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Constrained Bayesian method for testing composite hypotheses concerning normal distribution with equal parameters 测试等参数正态分布复合假设的约束贝叶斯方法
Sequential Analysis Pub Date : 2024-05-16 DOI: 10.1080/07474946.2024.2326222
K. J. Kachiashvili, N. Mukhopadhyay, J. K. Kachiashvili
{"title":"Constrained Bayesian method for testing composite hypotheses concerning normal distribution with equal parameters","authors":"K. J. Kachiashvili, N. Mukhopadhyay, J. K. Kachiashvili","doi":"10.1080/07474946.2024.2326222","DOIUrl":"https://doi.org/10.1080/07474946.2024.2326222","url":null,"abstract":"","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"51 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140970584","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
Sequential estimation for the multiple linear regression models with balanced loss functions 利用平衡损失函数对多元线性回归模型进行序列估计
Sequential Analysis Pub Date : 2024-05-16 DOI: 10.1080/07474946.2024.2329145
R. Sengupta, Sudeep R. Bapat, Neeraj Joshi
{"title":"Sequential estimation for the multiple linear regression models with balanced loss functions","authors":"R. Sengupta, Sudeep R. Bapat, Neeraj Joshi","doi":"10.1080/07474946.2024.2329145","DOIUrl":"https://doi.org/10.1080/07474946.2024.2329145","url":null,"abstract":"","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"22 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140967678","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
A two armed optimal response adaptive randomization for ordinal categorical responses with possible misclassification 针对可能存在分类错误的序数分类反应的双臂最佳反应自适应随机化
Sequential Analysis Pub Date : 2024-02-06 DOI: 10.1080/07474946.2023.2295264
Soumyadeep Das
{"title":"A two armed optimal response adaptive randomization for ordinal categorical responses with possible misclassification","authors":"Soumyadeep Das","doi":"10.1080/07474946.2023.2295264","DOIUrl":"https://doi.org/10.1080/07474946.2023.2295264","url":null,"abstract":"","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"6 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139800601","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
A two armed optimal response adaptive randomization for ordinal categorical responses with possible misclassification 针对可能存在分类错误的序数分类反应的双臂最佳反应自适应随机化
Sequential Analysis Pub Date : 2024-02-06 DOI: 10.1080/07474946.2023.2295264
Soumyadeep Das
{"title":"A two armed optimal response adaptive randomization for ordinal categorical responses with possible misclassification","authors":"Soumyadeep Das","doi":"10.1080/07474946.2023.2295264","DOIUrl":"https://doi.org/10.1080/07474946.2023.2295264","url":null,"abstract":"","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"62 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139860572","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
Truncated sequential change-point detection for Markov chains with applications in the epidemic statistical analysis 马尔可夫链的截断序列变化点检测及其在流行病统计分析中的应用
Sequential Analysis Pub Date : 2024-01-10 DOI: 10.1080/07474946.2023.2285777
Evgenii A. Pchelintsev, S. Pergamenchtchikov, Roman O. Tenzin
{"title":"Truncated sequential change-point detection for Markov chains with applications in the epidemic statistical analysis","authors":"Evgenii A. Pchelintsev, S. Pergamenchtchikov, Roman O. Tenzin","doi":"10.1080/07474946.2023.2285777","DOIUrl":"https://doi.org/10.1080/07474946.2023.2285777","url":null,"abstract":"","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"4 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139458448","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
Sequential Tests of Multiple Hypotheses Controlling False Discovery and Nondiscovery Rates. 控制错误发现率和未发现率的多假设序列检验。
IF 0.8
Sequential Analysis Pub Date : 2020-01-01 Epub Date: 2020-05-13 DOI: 10.1080/07474946.2020.1726686
Jay Bartroff, Jinlin Song
{"title":"Sequential Tests of Multiple Hypotheses Controlling False Discovery and Nondiscovery Rates.","authors":"Jay Bartroff,&nbsp;Jinlin Song","doi":"10.1080/07474946.2020.1726686","DOIUrl":"https://doi.org/10.1080/07474946.2020.1726686","url":null,"abstract":"<p><p>We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions about the data streams which may differ in distribution, dimension, and be dependent. All that is needed is a test statistic for each data stream that controls its conventional type I and II error probabilities, and no information or assumptions are required about the joint distribution of the statistics or data streams. The procedure can be used with sequential, group sequential, truncated, or other sampling schemes. The procedure is a natural extension of Benjamini and Hochberg's (1995) widely-used fixed sample size procedure to the domain of sequential data, with the added benefit of simultaneous FDR and FNR control that sequential sampling affords. We prove the procedure's error control and give some tips for implementation in commonly encountered testing situations.</p>","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"39 1","pages":"65-91"},"PeriodicalIF":0.8,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/07474946.2020.1726686","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25524326","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}
引用次数: 15
Group sequential crossover trial designs with strong control of the familywise error rate. 组序交叉试验设计，具有较强的家族错误率控制。
Sequential Analysis Pub Date : 2018-10-02 eCollection Date: 2018-01-01 DOI: 10.1080/07474946.2018.1466528
Michael J Grayling, James M S Wason, Adrian P Mander
