Process capability analysis of non-normal process data using the Burr XII distribution

Abstract

This paper proposes a novel modification of Clements's method using the Burr XII distribution to improve the accuracy of estimates of indices associated with one-sided specification limits for non-normal process data. This work proposes a novel Burr-based method, and compares it with Clements's method by simulation. Finally, an example application to semiconductor manufacturing is presented.

Aplicação do Controle Estatístico de Processo (CEP) para monitoramento de melhorias obtidas com o método CAPDo em uma indústria de bebidas

“…= 3,27 Brasil ISSN 2237-5163 / v. 08, n. 01: p. 01-24, ano 2018DOI: 10.14521/p2237-5163.2018 da média das amplitudes pela constante d2 conforme a Tabela 1 (GIRON et al, 2013;LIU;CHEN, 2006;MONTGOMERY, 2009).…”

Metodología Para La Estimación De Índices De Capacidad en Procesos Para Datos No Normales

“…Con el empleo de este sistema de distribuciones, Liu y Chen proponen, como una variación del método de Clements, usar la distribución Burr XII para una mejor estimación [9].…”

“…Por otro lado, en el 2005, Liu y Chen propusieron emplear las distribuciones del sistema de Burr XII [9].…”

Process capability index Cpk for monitoring the thermal performance in the distribution of refrigerated products

“…Another method of handling non-normal situations in PCI analysis is to reduce the non-normal data into a normal configuration through a transformation technique, and then use a conventional normal method to estimate PCI values (Lin & Chen, 2006). Burr (1973) proposed a system of probability distributions, denominated Burr XII distribution, whose cumulative function is The corresponding probability density function of the Burr XII distribution is (Lin & Chen, 2006) …”