{"title":"A note on the simultaneous confidence intervals for the successive differences of exponential location parameters under heteroscedasticity","authors":"Mahmood Kharrati-Kopaei","doi":"10.1016/j.stamet.2014.06.001","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a lemma is presented and then it is used to construct simultaneous confidence intervals (SCIs) for the differences of location parameters of successive exponential distributions<span> in the unbalanced case under heteroscedasticity<span>. A simulation study based comparison of our SCIs with two recently proposed procedures in terms of coverage probability<span> and average volume revealed that the proposed method can be recommended for small and moderate sample sizes.</span></span></span></p></div>","PeriodicalId":48877,"journal":{"name":"Statistical Methodology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.stamet.2014.06.001","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistical Methodology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S157231271400046X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 10
Abstract
In this paper, a lemma is presented and then it is used to construct simultaneous confidence intervals (SCIs) for the differences of location parameters of successive exponential distributions in the unbalanced case under heteroscedasticity. A simulation study based comparison of our SCIs with two recently proposed procedures in terms of coverage probability and average volume revealed that the proposed method can be recommended for small and moderate sample sizes.
期刊介绍：
Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.
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