A general analytical solution for calculating \(n\)-fold convolution power of exponential-sum distribution functions

DOI10.1016/S0096-3003(01)00267-3zbMath1026.60003OpenAlexW2033227744MaRDI QIDQ1855868

R. P. King, Naiyang Ma

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00267-3

zbMATH Keywords

Laplace transformconvolution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Laplace transform (44A10) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

A novel analytical scheme to compute the \(n\)-fold convolution of exponential-sum distribution functions ⋮ The \(n\)-fold convolution of generalized exponential-sum distribution functions ⋮ The \(n\)-fold convolution of a finite mixture of densities ⋮ Discrete distributions based on inter arrival times with application to football data

Cites Work

• How to compute the n-fold convolution power of elementary functions without numerical integration
• Introduction to the Laplace transform
• Complete multinomial expansions
• Numerical Integration Using Sums of Exponential Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A general analytical solution for calculating \(n\)-fold convolution power of exponential-sum distribution functions