On the uniform convergence of normalized Poisson mixtures to their mixing distribution

DOI10.1016/0167-7152(93)90221-4zbMath0788.60036OpenAlexW2068524497MaRDI QIDQ1314713

José A. Adell, Jesús De La Cal

Publication date: 27 March 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90221-4

zbMATH Keywords

Laplace transformsrates of convergenceorder of convergencePoisson mixtures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Laplace transform (44A10) Rate of convergence, degree of approximation (41A25)

Related Items (4)

A Berry-Esseen theorem for Pitman's \(\alpha\)-diversity ⋮ Uniform error bounds for a continuous approximation of non-negative random variables ⋮ Some results for moment-empirical cumulative distribution functions ⋮ Error bounds in approximations of random sums using gamma-type operators

Cites Work

• Approximation-theoretic aspects of probabilistic representations for operator semigroups
• Moment matrices: Applications in mixtures
• Mixtures of distributions, moment inequalities and measures of exponentiality and normality
• On measures of the distance of a mixture from its parent distribution
• Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution
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