Inequalities for noncentral chi-square distributions
type: Item
instance of: scholarly article
title: Inequalities for noncentral chi-square distributions
zbMATH Open document ID: 0695.60023
DOI: 10.1016/0167-7152(90)90067-H
author: Wilbert C. M. Kallenberg
published in: Statistics \& Probability Letters
publication date: 1990-01-01T00:00:00Z
review text: An upper and lower bound are presented for the difference between the distribution functions of non-central chi-square variables with the same degrees of freedom and different non-centralities. The inequalities are applied in a comparison of two approximations to the power of Pearson's chi-square test.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62F05
zbMATH DE Number: 4138846
zbMATH Keywords: contamination family
zbMATH Keywords: exponential family
zbMATH Keywords: non-central chi-square variables
zbMATH Keywords: Pearson's chi-square test
MaRDI profile type: Publication
cites work: Non-Local Asymptotic Optimality of Appropriate Likelihood Ratio Tests
cites work: Power Approximations to Multinomial Tests of Fit
cites work: Q3851441
cites work: The Number of Classes in Chi-Squared Goodness-of-Fit Tests
cites work: Large deviations of estimators
cites work: Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
cites work: Q3857500
full work available at URL: 0167-7152(90)90067-h
OpenAlex ID: W2103525906
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description: scientific article; zbMATH DE number 4138846