Characterization of Partially Ordered Classes of Life Distributions.

Abstract

In this paper we obtain characterizations of life distributions F such that 1/G(F) is convex (concave) and alternatively 1/G(F) is starshaped (antishaped), where G is an absolutely continuous life distribution with positive, bounded, right continuous density. These characterizations generalize earlier results for the IFR(DFR) and IFRA(DFRA) classes, and should prove useful in unifying the study of the class distributions with decreasing density, comparing Weibull (Gamma) distributions with different shape parameters, etc. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA064821

Entities

People

  • Frank Proschan
  • Naftali A. Langberg
  • Ramon V. Leon

Organizations

  • Florida State University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Air Force
  • Data Analysis
  • Data Science
  • Environmental Health
  • Information Science
  • Intervals
  • New York
  • Numbers
  • Order Statistics
  • Probability
  • Random Variables
  • Real Numbers
  • Scientific Research
  • Sequences
  • Statistical Inference
  • Statistics
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Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Graph Algorithms and Convex Optimization.
  • Structural Health Monitoring of Composite Structures.