Mean, Median, Mode III*

S. W. Dharmadhikari and K. Joag‐dev

Statistica Neerlandica, 1983, vol. 37, issue 4, 165-168

Abstract: Abstract Recently, Van Zwet (1979) has discussed several conditions under which the celebrated mean‐median‐mode inequality holds. This note points out that Van Zwet's basic condition and its variants have a simple interpretation in terms of a well‐known stochastic ordering. The results are slightly more general than Van Zwet's because the definition of unimodality used here (due to Khintchine) requires neither the existence of a density nor the uniqueness of the mode.

Date: 1983
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