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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Vedururu Sai Sarada & Subbarayudu M. & Sarma K. V. S., 2019. "A New Method of Estimating the Process Capability Index with Exponential Distribution Using Interval Estimate of the Parameter," Stochastics and Quality Control, De Gruyter, vol. 34(2), pages 95-102, December.
    • Handle: RePEc:bpj:ecqcon:v:34:y:2019:i:2:p:95-102:n:4
    DOI: 10.1515/eqc-2019-0005
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