The abscissa of convergence of the laplace-stieltjes transform of a ph-distribution

DOI10.1080/03610918408812381zbMath0546.44006OpenAlexW2002707030MaRDI QIDQ3336177

Marcel F. Neuts

Publication date: 1984

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918408812381

zbMATH Keywords

abscissa of convergenceLaplace- Stieltjes transformprobability distribution of phase type

Mathematics Subject Classification ID

Laplace transform (44A10) Integral transforms of special functions (44A20) Distribution theory (60E99)

Related Items

Computation of the quasi-stationary distributions in \(M(n)/GI/1/K\) and \(GI/M(n)/1/K\) queues ⋮ The Algebraic Degree of Phase-Type Distributions ⋮ Phase-type distributions and representations: Some results and open problems for system theory ⋮ Equilibrium Distributions of Discrete Phase Type

Cites Work

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• On the use of phase type distributions in reliability modelling of systems with two components
• Asymptotic methods in reliability theory: a review
• Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers
• Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue