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On the sampling distribution of clement's capability index
Authors:Wagner Borges  Linda Lee Ho
Affiliation:1. Departamento de Estatística - IME , Universidade de S?o Paulo , 66281, S?o Paulo, SP, Brazil , Caixa Postal 05315–970;2. Departamento de Engenharia de Produ??o - EP , Universidade de S?o Paulo , 61548, S?o Paulo, SP, Brazil , Caixa Postal 05424–970
Abstract:Most of the research effort concerning the development and statistical study of capability indices has been devoted to normal processes. In this paper a statistical study of a capability index for non-normal processes proposed by Clements (1989) is developed. An approximate distribution for the natural estimator of the index is obtained from a distribution free point of view and a simulation study is used to compare it with its empirical distribution. An approximate conservative lower confidence limit for the index is also constructed.
Keywords:Process capability index  Non-normal process  Approximate distribution  Simulation
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