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

MU Weiyan; JIA Xiaofang; XIONG Shifeng

doi:10.7523/j.ucas.2023.001

Journal of University of Chinese Academy of Sciences >

2024 , Vol. 41 >Issue 6: 728 - 735

DOI: https://doi.org/10.7523/j.ucas.2023.001

Research Articles

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

MU Weiyan ,
JIA Xiaofang ,
XIONG Shifeng

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1. College of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;
2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Received date: 2022-04-26

Revised date: 2023-01-09

Online published: 2023-01-09

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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

Cite this article

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 . DOI: 10.7523/j.ucas.2023.001

References

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