Sequential Change Detection through Empirical Distribution and Universal Codes

Vikrant Malik; R. K. Bansal

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arXiv · 2112.07549

Sequential Change Detection through Empirical Distribution and Universal Codes

Vikrant Malik·R. K. Bansal

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Abstract

Universal compression algorithms have been studied in the past for sequential change detection, where they have been used to estimate the post-change distribution in the modified version of the Cumulative Sum (CUSUM) Test. In this paper, we introduce a modified CUSUM test where the pre-change distribution is also unknown and an empirical version of the pre-change distribution is used to implement the algorithm. We present a study of various characteristics of this modified CUSUM Test and then prove its asymptotic optimality.

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Vikrant Malik, R. K. Bansal. 2021-12-14. Sequential Change Detection through Empirical Distribution and Universal Codes. https://arxiv.org/abs/2112.07549

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