English

Markov-Modulated Linear Regression

Methodology 2019-01-29 v1

Abstract

Classical linear regression is considered for a case when regression parameters depend on the external random environment. The last is described as a continuous time Markov chain with finite state space. Here the expected sojourn times in various states are additional regressors. Necessary formulas for an estimation of regression parameters have been derived. The numerical example illustrates the results obtained.

Keywords

Cite

@article{arxiv.1901.09600,
  title  = {Markov-Modulated Linear Regression},
  author = {Alexander M. Andronov and Nadezda Spiridovska},
  journal= {arXiv preprint arXiv:1901.09600},
  year   = {2019}
}

Comments

In proceedings book: International conference on Statistical Models and Methods for Reliability and Survival Analysis and Their Validation (S2MRSA), 5 pages