On testing hypotheses with divergence statistics

Communications in Statistics: Theory and MethodsJan 1, 1996

On testing hypotheses with divergence statistics

Abstract

Using divergence measures based on entropy functions, a procedure to test statistical hypotheses is proposed. Replacing the parameters by suitable estimators in the expresion of the divergence measure, the test statistics are obtained. Asymptotic distributions for these statistics are given in several cases when maximum likelihood estimators are considered, so they can be used to construct confidence intervals and to test statistical hypotheses based on one or more samples. These results can also be applied to multinomial populations. Tests of goodness of fit and tests of homogeneity can be constructed.

Meet DeepDyve

Get unlimited, instant access to over 150 million full-text scientific articles for less than the price of buying a single PDF.

150M+Research Papers

35M+Full-Text Streaming Papers

25M+Open Access Papers

$2/dayStarting Price

DeepDyve Collection

Access top-tier journals without the top-tier price. We partner directly with the world’s leading academic publishers to bring you legally compliant, instant access. Read the latest findings from Springer, Wiley, Oxford University Press, and more—all in one subscription.

Browse our collection of titles from leading publishers

AI Research Assistant

Accelerate your research with our advanced AI tools. Chat directly with your uploaded papers, and DeepDyve’s 50M+ LitStream and OA collections of full-text papers. AI responses come directly from the literature, footnoted and sourced, to provide the most authoritative and verifiable responses. AI outputs powered by OpenAI and Anthropic Claude. AI Smart Folders (coming soon)

Stop wasting time on paywalls, pirated sites and scattered journal portals

Streamline your research workflow with DeepDyve's comprehensive literature management solution for less than the price of buying a single PDF.

Try 1 month for $0