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Mean, Median, Mode III *
Author(s) -
Dharmadhikari S. W.,
Joagdev K.
Publication year - 1983
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1983.tb00811.x
Subject(s) - unimodality , mathematics , uniqueness , mode (computer interface) , simple (philosophy) , interpretation (philosophy) , combinatorics , statistical physics , mathematical analysis , statistics , pure mathematics , calculus (dental) , physics , computer science , philosophy , epistemology , programming language , operating system , medicine , dentistry
Recently, V an Z wet (1979) has discussed several conditions under which the celebrated mean‐median‐mode inequality holds. This note points out that V an Z wet'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 V an Z wet's because the definition of unimodality used here (due to K hintchine ) requires neither the existence of a density nor the uniqueness of the mode.