Results 21 to 30 of about 6,495 (249)
Fractal and Fractional, 2022 The Poisson-stopped sum of the Hurwitz–Lerch zeta distribution is proposed as a model for interarrival times and rainfall depths. Theoretical properties and characterizations are investigated in comparison with other two models implemented to perform the
Carmelo Agnese +4 more
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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
Advances in Difference Equations, 2019 This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties.
Thanit Nanthanasub +2 more
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Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy
Entropy, 2022 This paper studies the properties of the derivatives of differential entropy H(Xt) in Costa’s entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for m≥1, (−1)m+1(dm/dtm)H(Xt)≥0, while McKean conjectured a stronger
Laigang Guo +2 more
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On the unimodality of independence polynomials of some graphs [PDF]
, 2010 In this paper we study unimodality problems for the independence polynomial of a graph, including unimodality, log-concavity and reality of zeros. We establish recurrence relations and give factorizations of independence polynomials for certain classes ...
Wang, Yi, Zhu, Bao-Xuan
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Coupling slope–area analysis, integral approach and statistic tests to steady-state bedrock river profile analysis [PDF]
Earth Surface Dynamics, 2017 Slope–area analysis and the integral approach have both been widely used in stream profile analysis. The former is better at identifying changes in concavity indices but produces stream power parameters with high uncertainties relative to the integral ...
Y. Wang +5 more
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Log-concavity and lower bounds for arithmetic circuits [PDF]
, 2015 One question that we investigate in this paper is, how can we build log-concave polynomials using sparse polynomials as building blocks? More precisely, let $f = \sum\_{i = 0}^d a\_i X^i \in \mathbb{R}^+[X]$ be a polynomial satisfying the log-concavity ...
DC Kurtz +9 more
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Log-concavity of the genus polynomials of Ringel Ladders
Electronic Journal of Graph Theory and Applications, 2015 A Ringel ladder can be formed by a self-bar-amalgamation operation on a symmetric ladder, that is, by joining the root vertices on its end-rungs. The present authors have previously derived criteria under which linear chains of copies of one or more ...
Jonathan L Gross +3 more
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$\ell$-restricted $Q$-systems and quantum affine algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Kuniba, Nakanishi, and Suzuki (1994) have formulated a general conjecture expressing the positive solution of an $\ell$-restricted $Q$-system in terms of quantum dimensions of Kirillov-Reshetikhin modules.
Anne-Sophie Gleitz
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On a ratio monotonicity conjecture of a new kind of numbers
Journal of Inequalities and Applications, 2018 It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W.
Brian Yi Sun
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Counterexamples to Okounkov’s log-concavity conjecture [PDF]
Compositio Mathematica, 2007 AbstractWe give counterexamples to Okounkov’s log-concavity conjecture for Littlewood–Richardson coefficients.
Chindris, Calin +2 more
openaire +2 more sources