Semi-Markov modulated Poisson process: probabilistic and statistical analysis

DOI10.1007/s00186-006-0067-3zbMath1106.60071OpenAlexW2061500975MaRDI QIDQ857820

Refik Soyer, Süleyman Özekici

Publication date: 5 January 2007

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-006-0067-3

zbMATH Keywords

Bayesian analysisprobabilistic analysissemi-Markov modulation

Mathematics Subject Classification ID

Bayesian inference (62F15) Markov processes: estimation; hidden Markov models (62M05) Markov renewal processes, semi-Markov processes (60K15) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

Bayesian Computations for Reliability Analysis in Dynamic Environments ⋮ BAYESIAN ANALYSIS OF DOUBLY STOCHASTIC MARKOV PROCESSES IN RELIABILITY ⋮ Findings about the BMMPP for modeling dependent and simultaneous data in reliability and queueing systems ⋮ Dynamic analysis of a unified multivariate counting process and its asymptotic behavior ⋮ Generalized Poisson measures on topological spaces and applications ⋮ A Markov modulated Poisson model for software reliability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Markov-modulated queueing systems
• The M/M/1 queue with randomly varying arrival and service rates
• Markov modulated Bernoulli process
• Bayesian analysis of Markov modulated Bernoulli processes
• Reliability of software with an operational profile.
• Reliability of Complex Devices in Random Environments
• Inhomogeneous and modulated gamma processes
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• The Markov-modulated Poisson process (MMPP) cookbook
• Inventory Control in a Fluctuating Demand Environment

This page was built for publication: Semi-Markov modulated Poisson process: probabilistic and statistical analysis