Saddlepoint approximations for the sum of independent non-identically distributed binomial random variables

DOI10.1111/STAN.12002zbMATH Open1541.62046MaRDI QIDQ6552754

Ben Pelzer, Rob Eisinga, Manfred te Grotenhuis

Publication date: 10 June 2024

Published in: Statistica Neerlandica (Search for Journal in Brave)

zbMATH Keywords

saddlepoint approximationsum of non-identical binomial variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• A unified approximation scheme for the convolution of independent binomial variables
• Some stochastic models leading to the convolution of two binomial variables
• On the exact convolution of discrete random variables
• An improved saddlepoint approximation
• Effects of False and Incomplete Identification of Defective Items on the Reliability of Acceptance Sampling
• Saddlepoint Approximations with Applications
• Saddle point approximation for the distribution of the sum of independent random variables
• The higher order large-deviation approximation for the distribution of the sum of independent discreterandom variables
• Weighted finite population sampling to maximize entropy
• Tail Probability Approximations
• A HIGHER ORDER LARGE-DEVIATION APPROXIMATION FOR THE DISCRETE DISTRIBUTIONS
• Univariate Discrete Distributions
• Intermediate Probability
• Saddlepoint Approximations in Statistics
• Saddlepoint approximations to the mean and variance of the extended hypergeometric distribution

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