Interval estimation for the process capability index under the inverse Rayleigh and log-logistic distributions

doi:10.7523/j.ucas.2023.001

Abstract

Abstract: In this paper， we discuss the statistical inferential problem on an important process capability index C_Npk under the inverse Rayleigh and log-logistic distributions. We construct the generalized pivotal quantities for C_Npk, and subsequently the generalized confidence intervals proposed. Numerical results show that the proposed interval estimation performs better than the bootstrap method in terms of coverage rate and interval width.

Key words: generalized pivot quantity, generalized confidence interval, process capability indices, inverse Rayleigh distribution, log-logistic distribution

CLC Number:

MU Weiyan, JIA Xiaofang, XIONG Shifeng. Interval estimation for the process capability index under the inverse Rayleigh and log-logistic distributions[J]. Journal of University of Chinese Academy of Sciences, 2024, 41(6): 728-735.

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