Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution

DOI10.1137/S0040585X97978750zbMath0994.62006OpenAlexW2089103828MaRDI QIDQ4328526

Bero Roos

Publication date: 25 April 2002

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97978750

zbMATH Keywords

total variation normsigned measuresgeneralized multinomial distributionmultinomial approximation\(\ell_\infty\)-normmultivariate Krawtchouk expansion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (6)

Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors ⋮ Closeness of convolutions of probability measures ⋮ Compound Poisson approximations for symmetric vectors ⋮ An expansion in the exponent for compound binomial approximations ⋮ On Bobkov’s approximate de Finetti representation via approximation of permanents of complex rectangular matrices ⋮ Compound binomial approximations

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