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Mixtures with a Limited Number of Modal Intervals

1991; Institute of Mathematical Statistics; Volume: 19; Issue: 4 Linguagem: Inglês

10.1214/aos/1176348389

2168-8966

J. H. B. Kemperman,

Mathematical Dynamics and Fractals

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.