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Logarithmic Concavity of Distribution Functions

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 430))

Abstract

We give sufficient conditions for a probability distribution function to be logarithmically concave. The limiting behaviour of corresponding inequalities is discussed.

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References

  1. E. Artin, The Gamma Function, Holt, Rinehart and Winston, New York, 1964 [Translation from the German original from 1931].

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  4. M. Merkle and Lj. Petrovic, On Schur-convexity of some distribution functions, Publ. Inst. Math. 56 (70) (1994), 111–118.

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  5. D. S. Mitrinović, Analytic Inequalities, Springer Verlag, Berlin — Heidelberg — New York, 1970.

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© 1998 Springer Science+Business Media New York

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Merkle, M. (1998). Logarithmic Concavity of Distribution Functions. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_30

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  • DOI: https://doi.org/10.1007/978-94-015-9086-0_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4945-2

  • Online ISBN: 978-94-015-9086-0

  • eBook Packages: Springer Book Archive

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