On a Generalization of the Weibull Distribution and Its Application in Quality Control

Jose K. K. (), Tomy Lishamol () and Thomas Sophia P. ()
Additional contact information
Jose K. K.: Department of Statistics, St. Thomas College, Pala, Kerala, India
Tomy Lishamol: Department of Statistics, Deva Matha College, Kuravilangad-686633, Kerala, India
Thomas Sophia P.: Department of Statistics, St. Thomas College, Pala, Kerala, India
Authors registered in the RePEc Author Service: Jose K. Kanichukattu ()

Stochastics and Quality Control, 2018, vol. 33, issue 2, 113-124

Abstract: In this article, a generalization of the Weibull distribution called Harris extended Weibull distribution is studied, and its properties are discussed. We fit the distribution to a real-life data set to show the applicability of this distribution in reliability modeling. Also, we derive a reliability test plan for acceptance or rejection of a lot of products submitted for inspection with lifetimes following this distribution. The operating characteristic functions of the sampling plans are obtained. The producer’s risk, minimum sample sizes and associated characteristics are computed and presented in tables. The results are illustrated using two data sets on ordered failure times of products as well as failure times of ball bearings.

Keywords: Acceptance Sampling Plan; Harris Extended Weibull Distribution; Reliability Test; Truncated Life Tests (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2018-0011 (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:33:y:2018:i:2:p:113-124:n:2

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

DOI: 10.1515/eqc-2018-0011

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 ().