Closer asymptotic approximations for the distributions of the power divergence goodness-of-fit statistics
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Publication:760107
zbMath0554.62015MaRDI QIDQ760107
Publication date: 1984
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
asymptotic expansionEdgeworth expansionPearson chi-squarelog-likelihood ratio statisticspeed of convergencechi-square statisticpower divergence family of statisticssecond order limit distribution
Related Items (21)
Improvement of the test of independence among groups of factors in a multi-way contingency table ⋮ Small sample comparisons for the blended weight chi-square goodness-of-fit test statistics ⋮ Improvements of goodness-of-fit statistics for sparse multinomials based on normalizing trans\-for\-mations ⋮ Family of power divergence spatial scan statistics ⋮ Bounds for the chi-square approximation of the power divergence family of statistics ⋮ Improvement of approximations for the distributions of multinomial goodness-of-fit statistics under nonlocal alternatives ⋮ Information Measures in Biostatistics and Reliability Engineering ⋮ Transformed goodness-of-fit statistics for a generalized linear model of binary data ⋮ Transformed statistics for tests of conditional independence in \(J \times K \times L\) contingency tables ⋮ Improved bounds in Stein's method for functions of multivariate normal random vectors ⋮ Unnamed Item ⋮ Multinomial goodness-of-fit tests under inlier modification ⋮ On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data ⋮ Improved transformed statistics for the test of independence in \(r\times s\) contingency tables ⋮ A precise local limit theorem for the multinomial distribution and some applications ⋮ Asymptotic approximations for the distributions of the multinomial goodness-of-fit statistics under local alternatives ⋮ Improved transformed deviance statistic for testing a logistic regression model ⋮ Approximations of the Distributions of Test Statistics for Homogeneity of a Product Multinomial Model ⋮ Closer asymptotic approximations for the distributions of the power divergence goodness-of-fit statistics ⋮ Unnamed Item ⋮ Restricted recalibration of item response theory models
Cites Work
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- Closer asymptotic approximations for the distributions of the power divergence goodness-of-fit statistics
- Asymptotic approximations for the distributions of multinomial goodness- of-fit statistics
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- On the central limit theorem in 𝑅_{𝑘}
- Asymptotic Approximations for the Probability that a Sum of Lattice Random Vectors Lies in a Convex Set
- On the Chi-Square Distribution for Small Samples
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