Result: Properties of Estimators of the Process Capability Index Cpk
Title:
Properties of Estimators of the Process Capability Index Cpk
Authors:
Source:
Communications in statistics. Simulation and computation. 41(8-10):1444-1462
Publisher Information:
Colchester: Taylor & Francis, 2012.
Publication Year:
2012
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Plans d'expériences et configurations, Designs and configurations, Probabilités et statistiques, Probability and statistics, Statistiques, Statistics, Inférence non paramétrique, Nonparametric inference, Plans d'expériences, Experimental design, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Commande processus, Process control, Control proceso, Erreur absolue, Absolute error, Error absoluto, Erreur moyenne, Mean error, Error medio, Erreur systématique, Bias, Error sistemático, Estimation biaisée, Biased estimation, Estimación sesgada, Estimation densité, Density estimation, Estimación densidad, Estimation erreur, Error estimation, Estimación error, Estimation non paramétrique, Non parametric estimation, Estimación no paramétrica, Estimation statistique, Statistical estimation, Estimación estadística, Fonction densité probabilité, Probability density function, Función densidad probabilidad, Fonction densité, Density function, Función densidad, Loi normale, Gaussian distribution, Curva Gauss, Méthode statistique, Statistical method, Método estadístico, Plan expérience, Experimental design, Plan experiencia, Simulation numérique, Numerical simulation, Simulación numérica, Simulation statistique, Statistical simulation, Simulación estadística, Tolérance, Tolerance, Tolerancia, 05Bxx, 62G07, 62K99, Asymmetric tolerance, Ensemble estimator, Indirect estimator, Primary 62F10, Secondary 62P30
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics and Institute of Mathematics, Fu-Jen Catholic University, Tawain, Province of China
ISSN:
0361-0918
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.26164000
Database:
PASCAL Archive
Further Information
The capability index Cpk is designed for an in-control process with asymmetric tolerances. In this article, the density function of the natural estimator is derived. The expression is in terms of finite sum and only involves standard normal distribution. Four ensemble estimators for Cpk are proposed. A simulation study is conducted due to the complexity of the mean-squared error of the estimators. The comparisons among estimators are based on the mean-squared error, standard error and absolute bias of estimators. Furthermore, the ability for an estimator to reach a given capability level is also considered.