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
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2006.884591
