positive correlations with a justice measure ( r = 0.93, P < .001), trait positive affect ( r = 0.46, P < .001), and emotional stability ( r = 0.33, P < .001) and negative correlations with trait negative affect ( r = -0.39, P < .001). Results indicate the measure's potential utility in understanding justice perceptions and designing targeted interventions.

Family of Kumaraswamy generalized distribution in estimation of multi-component reliability under the adaptive hybrid progressive censoring schemes

ABSTRACT In this paper, the statistical inference on multi-component stress-strength parameter with non-identical-component strengths, based on Kumaraswamy generalized distribution under adaptive hybrid progressive censoring samples, is considered. The problem is solved in three cases. First, when one parameter is unknown, the maximum likelihood estimation (MLE), Bayes approximations, asymptotic and highest posterior density intervals are obtained. Second, when the common parameter is known, MLE, approximation Bayes estimations, uniformly minimum variance unbiased estimator and different confidence intervals are provided. Third, when all parameters are different and unknown, MLE and Bayesian estimation are studied. The Monte Carlo simulation is employed to compare the estimations. Based on the simulation results, it is observed that the Bayesian estimates perform better than MLEs. Also, the highest posterior density intervals have better performance than asymptotic intervals. Moreover, it is observed that the performance of uniformly minimum variance unbiased estimators is worse than MLEs. To implement the theoretical method, two real data sets are analyzed.