Pub Date : 2023-01-01DOI: 10.1007/s42519-023-00324-9
Eda Gizem Koçyiğit, Khalid Ul Islam Rather
In this study, a new sub-regression type estimator for ranked set sampling (RSS) is proposed based on the idea of a sub-ratio estimator given in Koçyiğit and Kadılar (Commun Stat Theory Methods 1-23, 2022). The proposed unbiased estimator's mean square error is obtained and compared theoretically with other estimators. The theoretical results have been supported by the different simulations and real-life data sets studies and have shown that the proposed estimator is more effective than the estimators in the literature. It is also seen that the number of repetitions in the RSS affected the effectiveness of the sub-estimators.
在本研究中，基于Koçyiğit和Kadılar (common Stat Theory Methods 1- 23,2022)中给出的子比率估计器的思想，提出了一种新的排序集抽样(RSS)的子回归型估计器。得到了无偏估计量的均方误差，并与其他估计量进行了理论比较。理论结果得到了不同模拟和实际数据集研究的支持，并表明所提出的估计器比文献中的估计器更有效。还可以看出，RSS中的重复次数影响了子估计器的有效性。
{"title":"The New Sub-regression Type Estimator in Ranked Set Sampling.","authors":"Eda Gizem Koçyiğit, Khalid Ul Islam Rather","doi":"10.1007/s42519-023-00324-9","DOIUrl":"https://doi.org/10.1007/s42519-023-00324-9","url":null,"abstract":"<p><p>In this study, a new sub-regression type estimator for ranked set sampling (RSS) is proposed based on the idea of a sub-ratio estimator given in Koçyiğit and Kadılar (Commun Stat Theory Methods 1-23, 2022). The proposed unbiased estimator's mean square error is obtained and compared theoretically with other estimators. The theoretical results have been supported by the different simulations and real-life data sets studies and have shown that the proposed estimator is more effective than the estimators in the literature. It is also seen that the number of repetitions in the RSS affected the effectiveness of the sub-estimators.</p>","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":"17 2","pages":"27"},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9974047/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9442109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.1007/s42519-022-00305-4
Dasom Lee, Sujit Ghosh
In many clinical trials, patient outcomes are often binary-valued which are measured asynchronously over time across various dose levels. To account for autocorrelation among such longitudinally observed outcomes, a first-order Markov model for binary data is developed. Moreover, to account for the asynchronously observed time points, nonhomogeneous models for the transition probabilities are proposed. The transition probabilities are modeled using B-spline basis functions after suitable transformations. Additionally, if the underlying dose-response curve is assumed to be non-decreasing, our model allows for the estimation of any underlying non-decreasing curve based on suitably constructed prior distributions. We also extended our model to the mixed effect model to incorporate individual-specific random effects. Numerical comparisons with traditional models are provided based on simulated data sets, and also practical applications are illustrated using real data sets.
{"title":"Bayesian Analysis of First-Order Markov Models for Autocorrelated Binary Responses.","authors":"Dasom Lee, Sujit Ghosh","doi":"10.1007/s42519-022-00305-4","DOIUrl":"https://doi.org/10.1007/s42519-022-00305-4","url":null,"abstract":"<p><p>In many clinical trials, patient outcomes are often binary-valued which are measured asynchronously over time across various dose levels. To account for autocorrelation among such longitudinally observed outcomes, a first-order Markov model for binary data is developed. Moreover, to account for the asynchronously observed time points, nonhomogeneous models for the transition probabilities are proposed. The transition probabilities are modeled using B-spline basis functions after suitable transformations. Additionally, if the underlying dose-response curve is assumed to be non-decreasing, our model allows for the estimation of any underlying non-decreasing curve based on suitably constructed prior distributions. We also extended our model to the mixed effect model to incorporate individual-specific random effects. Numerical comparisons with traditional models are provided based on simulated data sets, and also practical applications are illustrated using real data sets.</p>","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":"17 1","pages":"9"},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9797254/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10480610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, stein-type two-stage sampling procedure is carried out for fixed accuracy confidence interval estimation of the common variance ( ) parameter corresponding to multivariate normal distribution with autoregressive covariance structure of order 1. Related asymptotics are obtained and simulation results are presented.
