On unimodality problems in Pascal's triangle.

Su, Xun-Tuan; Wang, Yi

Displaying similar documents to “On unimodality problems in Pascal's triangle.”

Unimodality problems of multinomial coefficients and symmetric functions.

Su, Xun-Tuan, Wang, Yi, Yeh, Yeong-Nan (2011)

The Electronic Journal of Combinatorics [electronic only]

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Preservation of log-concavity on summation

Oliver Johnson, Christina Goldschmidt (2006)

ESAIM: Probability and Statistics

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We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still holds for dependent variables. We argue that these conditions are natural by giving some applications. Firstly, we use our main theorem to give simple proofs of the log-concavity of the Stirling numbers of the second kind and of the Eulerian numbers. Secondly, we prove results concerning the log-concavity of...