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A general novel process capability index for normal and non-normal measurements

Ain Shams Engineering Journal · Haziran 2024

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A general novel process capability index for normal and non-normal measurements
Ain Shams Engineering Journal · 2024 SCI-Expanded
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Makale Bilgileri

DergiAin Shams Engineering Journal
Yayın TarihiHaziran 2024
Cilt / Sayfa15
Erişim🔓 Açık Erişim
Özet In this study, a new process capability index is proposed. The new index is quantile-based, can be used in normal and non-normal measurements, and is a general form of the conventional Cpm. The new index is investigated by relying on the Weibull distribution, which holds significant importance in quality control and reliability studies. Point estimation for the index is discussed with parametric and non-parametric approaches. Moreover, several estimators based on methods such as Bayesian and bootstrap are suggested for interval estimation. A Monte Carlo simulation study is conducted to evaluate the performance of methodologies in both on-target and off-target processes. In addition, numerical examples are provided to evaluate two real-world problems where the measurements follow both the Weibull and normal distributions. The usability of the index is particularly evident when evaluating the ball size data in the first real data analysis, where the classical Cpm index is not used.

Yazarlar (1)

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Kadir Karakaya

Anahtar Kelimeler

Interval estimation On-target process Process capability index Quality control STN-LCD thickness data Weibull distribution

Kurumlar

Selçuk Üniversitesi
Selçuklu Turkey