On the equivalence of some test criteria based on BAN estimators for the multivariate exponential family

DOI10.1016/0378-3758(82)90031-3zbMath0503.62044OpenAlexW2027146167MaRDI QIDQ1173359

Kerry G. Bemis, Vasant P. Bhapkar

Publication date: 1982

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(82)90031-3

zbMATH Keywords

maximum likelihood estimatesWald statisticmultivariate exponential familyBAN estimatorsequivalence of test criteriageneral chi-squared criteriongeneral minimum modified chi-squared statisticmultinomial familymultivariate symmetric power series distributionRao test criterion

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15)

Related Items (1)

Ban Estimation for Chi-Square Test Criteria in Categorical Data

Cites Work

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• On the Theory of Ban Estimates
• A Method of Generating Best Asymptotically Normal Estimates with Application to the Estimation of Bacterial Densities
• The Equivalence of Generalized Least Squares and Maximum Likelihood Estimates in the Exponential Family
• On least squares estimation for categorical data
• A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data
• Quadratic Forms and Idempotent Matrices with Random Elements
• Consistency and Asymptotic Normality of MLE's for Exponential Models

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