SOME BOUNDS FOR THE n-FOLD CONVOLUTION OF CONCAVE AND LOG-CONCAVE DISTRIBUTION FUNCTIONS | Zendy

Halil Aydoğdu | Zendy

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SOME BOUNDS FOR THE n-FOLD CONVOLUTION OF CONCAVE AND LOG-CONCAVE DISTRIBUTION FUNCTIONS

Author(s) -

Halil Aydoğdu

Publication year - 1999

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000186

Subject(s) - mathematics , concave function , convolution (computer science) , combinatorics , distribution (mathematics) , fold (higher order function) , transformation (genetics) , function (biology) , mathematical analysis , geometry , computer science , regular polygon , chemistry , biochemistry , machine learning , evolutionary biology , biology , artificial neural network , gene , programming language

In general it is impossible to obtain analytical expressions for the n-fold convolution F n of a distribution function F. Existence of bounds for F n is of great value. In this study some bounds for F n are given with the help of the probability integral transformation when F is concave or log-concave.

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