Ultra Logconcave Sequences and Negative Dependence
Copyright policy )Ultra Logconcave Sequences and Negative Dependence
A conjecture by Pemantle, that the convolution of ultra-logconcave sequences is ultra-logconcave, is proved. This is equivalent to the statement, that a suitable negative dependence property is preserved under the operation of sampling uniformly without replacement from two finite exchangeable Bernoulli sequences.
- University of California, San Francisco United States
- University of California, Los Angeles United States
- University of California Los Angeles United States
- University of California United States
- University of California United States
ultra-logconcave sequence, Combinatorial probability, Special processes, Measures of association (correlation, canonical correlation, etc.), Computational Theory and Mathematics, Binomial coefficients; factorials; \(q\)-identities, Discrete Mathematics and Combinatorics, Probability distributions: general theory, negative dependence, Combinatorial identities, bijective combinatorics, Theoretical Computer Science
ultra-logconcave sequence, Combinatorial probability, Special processes, Measures of association (correlation, canonical correlation, etc.), Computational Theory and Mathematics, Binomial coefficients; factorials; \(q\)-identities, Discrete Mathematics and Combinatorics, Probability distributions: general theory, negative dependence, Combinatorial identities, bijective combinatorics, Theoretical Computer Science
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