We derive necessary and sufficient conditions in order that each mixture of a given family of probability densities have no more than $s$ modal intervals, with special attention to ordinary unimodality and strong unimodality of such mixtures.
@article{1176348389,
author = {Kemperman, J. H. B.},
title = {Mixtures with a Limited Number of Modal Intervals},
journal = {Ann. Statist.},
volume = {19},
number = {1},
year = {1991},
pages = { 2120-2144},
language = {en},
url = {http://dml.mathdoc.fr/item/1176348389}
}
Kemperman, J. H. B. Mixtures with a Limited Number of Modal Intervals. Ann. Statist., Tome 19 (1991) no. 1, pp. 2120-2144. http://gdmltest.u-ga.fr/item/1176348389/