{"title":"On Fixed Accuracy Confidence Interval in Multivariate Normal Distribution with Order 1 Autoregressive Covariance Structure.","authors":"Pritam Sarkar, Uttam Bandyopadhyay, Rahul Bhattacharya","doi":"10.1007/s42519-022-00310-7","DOIUrl":"https://doi.org/10.1007/s42519-022-00310-7","url":null,"abstract":"<p><p>In this paper, stein-type two-stage sampling procedure is carried out for fixed accuracy confidence interval estimation of the common variance ( <math><msup><mi>σ</mi> <mn>2</mn></msup> </math> ) parameter corresponding to multivariate normal distribution with autoregressive covariance structure of order 1. Related asymptotics are obtained and simulation results are presented.</p>","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":"17 1","pages":"13"},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9735063/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10401552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-20DOI: 10.1007/s42519-022-00314-3
N. Balakrishnan, C. Charalambides, T. Christofides, M. Koutras, S. Meintanis
{"title":"Preface to a Special Issue in Memory of Professor Theophilos Cacoullos","authors":"N. Balakrishnan, C. Charalambides, T. Christofides, M. Koutras, S. Meintanis","doi":"10.1007/s42519-022-00314-3","DOIUrl":"https://doi.org/10.1007/s42519-022-00314-3","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45072875","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}
Pub Date : 2022-12-16DOI: 10.1007/s42519-022-00313-4
Ayan Pal, D. Samanta, D. Kundu
{"title":"Cure Rate-Based Step-Stress Model","authors":"Ayan Pal, D. Samanta, D. Kundu","doi":"10.1007/s42519-022-00313-4","DOIUrl":"https://doi.org/10.1007/s42519-022-00313-4","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47320296","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}
Pub Date : 2022-12-08DOI: 10.1007/s42519-022-00311-6
Ying Zhou, Liang Wang, Y. Lio, S. Dey
{"title":"Inference of Competing Risks Model with Partially Observed Failure Causes Based on Minimum Ranked Set Sampling","authors":"Ying Zhou, Liang Wang, Y. Lio, S. Dey","doi":"10.1007/s42519-022-00311-6","DOIUrl":"https://doi.org/10.1007/s42519-022-00311-6","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49125835","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}
Pub Date : 2022-11-28DOI: 10.1007/s42519-022-00309-0
Suthakaran Ratnasingam, Wei Ning
{"title":"Change Point Detection in Linear Failure Rate Distribution Under Random Censorship","authors":"Suthakaran Ratnasingam, Wei Ning","doi":"10.1007/s42519-022-00309-0","DOIUrl":"https://doi.org/10.1007/s42519-022-00309-0","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47596596","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}
Pub Date : 2022-11-28DOI: 10.1007/s42519-022-00303-6
Ahlam Guiatni, H. Hilow
{"title":"Minimum Cost Trend-Free 2n−(n−k) Fractional Factorial Designs of Resolution IV Derivable from the Normalized Sylvester-Hadamard Matrices","authors":"Ahlam Guiatni, H. Hilow","doi":"10.1007/s42519-022-00303-6","DOIUrl":"https://doi.org/10.1007/s42519-022-00303-6","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47037397","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}
Pub Date : 2022-11-23DOI: 10.1007/s42519-022-00298-0
Mohamed S. Abdallah
{"title":"Quantile Estimation in Modified Ranked Set Sampling Methods","authors":"Mohamed S. Abdallah","doi":"10.1007/s42519-022-00298-0","DOIUrl":"https://doi.org/10.1007/s42519-022-00298-0","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49532313","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}
Pub Date : 2022-11-23DOI: 10.1007/s42519-022-00306-3
B. Ghanbari, E. Shirazi
{"title":"Wavelet Estimation of Copula Density via Thresholding Methods Under Censoring","authors":"B. Ghanbari, E. Shirazi","doi":"10.1007/s42519-022-00306-3","DOIUrl":"https://doi.org/10.1007/s42519-022-00306-3","url":null,"abstract":"","PeriodicalId":45853,"journal":{"name":"Journal of Statistical Theory and Practice","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44148724","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}
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