Families of Life Distributions Characterized by Two Moments

Abstract

The authors consider several classical notions of partial orderings among life distributions which have been used to describe aging properties, tail domination, etc. They show that if a distribution G dominates another distribution F in one of these partial orderings, and if two moments of G agree with those of F, including the moment that describes the partial ordering, the G = F. This leads to a characterization of the exponential distribution among HNBUE and HNWUE life distribution classes, and thus extends the results of Basu and Bhattacharjee (1984) and rectifies an error in that paper. Keywords: Non-negative random variables.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA201377

Entities

People

  • Jayaram Sethuraman
  • Manish C. Bhattacharjee

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Distribution Functions
  • Families (Human)
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Measure Theory
  • Military Research
  • New Jersey
  • Probability
  • Random Variables
  • Standards
  • Statistical Analysis
  • Statistics
  • Theorems
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.