Partial sequential testing for comparing two univariate normal distributions

This article provides a two-stage procedure to develop a partial sequential test procedure for both the location and scale parameters of a normal distribution. The first stage is taken to be of a fixed sample size. The stopping rule is obtained by adopting a two-stage procedure on the number of inde...

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Bibliographic Details
Published inSequential analysis Vol. 44; no. 1; pp. 111 - 133
Main Authors Basak, Sancharee, Bandyopadhyay, Uttam, Biswas, Atanu
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.01.2025
Taylor & Francis Ltd
Subjects
62L15
Ansari-Bradley test
Asymptotic methods
inverse sampling
Lepage's test
Normal distribution
stopping rule
two-stage procedure
univariate normal distribution
Wilcoxon-Mann-Whitney test
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Summary:This article provides a two-stage procedure to develop a partial sequential test procedure for both the location and scale parameters of a normal distribution. The first stage is taken to be of a fixed sample size. The stopping rule is obtained by adopting a two-stage procedure on the number of index subjects using an inverse sampling scheme in the second stage. Different asymptotic results associated with the procedure are obtained. The findings are supported by detailed simulation studies followed by three data illustrations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0747-4946
1532-4176
DOI:10.1080/07474946.2024.2443405