\(f\)-dissimilarity of several distributions in testing statistical hypotheses
type: Item
instance of: scholarly article
title: \(f\)-dissimilarity of several distributions in testing statistical hypotheses
zbMATH Open document ID: 0923.62027
DOI: 10.1023/A:1003443215838
author: K. Appert
published in: Annals of the Institute of Statistical Mathematics
publication date: 1999-10-31T00:00:00Z
review text: The author gives an approach for testing statistical hypotheses, using a general class of dissimilarity measures among \(k\geq 2\) distributions. The test statistics are obtained by the replacement, in the expression of the dissimilarity measure, of the unknown parameters by their maximum likelihood estimators. The asymptotic distributions of the resulting test statistics are investigated and the results are applied to multinomial and multivariate normal populations.
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 1202959
zbMATH Keywords: \(f\)-dissimilarity statistics
reviewed by: Kôichi Inada
MaRDI profile type: Publication
full work available at URL: a:1003443215838
OpenAlex ID: W2048432772
Recommended article: Q3542602
Recommended article: A Class of Tests for the Dispersive-Equivalence of two Probability Distributions
Recommended article: Dispersive comparison of distributions: A multisample testing problem
Recommended article: Tests for dispersive comparison of two distributions
Recommended article: Testing for Homogeneity of Multivariate Dispersions Using Dissimilarity Measures
description: scientific article; zbMATH DE number 1202959