A GENERAL METHOD OF OBTAINING EXACT SAMPLING PROBABILITIES OF THE SHANNON-WIENER MEASURE OF INFORMATION, H

Abstract

A two-variable generating function was described which yielded the sampling probabilities of the Shannon-Wiener information measure. Expansion and collection of terms in like powers of the first variable imposed the restriction that the sum of the k category frequencies equal n; collection of terms in like powers of the second variable then produced terms whose coefficients were the required probabilities. Tables of thes probabilities were presented for the equiprobable case.

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Document Details

Document Type
Technical Report
Publication Date
Jun 07, 1963
Accession Number
AD0421157

Entities

People

  • James N. Cronholm

Organizations

  • United States Army Medical Research Laboratory

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Acquisition
  • Biomedical Research
  • Buildings And Structures
  • Coefficients
  • Continents
  • Equations
  • Frequency
  • Geographic Regions
  • Infinite Series
  • North America
  • Observation
  • Probability
  • Psychology
  • Sampling
  • Social Sciences
  • United States

Readers

  • Regression Analysis.
  • Statistical inference.