Titlebook: Unimodality of Probability Measures; Emile M. J. Bertin,Ioan Cuculescu,Radu Theodorescu Book 1997 Springer Science+Business Media Dordrech

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CRAFT

,Khinchin’s classical unimodality,.1) and concentration function (Section 4.2). We also briefly discuss location, dispersion, order, and skewness in terms of the mode (Subsection 4.2.3). Finally, preserving unimodality by mixing is examined in Section 4.3.

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Khinchin structures,ibution function. The variable . (or . or .) is said to be unimodal with . (or .) at (or about) . (or . at .), if . is convex on (-∞, .) and concave on (., ∞). Throughout the remainder of this monograph, when referring to unimodality, we shall switch freely between random variable, distribution, pro

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Concepts of unimodality,odality on a Hilbert space ., in the form of a standard Khinchin space (., Φ) with an action . on it, called .. A special case of beta unimodality is the multivariate Olshen and Savage [OS70] concept. Another case covered by this concept is the notion of ., introduced by Pestana [Pes80b] and which i

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Strong unimodality,ov [Ibr56], who introduced the notion of strong unimodality for probability measures on .. At the same time he indicated the tight relationship between this concept and that of logconcavity of probability density functions.

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