From PH/MAP to ME/RAP

DOI10.1007/s11134-022-09755-wzbMath1491.90031OpenAlexW4220932691MaRDI QIDQ2146379

Mogens Bladt, Soren Asmussen

Publication date: 16 June 2022

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-022-09755-w

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probability distributions: general theory (60E05) Queues and service in operations research (90B22) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Unnamed Item
• Point processes with finite-dimensional conditional probabilities
• RAP-modulated fluid processes: first passages and the stationary distribution
• Fluctuation theory for one-sided Lévy processes with a matrix-exponential time horizon
• Lévy Processes, Phase-Type Distributions, and Martingales
• Matrix-Exponential Distributions in Applied Probability
• Quasi-Birth-and-Death Processes with Rational Arrival Process Components
• High order concentrated matrix-exponential distributions
• Characterization of phase-type distributions
• Characterization of Matrix-Exponential Distributions
• Stationary distributions for fluid flow models with or without brownian noise
• A factorization of a Lévy process over a phase-type horizon
• Erlangian Approximations for Finite-Horizon Ruin Probabilities
• Matrix‐Exponential Distributions: Calculus and Interpretations via Flows
• Fitting with Matrix-Exponential Distributions

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