ON CONVEXITY PRESERVING FAMILIES OF PROBABILITY DISTRIBUTIONS

Abstract

Convexity preserving properties of certain totally positive density functions are shown to hold under weaker restrictions. These results generalize work of Karlin (1963) and Karlin and Proschan (1960) concerning convexity preserving transformations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0664951

Entities

People

  • Willem R. Van Zwet

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • California
  • Classification
  • Contractors
  • Contracts
  • Distribution Functions
  • Inequalities
  • Intervals
  • Military Research
  • Operations Research
  • Polynomials
  • Probability
  • Probability Distribution Functions
  • Probability Distributions
  • Random Variables
  • Stochastic Processes
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.