An Upper Bound on the Probability Density Function in Terms of Fisher Information. A Bound to the Density Function.

Abstract

An inequality for members of a Sobolev space of order one is demonstrated and as a corollary an upper bound, in terms of the Fisher information, is derived for a density function. Also two characterizations of the Laplace and the exponential distribution are indicated. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1981
Accession Number
ADA104474

Entities

People

  • V. K. Klonias

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Data Science
  • Functional Analysis
  • Hilbert Space
  • Inequalities
  • Information Science
  • Intervals
  • Mathematical Analysis
  • Military Research
  • New York
  • Probability
  • Probability Density Functions
  • Statistics
  • Time Series Analysis
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • Space