搜索结果: 1-15 共查到“数学 C-concave”相关记录18条 . 查询时间(0.046 秒)
Discussion of ‘Maximum likelihood estimation of a multi-dimensional log-concave density’ by M. Cule, R. Samworth and M. Stewart
likelihood estimation multi-dimensional log-concave density
2015/8/20
I started looking at log-concave distributions when I was searching for an appropriate model
for subpopulations of multivariate flow cytometry data about ten years ago. The use of log-concave
...
Inference and Modeling with Log-concave Distributions
Log-concave Distributions Inference and Modeling
2015/8/20
Log-concave distributions are an attractive choice for modeling
and inference, for several reasons: The class of log-concave distributions contains most of the commonly used parametric distributions ...
Clustering with mixtures of log-concave distributions
EM algorithm Log-concave distribution Clustering Normal copula
2015/8/20
The EM algorithm is a popular tool for clustering observations via a parametric mixture model. Two disadvantages of this
approach are that its success depends on the appropriateness of the assumed pa...
Tail estimates for norms of sums of log-concave random vectors
log-concave random vectors concentration inequalities deviation inequalities random matrices
2011/9/15
Abstract: We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates for the nor...
On norm sub-additivity and super-additivity inequalities for concave and convex functions
Matrix Norm Inequality Positive Semidefinite Matrix Convex
2011/1/20
Sub-additive and super-additive inequalities for concave and convex functions have been generalized to the case of matrices by several authors over a period of time.These lead to some interesting ineq...
Concentration of the information in data with log-concave distributions
Concentration entropy log-concave distributions
2011/2/28
A concentration property of the functional −log f(X) is demonstrated,when a random vector X has a log-concave density f on Rn.This concentration property implies in particular an extension of th...
On the Fekete-Szegö problem for concave univalent functions
the Fekete-Szegö problem concave univalent functions
2010/11/22
We consider the Fekete-Szeg\"o problem with real parameter $\lambda$ for the class $Co(\alpha)$ of concave univalent functions.
Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner
Pattern Formation and Solitons (nlin.PS) Quantum Gases (cond-mat.quant-gas)
2010/11/10
The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave genera...
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Interpolating Thin-Shell Sharp Large-Deviation Estimates Isotropic Log-Concave Measures
2010/11/9
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...
Concave Majorants of Random Walks and Related Poisson Processes
Concave Majorants Related Poisson Processes
2010/11/19
We offer a unified approach to the theory of concave majorants of random walks by providing a path transformation for a walk of finite length that leaves the law of the walk unchanged whilst providin...
Arguments of zeros of highly log concave polynomials
Arguments of zeros highly log concave polynomials
2010/12/14
For a real polynomial p =Pn i=0 cixi with no negative coefficients and n ≥ 6, let β(p) = infn−1 i=1 c2i /ci+1ci−1 (so β(p) ≥ 1 entails that p is log concave). If β(p) > 1.45 . . . , then a...
Brown (1980, 1981) proved that the renewal function is concave if the inter-renewal istribution
is DFR (decreasing failure rate), and conjectured the converse. This note settles Brown’s conjecture wi...
Sequence Inequalities for the Logarithmic Convex (Concave) Function
Alzer’s inequality Kuang’s inequality Logarithmic convex Logarithmic concave
2008/11/25
Let f be a positive strictly increasing logarithmic convex (or logarithmic concave)
function on (0; 1], then, for k being a nonnegative integer and n a natural number,
the sequence 1
n Pn+k
i=k+1 ...
On an Inequality of V. Csiszár and T.F. Móri for Concave Functions of Two Variables
Diaz-Metcalf inequality Hö lder's inequality Hadamard's inequality Petrović 's inequality Giaccardi's inequality
2008/6/27
V. Csiszár and T.F. Móri gave an extension of Diaz-Metcalf's inequality for concave functions. In this paper, we show its restatement. As its applications we first give a reverse inequality of Hö...
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems
Integer programming separable concave programming
2010/9/15
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems is proposed, in which the lower bound of the optimal value was determined by solving linear programmi...