RAP-modulated fluid processes: First passages and the stationary distribution-Reference-Cited by-同舟云学术

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RAP-modulated fluid processes: First passages and the stationary distribution

Published:2022-07 Issue: Volume:149 Page:308-340
ISSN:0304-4149
Container-title:Stochastic Processes and their Applications
language:en
Short-container-title:Stochastic Processes and their Applications

Author:

Bean Nigel G.,Nguyen Giang T.,Nielsen Bo F.,Peralta Oscar^ORCID

Funder

Australian Research Council

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference15 articles.

1. Stationary distributions for fluid flow models with or without Brownian noise;Asmussen;Stoch. Models,1995

2. Renewal theory and queueing algorithms for matrix-exponential distributions;Asmussen,1997

3. Point processes with finite-dimensional probabilities;Asmussen;Stochastic Process. Appl.,1999

4. Solution of the matrix equation AX+XB=C;Bartels;Commun. ACM,1972

5. Characterization of matrix-exponential distributions;Bean;Stoch. Models,2008

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1. A series expansion formula of the scale matrix with applications in CUSUM analysis;Stochastic Processes and their Applications;2024-04

2. A Markov jump process associated with the matrix-exponential distribution;Journal of Applied Probability;2022-09-20

3. From PH/MAP to ME/RAP;Queueing Systems;2022-03-22

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