Applications of Duality and Stochastic Dominance in Reliability Theory,

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)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA118085

Entities

People

  • Michael Pinedo

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Assembly
  • Convolution
  • Distribution Functions
  • Intervals
  • Literature
  • Manufacturing
  • Military Research
  • Probability
  • Production
  • Random Variables
  • Reliability
  • Scheduling (Production)
  • Survival

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Operations Research
  • Regression Analysis.