A Moment Preserving Finitization Across the Power Series Family of Probability Distributions

DOI10.1080/03610926.2010.529536zbMath1241.60008OpenAlexW2195688675MaRDI QIDQ2884867

James J. Cochran, Martin S. Levy, Saeed Golnabi

Publication date: 18 May 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2010.529536

zbMATH Keywords

momentsPoisson distributionTaylor series expansionfinitizationpower series family of distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Matching the finitized Poisson distribution to the matching distributions ⋮ Application of finitized power series distributions to accelerated variate generation. Part II: the case of the logarithmic distribution ⋮ Application of finitized power series distributions to accelerate variate generation. Part I: two useful algorithms

Uses Software

• Mathematica

Cites Work

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• Matching the finitized Poisson distribution to the matching distributions
• Finitizing power series distributions
• A generalization of the matching distribution
• Efficient Generation of Logarithmically Distributed Pseudo-Random Variables
• Univariate Discrete Distributions

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