On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data

DOI10.1134/S0037446611040021zbMath1232.62039MaRDI QIDQ642068

Zh. A. Asylbekov, Vladimir V. Ulyanov, Vasily N. Zubov

Publication date: 25 October 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integer pointsaccuracy of \(\chi ^{2}\) approximationHuxley theorempower divergence family

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (6)

Bounds for the chi-square approximation of the power divergence family of statistics ⋮ Inference via randomized test statistics ⋮ Bounds for the chi-square approximation of Friedman's statistic by Stein's method ⋮ Improved bounds in Stein's method for functions of multivariate normal random vectors ⋮ Unnamed Item ⋮ Unnamed Item

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
• Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribu\-tion
• Lattice point problems and values of quadratic forms
• Exponential Sums and Lattice Points II
• Exponential Sums and Lattice Points III
• Asymptotic Approximations for the Probability that a Sum of Lattice Random Vectors Lies in a Convex Set

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