On consistency of Bayesian parameter estimations for a class of ergodic Markov models
Probability
2025-03-27 v3
Abstract
The consistency of the Bayesian estimation of a parameter is shown for a class of ergodic discrete Markov chains. J.L. Doob's method was used, offered earlier for the i.i.d. situation. The result may be useful in the reliability theory for models with unknown parameters, in the risk management in financial mathematics, and in other applications.
Keywords
Cite
@article{arxiv.2204.13179,
title = {On consistency of Bayesian parameter estimations for a class of ergodic Markov models},
author = {A. I. Nurieva and A. Yu. Veretennikov},
journal= {arXiv preprint arXiv:2204.13179},
year = {2025}
}
Comments
13 pages, 18 references