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A Bayesian nonparametric model for Taguchi's on-line quality monitoring procedure for attributes |
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| Authors: | Miriam Harumi Tsunemi Thiago Feitosa Campos Luís Gustavo Esteves José Galvão Leite Sergio Wechsler |
| Institution: | 1. Departamento de Bioestatística, Universidade Estadual de São Paulo, Botucatu, Brazil;2. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil;3. Departamento de Estatística, Universidade Federal de São Carlos, São Carlos, Brazil |
| Abstract: | A Bayesian nonparametric model for Taguchi's on-line quality monitoring procedure for attributes is introduced. The proposed model may accommodate the original single shift setting to the more realistic situation of gradual quality deterioration and allows the incorporation of an expert's opinion on the production process. Based on the number of inspections to be carried out until a defective item is found, the Bayesian operation for the distribution function that represents the increasing sequence of defective fractions during a cycle considering a mixture of Dirichlet processes as prior distribution is performed. Bayes estimates for relevant quantities are also obtained. |
| Keywords: | Taguchi's procedure for attributes Continued quality deterioration Bayesian operation Mixture of Dirichlet processes Bayesian estimation |
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