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On Lower bounds for variance and moments of unimodal distributions

Research paper by R. Sharma, R. Bhandari, R. Saini

Indexed on: 06 Oct '13Published on: 06 Oct '13Published in: Mathematics - Statistics



Abstract

We provide an elementary proof of the lower bound for the variance of continuous unimodal distributions and obtain analogous bounds for the higher order central moments. A lower bound for the rth central moment of discrete distribution is given and compared favorably with a related bound for discrete unimodal distribution in literature.