Complete asymptotic expansions related to the probability density function of the χ2-distribution

DOI10.2298/AADM210720015CzbMath1499.62078OpenAlexW4226253153MaRDI QIDQ5866255

Chao-Ping Chen, Hari M. Srivastava

Publication date: 13 June 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm210720015c

zbMATH Keywords

gamma functionasymptotic expansionprobability density functionBernoulli numbersBell polynomials\(\chi^2\)-distribution

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New identities for the partial Bell polynomials
• Efficient computation of Ihara coefficients using the Bell polynomial recursion
• Complete asymptotic expansions for the density function of \(t\)-distribution
• The special functions and their approximations. Vol. I, II
• Exact bounds on the closeness between the Student and standard normal distributions
• A Useful Convergence Theorem for Probability Distributions

This page was built for publication: Complete asymptotic expansions related to the probability density function of the χ2-distribution