BOUNDS ON DENSITIES AND HAZARD RATES

Abstract

Sharp upper and lower bounds are derived for hazard rates and densities of distributions with monotone hazard rate. These bounds are related to Chebyshev inequalities in that they are obtained under the condition that certain moments are known. Similar bounds are also obtained when the density is a Polya frequency function of order two.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0600973

Entities

People

  • A. W. Marshall
  • R. E. Barlow

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • California
  • Continuity
  • Crossings
  • Discrete Distribution
  • Frequency
  • Inequalities
  • Intervals
  • Mathematics
  • Military Research
  • Monotone Functions
  • New York
  • Operations Research
  • Probability
  • Scientific Research
  • Sharpness
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.
  • Hydrologic Risk Analysis and Mitigation.