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Log-concave probability and its applications

โœ Scribed by Mark Bagnoli; Ted Bergstrom

Publisher
Springer
Year
2005
Tongue
English
Weight
208 KB
Volume
26
Category
Article
ISSN
0938-2259

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๐Ÿ“œ SIMILAR VOLUMES

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Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log-concave distributions and the subclass of concave distributions. The work

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The log-concavity of the reduction multiplicities for the classical groups of type A n , B n , C n is proved, moreover the skew Schur functions s \*ร‚+ are shown to be logconcave coefficient by coefficient. The results are applied to the calculation of the characters of the infinite-dimensional class

Log-Concavity and the Exponential Formul
Log-Concavity and the Exponential Formula
โœ Ernesto Schirmacher ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 103 KB

A 1996 result of Bender and Canfield showed that passing a log-concave sequence through the exponential formula resulted in a log-concave sequence which was almost log-convex. We generalize that result to q log-concavity. Our proof follows Bender and Canfield for one part. For the other part, we use