Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2011
  • Volume: 30e
  • Issue: 1

Some optimization problems related with inequalities between the moments

  • Author:
  • P.L. Sharma, R. Sharma
  • Total Page Count: 10
  • Page Number: 135 to 144

Department of Mathematics, H.P. University, Shimla-171005

Online published on 22 February, 2013.

Abstract

We use techniques of linear programming to give alternative proofs of the inequalities between the moments of the discrete uniform distributions. In this context we also discuss the variance bounds such as Samuelson’s and Brunk’s inequalities.

Keywords

Cauchy’s inequality, moments, variance, Lagrangean function, discrete distributions