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A Johnson's Type Transformation EWMA-S2 Control Chart

Authors: CASTAGLIOLA P; CELANO, GIOVANNI; FICHERA, Sergio;

A Johnson's Type Transformation EWMA-S2 Control Chart

Abstract

This article demonstrates how a four parameters (bounded) Johnson SB transformation combined with an EWMA approach can be used to monitor the sample variance of a process. The resulting chart will be called an EWMA-J-S2 chart. In this article, the computation of both the control limits and the parameters of the Johnson SB transformation of the EWMA-J-S2 chart are explained. An easy-to-use table providing useful constants and an illustrative example are given. The distributional properties of the transformed sample variance are derived and, finally, an optimal design strategy based on the ARL is presented and a list of optimal design parameters for the EWMA-J-S2 chart is provided.

Keywords

Sample variance; EWMA; Johnson's distribution

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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