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Logarithmically concave function

Known as: Log-concave function, Logconcave function 
In convex analysis, a non-negative function f : Rn → R+ is logarithmically concave (or log-concave for short) if its domain is a convex set, and if… 
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Related topics

Related topics

9 relations
Concave functionConvex functionConvex setConvolution

Broader (1)

Convex analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Generating functions for descents over permutations which avoid sets of consecutive patterns
We extend the reciprocity method of Jones and Remmel to study generating functions of the form $$\sum_{n \geq 0} \frac{t^n}{n… 
2011
2011
The log-concavity conjecture on semifree symplectic S^1-manifolds with isolated fixed points
Let $(M,\omega)$ be a closed $2n$-dimensional semifree Hamiltonian $S^1$-manifold with only isolated fixed points. We prove that… 
2011
2011
The area measure of log-concave functions and related inequalities
On the class of log-concave functions on $\R^n$, endowed with a suitable algebraic structure, we study the first variation of the… 
2011
2011
Regret Approach in Estimating Traffic Volume for a Congested Road with Unknown Inverse Demand Function
Traditional road supply models assume full knowledge of the inverse demand function, such that the supply-demand equilibrium… 
2010
2010
Log-concave measures
We study the log-concave measures, their characterization via the Pr\'ekopa-Leindler property and also define a subset of it… 
2008
2008
On the entropy and log-concavity of compound Poisson measures
Motivated, in part, by the desire to develop an information-theoretic foundation for compound Poisson approximation limit… 
2002
2002
A Note on the Ky Fan Inequality
The Ky Fan inequality is essentially the assertion that t/(1−t) is log-concave. We study its weighted form in the context of… 
2002
2002
Log-concavity and compressed ideals in certain Macaulay posets
2001
2001
A Bayesian Partition Model for Customer Attrition
This paper presents a nonlinear Bayesian model for covariates in a survival model with a surviving fraction. The work is a… 
2001
2001
Scale-Time Kernels and Models
Receptive field sensitivity profiles of visual front-end cells in the LGN and V1 area in intact animals can be measured with… 
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