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 (k-1) (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