Please use this identifier to cite or link to this item:
Title: Robust regression using probability plots for estimating the Weibull shape parameter
Authors: Zhang, L.-F.
Xie, M. 
Tang, L.-C. 
Keywords: Least-squares estimator
Robust regression estimator
Shape parameter
Weibull distribution
Weibull probability plot
Issue Date: Dec-2006
Citation: Zhang, L.-F., Xie, M., Tang, L.-C. (2006-12). Robust regression using probability plots for estimating the Weibull shape parameter. Quality and Reliability Engineering International 22 (8) : 905-917. ScholarBank@NUS Repository.
Abstract: The Weibull shape parameter is important in reliability estimation as it characterizes the ageing property of the system. Hence, this parameter has to be estimated accurately. This paper presents a study of the efficiency of using robust regression methods over the ordinary least-squares regression method based on a Weibull probability plot. The emphasis is on the estimation of the shape parameter of the two-parameter Weibull distribution. Both the case of small data sets with outliers and the case of data sets with multiple-censoring are considered. Maximum-likelihood estimation is also compared with linear regression methods. Simulation results show that robust regression is an effective method in reducing bias and it performs well in most cases. Copyright © 2006 John Wiley & Sons, Ltd.
Source Title: Quality and Reliability Engineering International
ISSN: 07488017
DOI: 10.1002/qre.778
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on May 27, 2020


checked on May 27, 2020

Page view(s)

checked on May 31, 2020

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.