On the accuracy of approximation of the negative binomial distribution by the gamma distribution and convergence rate of the distributions of some statistics to the Student distribution

DOI10.1007/s10958-015-2227-6zbMath1353.62024OpenAlexW2057513503MaRDI QIDQ493858

Yong-Cai Geng, Sumit K. Garg

Publication date: 4 September 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2227-6

zbMATH Keywords

negative binomial distributiongamma distributionStudent's \(t\)-distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

Related Items (1)

The rate of convergence of the distributions of regular statistics constructed from samples with negatively binomially distributed random sizes to the Student distribution

Cites Work

• Unnamed Item
• Convergence rate estimates in some limit theorems for geometric random sums
• Generalized Poisson Models and their Applications in Insurance and Finance

This page was built for publication: On the accuracy of approximation of the negative binomial distribution by the gamma distribution and convergence rate of the distributions of some statistics to the Student distribution