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

George Sebastian () and Sasi Ajitha ()
Additional contact information
George Sebastian: Department of Statistics, St. Thomas College Palai, Arunapuram, Mahathma Gandhi University, Kottayam, Kerala 686574, India
Sasi Ajitha: Department of Statistics, St. Thomas College Palai, Arunapuram, Mahathma Gandhi University, Kottayam, Kerala 686574, India

Stochastics and Quality Control, 2017, vol. 32, issue 2, 87-98

Abstract: This 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 CNp⁢(u,v){C_{N_{p}}(u,v)} when the distribution of the quality characteristic follows an asymmetric non-normal distribution. We illustrate this method when the distribution of the quality characteristic is a member of the family of Esscher-transformed Laplace models introduced by S. George and D. George [11]. We obtain the bias corrected and accelerated (BCa) bootstrap confidence intervals of CNp⁢(u,v){C_{N_{p}}(u,v)}, which provide lower confidence intervals with coverage probability nearer to the nominal value compared to the asymptotic confidence intervals. We conclude that for asymmetric and peaked processes, the BCa confidence interval is a better alternative compared to the usual confidence intervals under the assumption that the quality characteristic follows a Gaussian type distribution. Numerical examples are given based on some real data.

Keywords: Asymptotic and Bootstrap Confidence Intervals; Coverage Probability; Esscher-Transformed Laplace Distribution; Process Capability Index; Quantiles (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2017-0010 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:32:y:2017:i:2:p:87-98:n:2

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/eqc-2017-0010

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().