Signed binomial approximation of binomial mixtures via differential calculus for linear opera\-tors

DOI10.1016/j.jspi.2007.11.018zbMath1169.62006OpenAlexW2137918622MaRDI QIDQ951024

José M. Anoz, José A. Adell

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.11.018

zbMATH Keywords

signed measureKrawtchouk polynomialstotal variation distancebinomial approximationbinomial mixture

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Stochastic processes (60G99) Approximations to statistical distributions (nonasymptotic) (62E17)

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Acceleration methods for series: a probabilistic perspective ⋮ Negative dependence and stochastic orderings ⋮ On Stein's method, smoothing estimates in total variation distance and mixture distributions ⋮ Note on two extensions of the classical formula for sums of powers on arithmetic progressions ⋮ Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions

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