Accession Number : AD0714273

Title :   On the Maximum Likelihood Estimate of Cell Probabilities.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Olshen,Richard ; Siegmund,David

Report Date : 31 AUG 1970

Pagination or Media Count : 12

Abstract : The paper contains a study of the law of the iterated logarithm for differences between empirical frequencies and true cell probabilities when there are a countable number of cells. It is shown that upper and lower classes for the normalized maximum of the absolute differences are precisely those for (the normalized absolute differences for) a cell whose probability is closest to 1/2. (Author)

Descriptors :   (*PROBABILITY, DECISION THEORY), TRANSCENDENTAL FUNCTIONS, RANDOM VARIABLES, SEQUENCES(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE