Approximation with generalized hyperexponential distributions: Weak convergence results
type: Item
instance of: scholarly article
title: Approximation with generalized hyperexponential distributions: Weak convergence results
zbMATH Open document ID: 0655.60012
DOI: 10.1007/BF01536187
author: R. F. Botta
author: Carl M. Harris
published in: Queueing Systems
publication date: 1986-01-01T00:00:00Z
review text: It is demonstrated that the class of generalized hyperexponential distributions, which are affine combinations of exponentials, is dense in the class of all distributions on [0,\(\infty)\) with respect to the topology of weak convergence. Relations are given between this class and other classes of distributions used to approximate general distributions in applied probability models; these classes include mixed generalized Erlang distributions, distributions with rational Laplace transforms and phase-type distributions.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60F99
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 4069914
zbMATH Keywords: mixtures of exponentials
zbMATH Keywords: generalized hyperexponential distribution
zbMATH Keywords: topology of weak convergence
zbMATH Keywords: Erlang distributions
zbMATH Keywords: phase-type distributions
reviewed by: D. P. Kennedy
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01536187
OpenAlex ID: W2056712834
description: scientific article; zbMATH DE number 4069914