Concepedia

Mixtures with a Limited Number of Modal Intervals

J. H. B. Kemperman

The Annals of Statistics · 1991 · 24 citations · 8 references

DOI

Concepts

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.

References

8

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Bruce G. Lindsay, D. M. Titterington, A. F. M. Smith et al. · Journal of the American Statistical Association · 1987 · 3K citations

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Tchebycheff Systems: With Applications in Analysis and Statistics

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On the Composition of Unimodal Distributions

Theory of Probability and Its Applications · 1956 · 323 citations

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Interval Orders and Interval Graphs: A Study of Partially Ordered Sets.

R. R. Laxton, P. C. Fishburn · Journal of the Royal Statistical Society Series A (General) · 1985 · 239 citations

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Some Results for Discrete Unimodality

Julian Keilson, Hans U. Gerber · Journal of the American Statistical Association · 1971 · 206 citations

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