Accelerated Lifetime Data Analysis with a Nonconstant Shape Parameter
Joint Authors
Niu, Zhanwen
Wang, Guodong
He, Zhen
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Accelerated life test is commonly used for the estimation of high-reliability product.
In this paper, we present a simple and efficient approach to estimate the coefficients of acceleration models.
Assuming that both scale and shape parameters of Weibull lifetime distribution vary with stress factors, we estimate the parameters of Weibull distribution using maximum likelihood method and reduce the bias of shape parameter estimator.
Considering the heteroscedasticity, we compute the estimates of the coefficients of acceleration models through weighted least square method.
Additionally, we obtain the confidence interval of low percentile via bootstrapping.
We compare the proposed method with other methods using a real lifetime example.
Finally, we study the performance of the proposed method by simulation.
The simulation results show that our proposed method is effective.
American Psychological Association (APA)
Wang, Guodong& Niu, Zhanwen& He, Zhen. 2015. Accelerated Lifetime Data Analysis with a Nonconstant Shape Parameter. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074757
Modern Language Association (MLA)
Wang, Guodong…[et al.]. Accelerated Lifetime Data Analysis with a Nonconstant Shape Parameter. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074757
American Medical Association (AMA)
Wang, Guodong& Niu, Zhanwen& He, Zhen. Accelerated Lifetime Data Analysis with a Nonconstant Shape Parameter. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074757
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074757