Mixtures with a Limited Number of Modal Intervals

J. H. B. Kemperman

doi:10.1214/aos/1176348389

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Home > Journals > Ann. Statist. > Volume 19 > Issue 4 > Article

December, 1991 Mixtures with a Limited Number of Modal Intervals

J. H. B. Kemperman

Ann. Statist. 19(4): 2120-2144 (December, 1991). DOI: 10.1214/aos/1176348389

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Abstract

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.

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J. H. B. Kemperman. "Mixtures with a Limited Number of Modal Intervals." Ann. Statist. 19 (4) 2120 - 2144, December, 1991. https://doi.org/10.1214/aos/1176348389