Accession Number : ADA136383

Title :   On the Fatou Inequality.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CA DEPT OF STATISTICS

Personal Author(s) : Dvoretzky,A

PDF Url : ADA136383

Report Date : Oct 1983

Pagination or Media Count : 29

Abstract : The classical Fatou inequality for non-negative measurable functions is intimately connected with problems of convergence of random variables (r.v.). The present paper focuses on the study of a modified form of the Fatou inequality which has important applications in the theory of convergence of r.v. We formulate our results in the language of probability.

Descriptors :   *Inequalities, Convergence, Random variables, Probability, Theorems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE