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Optimal detection of homogeneous segment of observations in stochastic sequence

Probability 2020-11-23 v3 Information Theory math.IT Statistics Theory Statistics Theory

Abstract

A Markov process is registered. At random moment θ\theta the distribution of observed sequence changes. Using probability maximizing approach the optimal stopping rule for detecting the change is identified. Some explicit solution is obtained.

Keywords

Cite

@article{arxiv.0812.3632,
  title  = {Optimal detection of homogeneous segment of observations in stochastic sequence},
  author = {Wojciech Sarnowski and Krzysztof Szajowski},
  journal= {arXiv preprint arXiv:0812.3632},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-21T11:53:47.326Z