Testing normality of a large number of populations

This paper studies the problem of simultaneously testing that each of k independent samples come from a normal population. The means and variances of those populations may differ. The proposed procedures are based on the BHEP test and they allow k to increase, which can be even larger than the sampl...

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Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2024-02, Vol.65 (1), p.435-465
Main Author: Jiménez-Gamero, M. D.
Format: Article
Language:English
Subjects:
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Equality
Finance
Independent sample
Insurance
Management
Mathematics and Statistics
Operations Research/Decision Theory
Populations
Probability Theory and Stochastic Processes
Random variables
Regular Article
Sample size
Statistics
Statistics for Business
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Summary:This paper studies the problem of simultaneously testing that each of k independent samples come from a normal population. The means and variances of those populations may differ. The proposed procedures are based on the BHEP test and they allow k to increase, which can be even larger than the sample sizes.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-022-01384-y