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Process Drift Detection

Process drift is a gradual shift in the central tendency or variation of a manufacturing process over time. Drift detection identifies these slow changes before they cause out-of-specification production, using statistical methods to distinguish drift from normal random variation.

Why It Matters

Process drift is insidious because it is slow. A tool wearing by 0.2 microns per hour may not trigger a single control chart alarm for days, yet after a week the process has drifted 30 microns from its target. Traditional Shewhart charts are designed to detect sudden shifts (2-sigma or larger), not gradual trends.

CUSUM (Cumulative Sum) and EWMA (Exponentially Weighted Moving Average) charts were developed specifically for drift detection, but they still rely on known process parameters (target mean, standard deviation) typically derived from a normally distributed baseline. When the baseline is non-normal, these specialized charts inherit the same false alarm problems as Shewhart charts.

Effective drift detection requires methods that can learn the "normal" baseline distribution accurately and then detect changes in that distribution over time — including changes in shape, not just location.

The EntropyStat Perspective

EntropyStat detects process drift by comparing EGDF distributions across time windows rather than tracking point statistics like the mean. By fitting an EGDF to a baseline period and then fitting separate EGDFs to subsequent windows, the system can use the two-sample K-S test to detect when the process distribution has changed — in any way, not just in mean or variance.

This distribution-level comparison catches drift patterns that traditional methods miss. A process drifting from a symmetric distribution to a skewed one (common with tool wear) may maintain the same mean while the defect rate doubles. Mean-based charts would show no signal. EGDF comparison would detect the shape change immediately.

The ELDF adds temporal resolution to drift analysis. When fitted to time-ordered data, clusters detected by the ELDF can correspond to distinct process states over time — effectively segmenting the production history into periods of stable operation and transition. This gives engineers a clearer picture of when the drift started and how it progressed, rather than just a binary "in control / out of control" verdict.

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