{"title":"Group sequential crossover trial designs with strong control of the familywise error rate.","authors":"Michael J Grayling, James M S Wason, Adrian P Mander","doi":"10.1080/07474946.2018.1466528","DOIUrl":"10.1080/07474946.2018.1466528","url":null,"abstract":"<p><p>Crossover designs are an extremely useful tool to investigators, and group sequential methods have proven highly proficient at improving the efficiency of parallel group trials. Yet, group sequential methods and crossover designs have rarely been paired together. One possible explanation for this could be the absence of a formal proof of how to strongly control the familywise error rate in the case when multiple comparisons will be made. Here, we provide this proof, valid for any number of initial experimental treatments and any number of stages, when results are analyzed using a linear mixed model. We then establish formulae for the expected sample size and expected number of observations of such a trial, given any choice of stopping boundaries. Finally, utilizing the four-treatment, four-period TOMADO trial as an example, we demonstrate that group sequential methods in this setting could have reduced the trials expected number of observations under the global null hypothesis by over 33%.</p>","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"37 2","pages":"174-203"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6199128/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36634614","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}
引用次数: 0
Generalized Sequential Probability Ratio Test for Separate Families of Hypotheses. 独立假设族的广义序列概率比检验。
IF 0.8
Sequential Analysis Pub Date : 2014-01-01 Epub Date: 2014-10-22 DOI: 10.1080/07474946.2014.961861
Xiaoou Li, Jingchen Liu, Zhiliang Ying
{"title":"Generalized Sequential Probability Ratio Test for Separate Families of Hypotheses.","authors":"Xiaoou Li,&nbsp;Jingchen Liu,&nbsp;Zhiliang Ying","doi":"10.1080/07474946.2014.961861","DOIUrl":"https://doi.org/10.1080/07474946.2014.961861","url":null,"abstract":"<p><p>In this paper, we consider the problem of testing two separate families of hypotheses via a generalization of the sequential probability ratio test. In particular, the generalized likelihood ratio statistic is considered and the stopping rule is the first boundary crossing of the generalized likelihood ratio statistic. We show that this sequential test is asymptotically optimal in the sense that it achieves asymptotically the shortest expected sample size as the maximal type I and type II error probabilities tend to zero.</p>","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"33 4","pages":"539-563"},"PeriodicalIF":0.8,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/07474946.2014.961861","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"34733524","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}
引用次数: 29
On an Inequality That Implies the Lower Bound Formula for the Probability of Correct Selection in the Levin-Robbins-Leu Family of Sequential Binomial Subset Selection Procedures. 序列二项子集选择过程Levin-Robbins-Leu族中正确选择概率下界公式的一个不等式
IF 0.8
Sequential Analysis Pub Date : 2013-01-01 DOI: 10.1080/07474946.2013.843321
Bruce Levin, Cheng-Shiun Leu
{"title":"On an Inequality That Implies the Lower Bound Formula for the Probability of Correct Selection in the Levin-Robbins-Leu Family of Sequential Binomial Subset Selection Procedures.","authors":"Bruce Levin,&nbsp;Cheng-Shiun Leu","doi":"10.1080/07474946.2013.843321","DOIUrl":"https://doi.org/10.1080/07474946.2013.843321","url":null,"abstract":"<p><p>We study a key inequality that implies the lower bound formula for the probability of correct selection and other selection-related events of interest in the Levin-Robbins-Leu family of sequential binomial subset selection procedures. We present a strategy for the proof of the key inequality, and a mostly-complete general proof is given. The strategy provides an entirely complete and rigorous proof of the inequality for as many as seven competing populations using computer-assisted symbolic manipulation.</p>","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"32 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/07474946.2013.843321","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"31900670","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}
引用次数: 6
Efficient Adaptive Randomization and Stopping Rules in Multi-arm Clinical Trials for Testing a New Treatment. 一种新疗法在多组临床试验中的有效自适应随机化和停止规则。
IF 0.8
Sequential Analysis Pub Date : 2012-01-01 DOI: 10.1080/07474946.2012.719433
Tze Leung Lai, Olivia Yueh-Wen Liao
{"title":"Efficient Adaptive Randomization and Stopping Rules in Multi-arm Clinical Trials for Testing a New Treatment.","authors":"Tze Leung Lai,&nbsp;Olivia Yueh-Wen Liao","doi":"10.1080/07474946.2012.719433","DOIUrl":"https://doi.org/10.1080/07474946.2012.719433","url":null,"abstract":"<p><p>Motivated by applications to confirmatory clinical trials for testing a new treatment against a placebo or active control when the new treatment has <i>k</i> possible treatment strategies (arms)-for example, <i>k</i> possible doses for a new drug-we develop an asymptotic theory for efficient outcome-adaptive randomization schemes and optimal stopping rules. Our approach consists of developing asymptotic lower bounds for the expected sample sizes from the <i>k</i> treatment arms and the control arm and using generalized sequential likelihood ratio procedures to achieve these bounds. Implementation details of our design and analysis and comparative simulation studies are also provided.</p>","PeriodicalId":516303,"journal":{"name":"Sequential Analysis","volume":"31 4","pages":"441-457"},"PeriodicalIF":0.8,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/07474946.2012.719433","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33419103","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}
引用次数: 14
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