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Conditions for bimodality and multimodality of a mixture of two unimodal densities. (English) Zbl 1165.62304
Summary: Conditions for bimodality of mixtures of two unimodal distributions are investigated in some special cases. Based on general characterizations, explicit criteria for the parameters are derived for mixtures of two Cauchy, logistic, Student, gamma, log-normal, Gumbel and other distributions.

MSC:
62E10 Characterization and structure theory of statistical distributions
60E05 Probability distributions: general theory
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References:
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