Title :
Moments in Terms of the Mean Residual Life Function
Author :
Gupta, Ramesh C.
Author_Institution :
Department of Mathematics; University of Maine; Orono, Maine 04469 USA.
Abstract :
In reliability studies, the mean additional life time, given that a component has survived until time t, is called the mean residual life function (MRLF). This MRLF determines the distribution function uniquely. In this paper a method of obtaining the moments in terms of the MRLF, by employing a result in the context of renewal theory, is developed. The method is illustrated by an example.
Keywords :
Distribution functions; Hazards; Life testing; Probability; Random variables; Reliability theory; Statistics; Weibull distribution; Failure rate; Mean residual life function; Moments;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1981.5221164