Title :
Evaluation of Pr {x⩾y} When Both X and Y are from Three-Parameter Weibull Distributions
Author :
Brown, Gerald G. ; Rutemiller, Herbert C.
Author_Institution :
Department of Quantitative Methods, California State University, Fullerton, Calif. 92631.
fDate :
6/1/1973 12:00:00 AM
Abstract :
It is important in many reliability applications to determine the probability that the failure time of an element from one population will exceed that of an element from a second population. In this paper, we present a method for computer calculations of Pr {x ⩾ y} where X and Y are each from a three-parameter Weibull distribution. In addition, we provide the moments and the probability density function of the difference. Numerical examples are included.
Keywords :
Application software; Fatigue; Interference; Iron alloys; Parameter estimation; Probability density function; Programming; Random variables; Reliability theory; Weibull distribution;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1973.5216038
