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Sequential Change Detection Under Markov Setup With Unknown Prechange And Postchange Distributions

Statistics Theory 2026-03-17 v3 Information Theory Signal Processing math.IT Statistics Theory

Abstract

In this work we extend the results developed in 2022 for a sequential change detection algorithm making use of Page's CUSUM statistic, the empirical distribution as an estimate of the pre-change distribution, and a universal code as a tool for estimating the post-change distribution, from the i.i.d. case to the Markov setup.

Keywords

Cite

@article{arxiv.2510.26204,
  title  = {Sequential Change Detection Under Markov Setup With Unknown Prechange And Postchange Distributions},
  author = {Ashish Bhoopesh Gulaguli and Shashwat Singh and Rakesh Kumar Bansal},
  journal= {arXiv preprint arXiv:2510.26204},
  year   = {2026}
}

Comments

6 pages, theoretical paper, Pre-print

R2 v1 2026-07-01T07:13:19.041Z