Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribu\-tion

DOI10.32917/hmj/1237392382zbMath1165.62011OpenAlexW1571050013WikidataQ128870014 ScholiaQ128870014MaRDI QIDQ1026934

Vladimir V. Ulyanov, Vasily N. Zubov

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.32917/hmj/1237392382

zbMATH Keywords

weak convergencemanifoldsGaussian curvaturepower divergence family of statisticsapproximation by chi-squared distributionsHlawka's theorem

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Classical differential geometry (53A99)

Related Items (8)

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 ⋮ On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data ⋮ Unnamed Item ⋮ A precise local limit theorem for the multinomial distribution and some applications

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