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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2011, Volume : 30e, Issue : 1
First page : ( 135) Last page : ( 144)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

Some optimization problems related with inequalities between the moments

Sharma P.L., Sharma R.

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.

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Keywords

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

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