DocumentCode
1198409
Title
Reliability Modeling: Linear Combination and Ratio of Exponential and Rayleigh
Author
Kibria, B. M Golam ; Nadarajah, Saralees
Author_Institution
Dept. of Stat., Florida Int. Univ., Miami, FL
Volume
56
Issue
1
fYear
2007
fDate
3/1/2007 12:00:00 AM
Firstpage
102
Lastpage
105
Abstract
The distributions of linear combinations, and ratios of random variables arise explicitly in many reliability problems. This has increased the need to have available the widest possible range of statistical results on products of random variables. In this paper, the exact distributions of alphaX+betaY, and X/Y are derived when X, and Y follow two of the most applied models in reliability. Computer programs for calculating the associated percentage points are also given
Keywords
exponential distribution; reliability; Rayleigh distribution; exponential distribution; linear combination distributions; random variables; reliability modeling; statistical results; Bicycles; Bridges; Chemicals; Computerized monitoring; Condition monitoring; Distribution functions; Probability density function; Random variables; Shafts; Vehicles; Linear combination of random variables; ratio of random variables; reliability;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/TR.2006.884591
Filename
4118434
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