Title
An Analysis of Accelerated Performance Degradation Tests Assuming the Arrhenius Stress-Relationship
Abstract
An analytical model is developed for accelerated performance degradation tests. The performance degradations of products at a specified exposure time are assumed to follow a normal distribution. It is assumed that the relationship between the location parameter of normal distribution and the exposure time is a linear function of the exposure time that the slope coefficient of the linear relationship has an Arrhenius dependence on temperature, and that the scale parameter of the normal distribution is constant and independent of temperature or exposure time. The method of maximum likelihood estimation is used to estimate the parameters involved. The likelihood function for the accelerated performance degradation data is derived. The approximated variance-covariance matrix is also derived for calculating approximated confidence intervals of maximum likelihood estimates. Finally we use two real examples for estimating the failure-time distribution, technically defined as the time when performance degrades below a specified level.
Year
DOI
Venue
2008
10.1142/S0217595908002061
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
Keywords
Field
DocType
Accelerated performance degradation test,Arrhenius law,maximum likelihood estimation,Fisher information matrix
Mathematical optimization,Normal distribution,Likelihood function,Likelihood-ratio test,Expectation–maximization algorithm,Half-normal distribution,Estimation theory,Scale parameter,Mathematics,Generalized normal distribution
Journal
Volume
Issue
ISSN
25
6
0217-5959
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Tae Hyoung Kang100.34
Sang Wook Chung200.34
Won Young Yun3738.14