CUSUM for Detecting Small Persistent Shifts in a Process Mean

The CUmulative SUM (CUSUM) chart is a powerful sequential procedure rooted in statistical hypothesis testing. This document provides the theoretical formulation of the standard CUSUM, its parameters, and robust extensions necessary for application in heavy-tailed, non-stationary environments like market risk scoring.

A step-by-step algorithm and an illustrative example are included in CUSUM for Detecting Small Persistent Shifts in a Process Mean

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