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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics Faculty Publications and Presentations

2016

Distributional change

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Full-Text Articles in Physical Sciences and Mathematics

On Phase Ii Monitoring Of The Probability Distributions Of Univariate Continuous Processes, Partha Sarathi Mukherjee Apr 2016

On Phase Ii Monitoring Of The Probability Distributions Of Univariate Continuous Processes, Partha Sarathi Mukherjee

Mathematics Faculty Publications and Presentations

Statistical process control (SPC) charts are widely used in industry for monitoring the stability of certain sequential processes like manufacturing, health care systems etc. Most SPC charts assume that the parametric form of the “in-control” process distribution F1 is available. However, it has been demonstrated in the literature that their performances are unreliable when the pre-specified process distribution is incorrect. Moreover, most SPC charts are designed to detect any shift in mean and/or variance. In real world problems, shifts in higher moments can happen without much change in mean or variance. If we fail to detect those and let …