Integrals of incomplete beta functions, with applications to order statistics, random walks and string enumeration

DOI10.1214/21-BJPS522zbMath1490.60037arXiv2104.12216WikidataQ114060473 ScholiaQ114060473MaRDI QIDQ2077458

Stephen B. Connor, Christopher J. Fewster

Publication date: 21 February 2022

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12216

zbMATH Keywords

incomplete beta functionorder statisticsexit timeEuler transformKampé de Fériet functionsstring enumerationgeneralized Dixon identitygeneralized Whipple identity

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

A semiclassical singularity theorem

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Computing the moments of order statistics from independent nonidentically distributed beta random variables
• Closed-form expressions for moments of a class of beta generalized distributions
• Recurrence relations for the moments of order statistics from a beta distribution
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Explicit expressions for moments of order statistics
• Indefinite integrals of products of special functions
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
• A new derivation of singularity theorems with weakened energy hypotheses
• The occurrence of singularities in cosmology

This page was built for publication: Integrals of incomplete beta functions, with applications to order statistics, random walks and string enumeration