Cover Image

The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gaunt, Robert E., Sutcliffe, Heather L.
Format:	Preprint
Published:	2026
Subjects:	Probability Primary 41A60, 60E05, 62E15, Secondary 33C10, 33C15, 33C45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The variance-gamma product distribution
by: Gaunt, Robert E., et al.
Published: (2025)

The distribution of the ratio of products of independent zero mean normal random variables
by: Gaunt, Robert E., et al.
Published: (2026)

Absolute moments of the variance-gamma distribution
by: Gaunt, Robert E.
Published: (2024)

On the characteristic function of the asymmetric Student's $t$-distribution and an integral involving the sine function
by: Gaunt, Robert E.
Published: (2026)

Infinite Divisibility of the Product of Two Correlated Normal Random Variables and Exact Distribution of the Sample Mean
by: Gaunt, Robert E., et al.
Published: (2024)

The distribution of the product of independent variance-gamma random variables
by: Gaunt, Robert E., et al.
Published: (2024)

Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge
by: Bornemann, Folkmar
Published: (2024)

Complete corrected formula for generating functions of the hypergeometric distribution
by: Yamamoto, Ken
Published: (2024)

An Optimal Selection Problem Associated with the Poisson Process
by: Derbazi, Zakaria
Published: (2024)

Symmetric quantum walks on Hamming graphs and their limit distributions
by: Griffiths, Robert, et al.
Published: (2025)

On the cumulative distribution function of the variance-gamma distribution
by: Gaunt, Robert E.
Published: (2023)

Record-based transmuted unit omega distribution: different methods of estimation and applications
by: Pathak, Ashok Kumar, et al.
Published: (2024)

Identification of the residual term in multiplicative self-decomposition using Fox $H$-functions
by: da Silva, José Luís, et al.
Published: (2025)

A Stein characterisation of the distribution of the product of correlated normal random variables
by: Gaunt, Robert E., et al.
Published: (2024)

A probabilistic proof of some integral formulas involving incomplete gamma functions
by: Gaunt, Robert E.
Published: (2023)

Asymptotic expansions relating to the distribution of the product of correlated normal random variables
by: Gaunt, Robert E., et al.
Published: (2024)

On count data models based on Bernstein functions or their inverses
by: D'Onofrio, G., et al.
Published: (2024)

On the product of correlated normal random variables and the noncentral chi-square difference distribution
by: Gaunt, Robert E.
Published: (2024)

Asymptotic approximations for the distribution of the product of correlated normal random variables
by: Gaunt, Robert E., et al.
Published: (2023)

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge II: Level Densities
by: Bornemann, Folkmar
Published: (2025)

$λ$-shaped random matrices, $λ$-plane trees, and $λ$-Dyck paths
by: Bisi, Elia, et al.
Published: (2024)

Large-degree asymptotic expansions for the Jacobi and related functions
by: Nemes, Gergő
Published: (2024)

An explicit Wishart moment formula for the product of two disjoint principal minors
by: Genest, Christian, et al.
Published: (2024)

Universal scaling limits at the spectral singularity of structured random matrices
by: Ebke, Markus, et al.
Published: (2025)

Darboux-type formula for Jacobi biorthogonal polynomials
by: Lin, Zhaofeng, et al.
Published: (2026)

Complete asymptotic expansions of the Humbert function $Ψ_1$ for two large arguments
by: Hang, Peng-Cheng, et al.
Published: (2024)

Uniform asymptotic expansions for the zeros of parabolic cylinder functions
by: Dunster, T. M., et al.
Published: (2024)

Fractional binomial distributions induced by the generalized binomial theorem and their applications
by: Hino, Masanori, et al.
Published: (2024)

Uniform upper bounds and asymptotic expansions for certain index kernels
by: Yakubovich, Semyon
Published: (2024)

Fast exact simulation of the first passage of a tempered stable subordinator across a non-increasing function
by: Cázares, Jorge Ignacio González, et al.
Published: (2023)

On fluctuations of Coulomb systems and universality of the Heine distribution
by: Ameur, Yacin, et al.
Published: (2024)

On differentiation with respect to parameters of the functions of the Mittag-Leffler type
by: Rogosin, Sergei V., et al.
Published: (2024)

A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function
by: Dar, S. A., et al.
Published: (2026)

Matrix Whittaker processes
by: Arista, Jonas, et al.
Published: (2022)

McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
by: Gil, Amparo, et al.
Published: (2024)

Random matrices associated to Young diagrams
by: Cunden, Fabio Deelan, et al.
Published: (2023)

Combinatorics of Even-Valent Graphs on Riemann Surfaces
by: Gharakhloo, Roozbeh, et al.
Published: (2025)

On the Absolute-Value Integral of a Brownian Motion with Drift: Exact and Asymptotic Formulae
by: Xia, Weixuan, et al.
Published: (2023)

On a power series distribution with mean parameterization
by: Volkov, Oleksandr, et al.
Published: (2025)

On incomplete Gamma and Beta integrals
by: Wang, Haoming
Published: (2025)