The Extreme Points of the Set of Decreasing Failure Rate Distributions.

Abstract

Since the class of extended decreasing failure rate (EDFR) life distributions (i.e., distributions with support in (0, infinity)) is compact and convex, it follows from Choquet's Theorem that every EDFR life distribution can be represented as a mixture of extreme points of the EDFR class. We identify the extreme points of this class and of the standard class of decreasing failure rate (DFR) life distributions. Further, we show that even though the convex class of DFR life distributions is not compact, every DFR life distribution can be represented as a mixture of extreme points of the DFR class. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1979
Accession Number
ADA078774

Entities

People

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

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Computing-Related Activities
  • Convergence
  • Convex Sets
  • Data Science
  • Distribution Functions
  • Information Science
  • Intervals
  • Mathematical Analysis
  • Probability
  • Reliability
  • Scientific Research
  • Statistics
  • Theorems
  • Topology
  • Weak Convergence

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  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.