Accession Number : ADA118085

Title :   Applications of Duality and Stochastic Dominance in Reliability Theory,

Corporate Author : GEORGIA INST OF TECH ATLANTA PRODUCTION AND DISTRIBUTION RESEARCH CENTER

Personal Author(s) : Pinedo,Michael

PDF Url : ADA118085

Report Date : Jan 1982

Pagination or Media Count : 22

Abstract : In this paper we discuss a notion which is the dual of the failure rate and is defined as f(t)/F(t). This concept has come up several times in the literature, but has never been investigated in detail. In this paper the name survival rate is used. We show that in many models of practical interest the survival rates of certain random variables have nice properties. This makes it possible to obtain bounds on the distribution functions of these random variables. Moreover, we show that a form of stochastic dominance based on the survival rates of the random variables has some interesting applications. (Author)

Descriptors :   *Random variables, *Reliability, *Distribution functions, *Stochastic processes, *Dual mode, Dominance models, Survival(General), Failure

Subject Categories : Statistics and Probability
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE