Title :
Some j-shaped distributions: sums, products and ratios
Author :
Zhou, M. ; Yang, D.W. ; Wang, Y. ; Nadarajah, S.
Author_Institution :
Dept. of Stat., Nebraska Univ., Lincoln, NE
Abstract :
A class of J-shaped distributions due to Topp and Leone is revisited and a motivation for its use given in terms of the hazard rate function. The exact distributions for X+Y, X Y and X/(X+Y) are derived for the case in which X and Y are independent random variables from the J-shaped family. An application of the results is provided by tabulating the associated percentage points
Keywords :
failure analysis; reliability theory; statistical distributions; J-shaped distributions; cumulative distribution function; hazard rate function; independent random variables; products; ratios; reliability modeling; sums; wear-out regions; Distribution functions; Equations; Exponential distribution; Hazards; Probability density function; Random variables; Shape; Weibull distribution;
Conference_Titel :
Reliability and Maintainability Symposium, 2006. RAMS '06. Annual
Conference_Location :
Newport Beach, CA
Print_ISBN :
1-4244-0007-4
Electronic_ISBN :
0149-144X
DOI :
10.1109/RAMS.2006.1677371
