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

Vedururu Sai Sarada (), Subbarayudu M. () and Sarma K. V. S. ()
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Vedururu Sai Sarada: Department of Statistics, S. V. University, Tirupati-517 502, India
Subbarayudu M.: Department of Statistics, S. V. University, Tirupati-517 502, India
Sarma K. V. S.: Biostatistician, Sri Venkateswara Institute of Medical Sciences, Tirupati-517 502, India

Stochastics and Quality Control, 2019, vol. 34, issue 2, 95-102

Abstract: This 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.

Keywords: Exponential Distribution; Confidence Intervals; Process Capability Index (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1515/eqc-2019-0005

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