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Unspecified distribution in single disorder problem

Probability 2020-11-17 v2 Information Theory math.IT Statistics Theory Statistics Theory

Abstract

We register a stochastic sequence affected by one disorder. Monitoring of the sequence is made in the circumstances when not full information about distributions before and after the change is available. The initial problem of disorder detection is transformed to optimal stopping of observed sequence. Formula for optimal decision functions is derived.

Keywords

Cite

@article{arxiv.0903.5341,
  title  = {Unspecified distribution in single disorder problem},
  author = {Wojciech Sarnowski and Krzysztof Szajowski},
  journal= {arXiv preprint arXiv:0903.5341},
  year   = {2020}
}

Comments

23 pages

R2 v1 2026-06-21T12:46:22.034Z