On disparity based goodness-of-fit tests for multinomial models

DOI10.1016/0167-7152(94)90181-3zbMath0791.62047OpenAlexW2060393291MaRDI QIDQ1324551

Sahadeb Sarkar, Ayanendranath Basu

Publication date: 20 July 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90181-3

zbMATH Keywords

Hellinger distancemultinomial modelsminimum disparity estimationbest asymptotically normal estimatorPearson's chi-squareasymptotic chi-squareblended weight Hellinger distanceblended weight chi-squaredisparity testsgeneral class of goodness-of-fit testslog likelihood ratio testspower weighted divergence statisticssimple and composite null hypotheses

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items (12)

Small sample comparisons for the blended weight chi-square goodness-of-fit test statistics ⋮ Minimum negative exponential disparity estimation in parametric models ⋮ Minimum \(\phi\)-divergence estimation in misspecified multinomial models ⋮ Robust Statistical Engineering by Means of Scaled Bregman Distances ⋮ Multinomial goodness-of-fit tests under inlier modification ⋮ Minimum \(K_\phi\)-divergence estimators for multinomial models and applications ⋮ Disparity based goodness-of-fit tests for and against order restrictions for multinomial models ⋮ Model selection based on penalized \(\phi \)-divergences for multinomial data ⋮ Small-sample comparisons for the Rukhin goodness-of-fit-statistics ⋮ Equivalence tests for multinomial data based on \(\phi\)-divergences ⋮ Negative exponential disparity based family of goodness-of-fit tests for multinomial models ⋮ The residual adjustment function and weighted likelihood: a graphical interpretation of robustness of minimum disparity estimators.

Cites Work

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• Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics
• An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
• A Comparison of the X 2 , -2 \Log R, and Multinomial Probability Criteria for Significance Tests when Expected Frequencies Are Small
• Asymptotically Optimal Tests for Multinomial Distributions
• A comparison of the chi²and likelihood ratio tests for composite alternatives1
• A New Proof of the Pearson-Fisher Theorem
• The $\chi^2$ Test of Goodness of Fit

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