Accession Number : AD0665779

Title :   MONOTONE CONVERGENCE OF BINOMIAL PROBABILITIES AND A GENERALIZATION OF RAMANUJAN'S EQUATION,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Jogdeo,Kumar ; Samuels,S. M.

Report Date : FEB 1968

Pagination or Media Count : 13

Abstract : The paper contains two basic theorems which generalize results of Anderson and Samuels (1967) and Jogdeo (1967). These two theorems serve as lemmas for the more detailed results of Sections 3 and 4. Section 3 is devoted to a study of the median number of successes in Poisson trials (i.e. independent trials where the success probability may vary from trial to trial). The study utilizes a method first introduced by Tchebychev (1846), generalized by Hoeffding (1956) and used by Darroch (1964) and Samuels (1965). The results correspond to those for the modal number of successes obtained by Darroch (1964). (Author)

Descriptors :   (*PROBABILITY, THEOREMS), BINOMIALS, SEQUENCES(MATHEMATICS), INEQUALITIES, EXPONENTIAL FUNCTIONS, STATISTICAL PROCESSES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE