14–18 Sept 2025
Piraeus, Greece
Europe/Athens timezone

One-sided Shewhart-EWMA and Shewhart-CUSUM Charts for Monitoring a Shifted Exponential Process

Not scheduled
20m
Piraeus, Greece

Piraeus, Greece

Statistical Process Monitoring

Speaker

Athanasios Rakitzis (University of Piraeus, Department of Statistics and Insurance Science)

Description

In this work we consider one-sided EWMA and CUSUM charts with one Shewhart-type control limit, and study their performance in the detection of shifts, of different magnitude, in the parameters of a two-parameter exponential distribution. Using Monte Carlo simulation, we calculate the run length distribution of the considered charts and evaluate their performance, focusing on the average run length and the expected average run length. Furthermore, we provide empirical rules for their statistical design. The preliminary results show that the considered combined schemes have better performance than the usual EWMA and CUSUM charts, especially in the detection of decreasing shifts in process parameters. An illustrative example, based on real data, is also discussed.

Acknowledgement: This work has been partly supported by the University of Piraeus Research Center.

Classification Mainly methodology
Keywords Combined control charts, Monte Carlo simulation, Run length distribution

Primary author

Athanasios Rakitzis (University of Piraeus, Department of Statistics and Insurance Science)

Presentation materials

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