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A New Method of Estimating the Process Capability Index with Exponential Distribution Using Interval Estimate of the Parameter

A New Method of Estimating the Process Capability Index with Exponential Distribution Using... AbstractThis paper deals with a new method of deriving the Process Capability Index (PCI) when the quality characteristic X follows a positively skewed distribution. The focus of the paper is to derive a new estimate of PCI by taking into account the 100⁢(1-α){100(1-{\alpha})}  Confidence Intervals (CI) of the parameter (s) and arriving at a new expression. The formula Cs{{C}_{{s}}}, proposed by Wright (1995) which contains a component for skewness, is reexamined and a new estimate is constructed by utilizing the lower, middle and upper values of the CI of the parameter. The weighted average of the three possible estimates of Cs{{C}_{{s}}}is proposed as the new estimate by taking the weights inversely proportional to the squared deviation from the hypothetical value of Cs{{C}_{{s}}}. The properties of the estimate are studied by simulation using one parameter exponential distribution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

A New Method of Estimating the Process Capability Index with Exponential Distribution Using Interval Estimate of the Parameter

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References (15)

Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2019-0005
Publisher site
See Article on Publisher Site

Abstract

AbstractThis paper deals with a new method of deriving the Process Capability Index (PCI) when the quality characteristic X follows a positively skewed distribution. The focus of the paper is to derive a new estimate of PCI by taking into account the 100⁢(1-α){100(1-{\alpha})}  Confidence Intervals (CI) of the parameter (s) and arriving at a new expression. The formula Cs{{C}_{{s}}}, proposed by Wright (1995) which contains a component for skewness, is reexamined and a new estimate is constructed by utilizing the lower, middle and upper values of the CI of the parameter. The weighted average of the three possible estimates of Cs{{C}_{{s}}}is proposed as the new estimate by taking the weights inversely proportional to the squared deviation from the hypothetical value of Cs{{C}_{{s}}}. The properties of the estimate are studied by simulation using one parameter exponential distribution.

Journal

Economic Quality Control – de Gruyter

Published: Dec 1, 2019

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