Accession Number : ADA133760

Title :   The Gauss-Tchebyshev Inequality for Unimodal Distributions.

Descriptive Note : Annual rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Dharmadhikari,S W ; Joag-dev,Kumar

PDF Url : ADA133760

Report Date : Jun 1983

Pagination or Media Count : 16

Abstract : Document describes The-Gauss-Tchebyshev Inequality for Unimodal Distributions. The determination of a value improves and extends a recent result of Vysochanskii and Petunin who have only considered the case r = 2 with a higher value for k2. The proof is also considerably simpler because it uses the convex structure of the class of unimodal distributions.

Descriptors :   *Distribution functions, *Inequalities, Markov processes, Random variables, Value, Convex sets, Points(Mathematics)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE