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Modeling Age at Menstrual Onset and Developing Menarcheal Life Table 模拟月经开始年龄和制定月经周期生命表
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-10-14 DOI: 10.13052/jrss0974-8024.1428
Brijesh P Singh
{"title":"Modeling Age at Menstrual Onset and Developing Menarcheal Life Table","authors":"Brijesh P Singh","doi":"10.13052/jrss0974-8024.1428","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1428","url":null,"abstract":"Population scientists are generally developing mathematical models/techniques in demography and to provide brief explanation of extensive data sets. The prime objective of the present paper is to propose a probability model to illustrate the distribution of female’s age at first menstrual onset. Menarcheal age distribution is used to evaluate risk associated to reproductive issues and may be used as a demographic indicator of female fecundity. The suitability of proposed model is tested with the real data sets. Parameters of the proposed distribution have been estimated through least square estimation technique. It is observed that older female’s age at menarche is somewhat higher than the younger female’s age at menarche. Also we have constructed a life table for menarcheal age using a probability model. This life table is enable to provide expected duration of getting menarche for a girl of a particular age.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43908502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Poisson Nadarajah-Haghighi Distribution: Different Methods of Estimation Poisson-Nadrajah-Hagheii分布：不同的估计方法
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-08-30 DOI: 10.13052/jrss0974-8024.1423
Sajid Ali, S. Dey, M. H. Tahir, M. Mansoor
{"title":"The Poisson Nadarajah-Haghighi Distribution: Different Methods of Estimation","authors":"Sajid Ali, S. Dey, M. H. Tahir, M. Mansoor","doi":"10.13052/jrss0974-8024.1423","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1423","url":null,"abstract":"Estimation of parameters of Poisson Nadarajah-Haghighi (PNH) distribution from the frequentist and Bayesian point of view is discussed in this article. To this end, we briefly described ten different frequentist approaches, namely, the maximum likelihood estimators, percentile based estimators, least squares estimators, weighted least squares estimators, maximum product of spacings estimators, minimum spacing absolute distance estimators, minimum spacing absolute-log distance estimators, Cramér-von Mises estimators, Anderson-Darling estimators and right-tail Anderson-Darling estimators. To assess the performance of different estimators, Monte Carlo simulations are done for small and large samples. The performance of the estimators is compared in terms of their bias, root mean squares error, average absolute difference between the true and estimated distribution functions, and the maximum absolute difference between the true and estimated distribution functions of the estimates using simulated data. For the Bayesian inference of the unknown parameters, we use Metropolis–Hastings (MH) algorithm to calculate the Bayes estimates and the corresponding credible intervals. Results from the simulation study suggests that among the considered classical methods of estimation, weighted least squares and the maximum product spacing estimators uniformly produces the least biases of the estimates with least root mean square errors. However, Bayes estimates perform better than all other estimates. Finally, we discuss a practical data set to show the application of the distribution.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43248039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method 用变换法估计一类寿命分布的R=Pr(Y>X)
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-08-23 DOI: 10.13052/JRSS0974-8024.1422
Surinder Kumar, P. Gautam
{"title":"Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method","authors":"Surinder Kumar, P. Gautam","doi":"10.13052/JRSS0974-8024.1422","DOIUrl":"https://doi.org/10.13052/JRSS0974-8024.1422","url":null,"abstract":"For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43713318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PCM Transformation: Properties and Their Estimation PCM变换的性质及其估计
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-07-10 DOI: 10.13052/JRSS0974-8024.1421
D. Kumar, Priyesh Kumar, Pradip Kumar, S. Singh, U. Singh
{"title":"PCM Transformation: Properties and Their Estimation","authors":"D. Kumar, Priyesh Kumar, Pradip Kumar, S. Singh, U. Singh","doi":"10.13052/JRSS0974-8024.1421","DOIUrl":"https://doi.org/10.13052/JRSS0974-8024.1421","url":null,"abstract":"In the present piece of work, we are going to propose a new trigonometry based transformation called PCM transformation. We have been obtained its various statistical properties such as survival function, hazard rate function, reverse-hazard rate function, moment generating function, median, stochastic ordering etc. Maximum Likelihood Estimator (MLE) method under classical approach and Bayesian approaches are tackled to obtain the estimate of unknown parameter. A real dataset has been applied to check its fitness on the basis of fitting criterions Akaike Information criterion (AIC), Bayesian Information criterion (BIC), log-likelihood (-LL) and Kolmogrov-Smirnov (KS) test statistic values in real sense. A simulation study is also being conducted to assess the estimator’s long-term attitude and compared over some chosen distributions.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41787805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Reliability Test Plan for an Extended Birnbaum-Saunders Distribution 扩展Birnbaum-Saunders分布的可靠性测试计划
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-06-30 DOI: 10.13052/jrss0974-8024.14117
Jiju Gillariose, Lishamol Tomy
{"title":"Reliability Test Plan for an Extended Birnbaum-Saunders Distribution","authors":"Jiju Gillariose, Lishamol Tomy","doi":"10.13052/jrss0974-8024.14117","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.14117","url":null,"abstract":"Birnbaum-Saunders distribution has been widely studied in statistical literature because this distribution accommodates several interesting properties. The purpose of this paper is to introduce a new parametric distribution based on the Birnbaum-Saunders model and develop a new acceptance sampling plans for derived extended Birnbaum-Saunders distribution when the mean lifetime test is truncated at a predetermined time. For various acceptance numbers, confidence levels and values of the ratio of the fixed experimental time to the specified mean life, the minimum sample size necessary to assure a specified mean lifetime worked out. The results are illustrated by a numerical example. The operating characteristic functions of the sampling plans and producer’s risk and the ratio of true mean life to a specified mean life that ensures acceptance with a pre-assigned probability are tabulated. This paper presents relevant characteristics of the new distribution and a new acceptance sampling plans when the lifetime of a product adopts an extended Birnbaum-Saunders distribution. Based on this study, the optimal number of testers demanded is decreases as test termination time increases. Moreover, the operating characteristic values increases as the mean life ratio increases, which indicate that items with increased mean life will be accepted with higher probability compared with items with lower mean life ratio.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41923634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A Comparative Study for Weighted Rayleigh Distribution 加权瑞利分布的比较研究
