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Universal compression algorithms have been studied in the past for sequentialchange detection, where they have been used to estimate the post-changedistribution in the modified version of the Cumulative Sum (CUSUM) Test. Inthis paper, we introduce a modified CUSUM test where the pre-changedistribution is also unknown and an empirical version of the pre-changedistribution is used to implement the algorithm. We present a study of variouscharacteristics of this modified CUSUM Test and then prove its asymptoticoptimality.

Sequential Change Detection through Empirical Distribution and Universal Codes