10–14 Sept 2023
Europe/Madrid timezone

Recent Developments on Distribution-Free Phase-I Monitoring - An Overview and Some New Results

13 Sept 2023, 11:05
20m
2.12

2.12

Speaker

Amitava Mukherjee (XLRI -Xavier School of Management)

Description

Phase-I monitoring plays a vital role as it helps to analyse the process stability retrospectively using a set of available historical samples and obtaining a benchmark reference sample to facilitate Phase-II monitoring. Since, at the very beginning process state and its stability is unknown, trying to assume a parametric model to the available data (which could be well-contaminated) is unwarranted, and to this end, nonparametric procedures are highly recommended. Earlier research on nonparametric Phase-I monitoring was primarily confined to monitoring location, scale, or joint location-scale parameters. Recent developments have suggested including skewness or kurtosis aspects as well in monitoring. The current paper gives a broad overview of various available charts and offers some new results on the adaptive choice between the charts when nothing is known. Some industrial applications are discussed.

Classification Both methodology and application
Keywords Nonparametric, Phase-I, Control Chart, Joint Monitoring

Primary author

Amitava Mukherjee (XLRI -Xavier School of Management)

Presentation materials

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