If you need an accessible version of this item please contact JSTOR User Support

Elementary Entropy Maximizing Probability Distributions: Analysis and Interpretation

M. J. Webber
Economic Geography
Vol. 52, No. 3 (Jul., 1976), pp. 218-227
Published by: Clark University
DOI: 10.2307/143269
Stable URL: http://www.jstor.org/stable/143269
Page Count: 10
  • Download PDF
  • Cite this Item

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support
Elementary Entropy Maximizing Probability Distributions: Analysis and Interpretation
Preview not available

Abstract

This paper presents complete solutions to some entropy maximizing problems. It is required to estimate the probability pi that some item falls in class i where there is associated with each class a measure xi. The distribution of probabilities is such as to maximize entropy. The paper presents methods of determining the Lagrangian multipliers which arise in the maximization process and of estimating the parameters of the resulting probability distributions. After discussing the general methods of solving such questions, three problems are considered in detail: the case in which it is known only that the sum of the probabilities over the classes equals unity; the case in which, in addition, the mean value of the variable x is known; and the case in which the sum of the probabilities and the variance of x are known. These problems are interpreted in terms of geographic results.

Page Thumbnails

  • Thumbnail: Page 
[218]
    [218]
  • Thumbnail: Page 
219
    219
  • Thumbnail: Page 
220
    220
  • Thumbnail: Page 
221
    221
  • Thumbnail: Page 
222
    222
  • Thumbnail: Page 
223
    223
  • Thumbnail: Page 
224
    224
  • Thumbnail: Page 
225
    225
  • Thumbnail: Page 
226
    226
  • Thumbnail: Page 
227
    227