Accession Number : AD0668978

Title :   MORE ON A CHEBYSHEV-TYPE INEQUALITY FOR SUMS OF INDEPENDENT RANDOM VARIABLES,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Samuels,S. M.

Report Date : APR 1968

Pagination or Media Count : 22

Abstract : The paper deals with the same problem and the same conjectured solution to it which was considered in Samuels (Ann. of Math. Statistics, 1966). Section 2 contains a restatement of the problem. Section 3 contains a simpler proof of the conjecture for n = or < 3 and, for the first time, a proof for n = 4. Section 4 contains what is essentially a simpler proof of Theorem 5.1 of Samuels (Ann. of Math. Statistics, 1966). Section 5 contains proof that the conjecture is true for large lambda. (Author)

Descriptors :   (*INEQUALITIES, RANDOM VARIABLES), SEQUENCES(MATHEMATICS), OPTIMIZATION, SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE