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On the confidence intervals of process capability index Cpm based on a progressive type-II censored sample

Quality and Reliability Engineering International · Temmuz 2022

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On the confidence intervals of process capability index Cpm based on a progressive type-II censored sample
Quality and Reliability Engineering International · 2022 SCI-Expanded
DOÇENT YUNUS AKDOĞAN →

Makale Bilgileri

DergiQuality and Reliability Engineering International
Yayın TarihiTemmuz 2022
Cilt / Sayfa38 · 2845-2861
Özet This paper is concerned with the process capability index in the case of the progressively type-II censored sample. In particular, the asymptotic distribution of maximum likelihood estimators of the process capability index is derived and it is used to construct the approximate confidence intervals with the delta rule. In addition, five parametric bootstrap confidence intervals for the (Formula presented.) index are discussed, in contrast to approximate confidence intervals, do not require second derivatives of the likelihood function. A Monte Carlo simulation study is performed to observe the coverage probabilities and the average width of these intervals. Simulation results indicate that the approximate confidence interval is better than the bootstrap based confidence intervals in terms of the coverage probabilities. Two practical examples are presented to illustrate the usability of the method discussed here.

Yazarlar (1)

1
Yunus Akdoğan

Anahtar Kelimeler

asymptotic distribution bootstrap confidence interval process capability index progressive type-ii censoring

Kurumlar

Selçuk Üniversitesi
Selçuklu Turkey

Metrikler

5
Atıf
1
Yazar
5
Anahtar Kelime

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