A GENERAL METHOD OF OBTAINING EXACT SAMPLING PROBABILITIES OF THE SHANNON-WIENER MEASURE OF INFORMATION, H
ARMY MEDICAL RESEARCH LAB FORT KNOX KY
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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.
- Statistics and Probability