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Nonparametric Confidence Limits of Quantile-Based Process Capability Indices
Joint Authors
Source
International Journal of Quality, Statistics, and Reliability
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Economics & Business Administration
Economy
Abstract EN
We propose an asymptotic nonparametric confidence interval for quantile-based process capability indices (PCIs) based on the superstructure CNp(u,v) modified from Cp(u,v) which contains the four basic PCIs, Cp, Cpk, Cpm, and Cpmk, as special cases.
Since the asymptotic variance of the estimator for quantile-based PCIs involves the density function of the underlying process, the existing asymptotic results cannot be used directly to construct confidence limits for PCIs.
To obtain a consistent estimator for the asymptotic variance of the estimated quantile-based PCIs, in this paper, we propose to use the kernel density estimator for the underlying process.
Consequently, the confidence limits for PCIs are established based on the consistent estimates.
A real-life example from manufacturing engineering is used to illustrate the implementation of the proposed methods.
Simulation studies are also presented in this paper to compare the two quantile estimators that are used in the definition of PCIs.
American Psychological Association (APA)
Peng, Cheng& Xu, Jiaqing. 2012. Nonparametric Confidence Limits of Quantile-Based Process Capability Indices. International Journal of Quality, Statistics, and Reliability،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-513682
Modern Language Association (MLA)
Peng, Cheng& Xu, Jiaqing. Nonparametric Confidence Limits of Quantile-Based Process Capability Indices. International Journal of Quality, Statistics, and Reliability No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-513682
American Medical Association (AMA)
Peng, Cheng& Xu, Jiaqing. Nonparametric Confidence Limits of Quantile-Based Process Capability Indices. International Journal of Quality, Statistics, and Reliability. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-513682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513682