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-06-21 DOI: 10.13052/jrss0974-8024.14112
Sofi Mudasir Ahad, Sheikh Parvaiz Ahmad, Sheikh Aasimeh Rehman
{"title":"A Comparative Study for Weighted Rayleigh Distribution","authors":"Sofi Mudasir Ahad, Sheikh Parvaiz Ahmad, Sheikh Aasimeh Rehman","doi":"10.13052/jrss0974-8024.14112","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.14112","url":null,"abstract":"In this paper, Bayesian and non-Bayesian methods are used for parameter estimation of weighted Rayleigh (WR) distribution. Posterior distributions are derived under the assumption of informative and non-informative priors. The Bayes estimators and associated risks are obtained under different symmetric and asymmetric loss functions. Results are compared on the basis of posterior risk and mean square error using simulated and real life data sets. The study depicts that in order to estimate the scale parameter of the weighted Rayleigh distribution use of entropy loss function under Gumbel type II prior can be preferred. Also, Bayesian method of estimation having least values of mean squared error gives better results as compared to maximum likelihood method of estimation.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42347021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Alpha Power Lomax Distribution: Properties and Application Alpha Power Lomax分布:性质与应用
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-03-08 DOI: 10.13052/JRSS0974-8024.1412
Y. M. Bulut, F. Z. Doğru, O. Arslan
{"title":"Alpha Power Lomax Distribution: Properties and Application","authors":"Y. M. Bulut, F. Z. Doğru, O. Arslan","doi":"10.13052/JRSS0974-8024.1412","DOIUrl":"https://doi.org/10.13052/JRSS0974-8024.1412","url":null,"abstract":"This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48048290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
A Study On Reliability Using Pendant, Hexant, Octant Fuzzy Numbers 用悬垂、六分、八分模糊数研究可靠性
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-01-01 DOI: 10.13052/jrss0974-8024.1426
P. Varghese, G. M. Rosario
{"title":"A Study On Reliability Using Pendant, Hexant, Octant Fuzzy Numbers","authors":"P. Varghese, G. M. Rosario","doi":"10.13052/jrss0974-8024.1426","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1426","url":null,"abstract":"The weaving machine’s reliability is assessed using newly introduced fuzzy numbers. The fuzzy numbers introduced in this study give a better method to improve the reliability than other techniques. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number are all introduced in this present study. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number,α-cuts are defined, as well as their mathematical operations. The numerical examples are utilised to conduct a comparative research of reliability using various Fuzzy Numbers, and their defuzzification is accomplished using various ways such as Signed Distance method, Graded Mean Integration Method and Centroid Method. The purpose of this study is to discover the most reliable value for a weaving machine.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66117022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Naive Regression Growth Models for Prediction of Peppermint Yield Production 薄荷产量预测的朴素回归增长模型
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-01-01 DOI: 10.13052/jrss0974-8024.1424
S. K. Yadav, Dinesh K. Sharma, Ayodele Alade, A. Shukla
{"title":"Naive Regression Growth Models for Prediction of Peppermint Yield Production","authors":"S. K. Yadav, Dinesh K. Sharma, Ayodele Alade, A. Shukla","doi":"10.13052/jrss0974-8024.1424","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1424","url":null,"abstract":"In this study, three novel regression models are introduced for estimating and forecasting peppermint yield production. Several indices of the goodness of fit are used to assess the quality of the suggested models. The proposed models for yield production are compared to current regression models that are well-known. Primary data from the Banki block of the Barabanki District of Uttar Pradesh State in India was used to validate the efficiency conditions for the suggested models to outperform the competition models. The empirical results suggest that the proposed models for estimating and predicting peppermint yield production are more efficient than competing estimators.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66116516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Modified Mixed Exponentially Weighted Moving Average-Cumulative Sum Control Charts for Autocorrelated Process 自相关过程的改进混合指数加权移动平均-累积和控制图
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-01-01 DOI: 10.13052/jrss0974-8024.1425
Dushyant Tyagi, Vipin Yadav
{"title":"The Modified Mixed Exponentially Weighted Moving Average-Cumulative Sum Control Charts for Autocorrelated Process","authors":"Dushyant Tyagi, Vipin Yadav","doi":"10.13052/jrss0974-8024.1425","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1425","url":null,"abstract":"Statistical Process Control (SPC) is an efficient methodology for monitoring, managing, analysing and recuperating process performance. Implementation of SPC in industries results in biggest benefits, as enhanced quality products and reduced process variation. While dealing with the theory of control chart we generally move with the assumption of independent process observation. But in practice usually, for most of the processes the observations are autocorrelated which degrades the ability of control chart application. The loss caused by autocorrelation can be obliterated by making modifications in the traditional control charts. The article presented here refers to a combination of EWMA and CUSUM charting techniques supplementing modifications in the control limits. The performance of the referred scheme is measured by comparing average run length (ARL) with existing control charts. Also, the referred scheme is found reasonably well for detecting particularly smaller displacements in the process.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66116965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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