Bootstrap Confidence Limits on Process Capability Indices

1995 ◽  
Vol 44 (3) ◽  
pp. 373 ◽  
Author(s):  
Alan J. Collins
Keyword(s):  
Process Capability ◽  
Process Capability Indices ◽  
Confidence Limits ◽  
Capability Indices

Bootstrap Lower Confidence Limits of Superstructure Process Capability Indices for Esscher-Transformed Laplace Distribution

2017 ◽  
Vol 32 (2) ◽  
Author(s):  
Sebastian George ◽  
Ajitha Sasi
Keyword(s):  
Comparative Study ◽  
Process Capability ◽  
Laplace Distribution ◽  
Process Capability Indices ◽  
Confidence Limits ◽  
Super Structure ◽  
Lower Confidence ◽  
Capability Indices

AbstractThis article is a comparative study between the parametric asymptotic lower confidence limits and bootstrap lower confidence limits for the basic quantile based process capability indices based on the unified super-structure

scholarly journals Nonparametric Confidence Limits of Quantile-Based Process Capability Indices

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Cheng Peng ◽  
Jiaqing Xu
Keyword(s):  
Asymptotic Variance ◽  
Real Life ◽  
Process Capability ◽  
Process Capability Indices ◽  
Density Estimator ◽  
Confidence Limits ◽  
Asymptotic Results ◽  
Underlying Process ◽  
Special Cases ◽  
Capability Indices

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.

Lower Confidence Limits on Process Capability Indices

1990 ◽  
Vol 22 (3) ◽  
pp. 223-229 ◽  
Author(s):  
Youn-Min Chou ◽  
D. B. Owen ◽  
A. Salvador ◽  
A. Borrego
Keyword(s):  
Process Capability ◽  
Process Capability Indices ◽  
Confidence Limits ◽  
Lower Confidence ◽  
Capability Indices
Sign in / Sign up

Export Citation Format

Share Document