DocumentCode
952408
Title
Weibull extensions of the Freund and Marshall-Olkin bivariate exponential models
Author
Lu, Jye-Chyi
Author_Institution
North Carolina State Univ., Raleigh, NC, USA
Volume
38
Issue
5
fYear
1989
fDate
12/1/1989 12:00:00 AM
Firstpage
615
Lastpage
619
Abstract
The physical motivation for the bivariate extensions of the exponential distribution due to Freund (1961) and Marshall-Olkin (1957) is common in engineering applications. The author extends their models to the case where the failure rate of one component changes upon the failure of the other and Poisson fatal shocks cause simultaneous failures of both components in order to derive bivariate extensions of the Weibull distribution. Some special cases, such as bivariate extensions of the linear hazard rate and minimum type distributions, are discussed
Keywords
failure analysis; reliability theory; statistical analysis; Freund model; Marshall-Olkin model; Poisson fatal shocks; Weibull distribution; bivariate exponential models; failure rate; linear hazard rate; minimum type distributions; reliability; Electric shock; Exponential distribution; Hazards; Mathematical model; Power generation; Probability; Reliability engineering; Reliability theory; Testing; Weibull distribution;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.46492
Filename
46492
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