Perturbation results for comparison of Markov models

Authors

Boualem Rabta, L.A.M.O.S., Laboratory of Modeling and Optimization of Systems, University of Bejaia, Targa Ouzemour, Algeria.Follow

Author Country (or Countries)

Algeria.

Abstract

Markov chains are useful to model various complex systems. In numerous situations, the underlying Markov chain is subject to changes. For example, states may be added or deleted and transition probabilities perturbed. It is therefore, necessary to ensure the robustness of the system and to estimate the resulting deviation in the characteristics. In this paper we study the sensitivity of finite Markov chains subject to changes in their state space and propose updating formulas and perturbation bounds.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/jsap/020104

Recommended Citation

Rabta, Boualem (2013) "Perturbation results for comparison of Markov models," Journal of Statistics Applications & Probability: Vol. 2: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.12785/jsap/020104
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol2/iss1/4