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Log-Concave Functions And Poset Probabilities

✍ Scribed by Jeff Kahn; Yang Yu

Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
266 KB
Volume
18
Category
Article
ISSN
0209-9683

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πŸ“œ SIMILAR VOLUMES

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Estimates for the average value of a concave function are called Hadamard inequalities. If Lebesgue measure is replaced by a (signed) measure then it is still possible to get interesting and sharp inequalities. Here we extend these inequalities to log-concave functions.

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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