
Accession Number : AD0661663
Title : FAILURE DISTRIBUTIONS WITH DECREASING MEAN RESIDUAL LIFE.
Descriptive Note : Professional paper,
Corporate Author : SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF
Personal Author(s) : Murthy,Vrudhula K. ; Uppuluri,V. R. Rao
Report Date : 10 OCT 1967
Pagination or Media Count : 24
Abstract : It is well known that the class of distributions with decreasing mean residual life (DMR) contains the class of distributions with increasing hazard rate (IHR). The study of DMR distributions has received little attention in the literature. Starting with a random variable T > 0, which has all its moments, and with distribution function F sub 0 (x), we can construct a sequence of distribution functions with the following properties: (1) F sub o (x) is DMR implies that F sub k (x) is DMR, k=1,2,... . (2) F sub 0 (x) is DMR implies that F sub k (x) converges either to a singular distribution or to an exponential distribution. (3) The members of the sequence (F sub k (x)) are all identically exponentially distributed if and only if for some k = or > 1, F sub k (t) = F sub (k1) (t). (Author)
Descriptors : (*DISTRIBUTION FUNCTIONS, THEOREMS), PROBABILITY DENSITY FUNCTIONS, INEQUALITIES, RANDOM VARIABLES, SEQUENCES(MATHEMATICS), EXPONENTIAL FUNCTIONS, CONVERGENCE
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE