# The Mean, Median, and Mode of Unimodal Distributions:A Characterization

@article{Basu1997TheMM, title={The Mean, Median, and Mode of Unimodal Distributions:A Characterization}, author={S. Basu and A. Dasgupta}, journal={Theory of Probability and Its Applications}, year={1997}, volume={41}, pages={210-223} }

For a unimodal distribution on the real line, the celebrated mean-median-mode inequality states that they often occur in an alphabetical (or its reverse) order. Various sufficient conditions for th...

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##### Publications referenced by this paper.

SHOWING 1-10 OF 17 REFERENCES

## The Mode, Median, and Mean Inequality

VIEW 3 EXCERPTS

## Unimodality, convexity, and applications

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## A generalized unimodality

VIEW 2 EXCERPTS