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

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0668978

Entities

People

  • S. M. Samuels

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • California
  • Cooperation
  • Data Science
  • Inequalities
  • Information Science
  • Mathematics
  • Random Variables
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.