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
AD0603538

Entities

People

  • A. W. Marshall
  • R. E. Barlow

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Buildings And Structures
  • California
  • Continuity
  • Crossings
  • Discrete Distribution
  • Frequency
  • Inequalities
  • Intervals
  • Materials
  • Mathematics
  • Military Research
  • Monotone Functions
  • Queueing Theory
  • Scientific Research
  • Sharpness
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.