Integral form of the COM-Poisson renormalization constant

DOI10.1016/j.spl.2016.07.008zbMath1349.62424arXiv1607.02727OpenAlexW2963887640MaRDI QIDQ334019

Tibor K. Pogány

Publication date: 31 October 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02727

zbMATH Keywords

Dirichlet seriesCahen integralCOM-Poisson renormalization constant \(Z(\lambda, \nu)\)inverse gamma function

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Integral methods for summability (40C10)

Related Items (7)

Some characterizations and properties of COM-Poisson random variables ⋮ Integral form of Le Roy-type hypergeometric function ⋮ On a generalized three-parameter Wright function of Le Roy type ⋮ Prabhakar function of Le Roy type: a set of results in the complex plane ⋮ An asymptotic expansion for the normalizing constant of the Conway-Maxwell-Poisson distribution ⋮ A note on integral representation of some generalized zeta functions and its consequences ⋮ Unnamed Item

Cites Work

• Useful moment and CDF formulations for the COM-Poisson distribution
• Inverses of gamma functions
• Integral representation of Mathieu (a, λ)-series
• Approximating the Conway–Maxwell–Poisson distribution normalization constant
• Approximating the Conway-Maxwell-Poisson normalizing constant
• A Useful Distribution for Fitting Discrete Data: Revival of the Conway–Maxwell–Poisson Distribution

This page was built for publication: Integral form of the COM-Poisson renormalization constant