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arXiv · 1310.1549

On Lower bounds for variance and moments of unimodal distributions

R. Sharma·R. Bhandari·R. Saini
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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.

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R. Sharma, R. Bhandari, R. Saini. 2013-10-06. On Lower bounds for variance and moments of unimodal distributions. https://arxiv.org/abs/1310.1549

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