Statistical approaches to point estimation of Yongting’s capability index

Document Type : Research Paper

Authors

Department of Statistics‎, ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran

Abstract

Yongting capability index is a suitable criterion for measuring and evaluating the eficiency of industrial processes to produce items conforming the fuzzy quality. This paper develops and applies several statistical estimation approaches for evaluating Yongting’s capability index based on the fuzzy quality and provides a comprehensive comparative study of their performance. This enhances the methodological toolkit available for researchers and practitioners engaged in evaluating and improving industrial production processes. The proposed and discussed approaches in this paper are: (1) Kernel density estimation, (2) Monte Carlo estimation, (3) method of moments estimation and (4) maximum likelihood estimation. The proposed estimation approaches are compared in a simulation case study to show the performance discussed approaches. 

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References

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History

  • Receive Date: 27 September 2025
  • Revise Date: 14 January 2026
  • Accept Date: 25 April 2026

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