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Extensions of Gauss Quadrature via Linear Programming
Gauss quadrature Semi-infi nite programming Convex optimization
2015/7/9
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
Variations and Extensions of the Convex-Concave Procedure
Variations Extensions Convex-Concave Procedure
2015/7/9
We investigate the convex-concave procedure (CCP), a local heuristic that utilizes the tools of convex optimization to find local optima of difference of convex (DC) programming problems. The class of...
Finitely ramified iterated extensions
K number field parameter Galois group iterative single value group
2014/12/25
Let K be a number field, t a parameter, F = K(t), and φ(x)∈ K [x] a polynomial of degree d ≥ 2. The polynomial Φn(x,t) = φ^n (x) − t ∈ F[x], where φ^ n = φ ^ φ ^ … ^ φ is the n-fold iterate of φ...
Review of: Mixed Effects Models and Extensions in Ecology with R
Mixed Effects Models Extensions in Ecology R
2013/6/14
This is a review of the book "Mixed Effects Models and Extensions in Ecology with R" by Zuur, Ieno, Walker, Saveliev and Smith (2009, Springer). I was asked to review this book for The American Statis...
Fast MCMC sampling for Markov jump processes and extensions
Markov jump process uniformization MCMC Gibbs sampler Markov-modulated Poisson process continuous-time Bayesian network
2012/9/17
Markov jump processes (or continuous-time Markov chains) are a simple and important class of continuous-time dynamical systems. In this paper, we tackle the problem of simu-lating from the posterior d...
Inverse Modeling of Dynamical Systems: Multi-Dimensional Extensions of a Stochastic Switching Problem
Inverse Modeling of Dynamical Systems Multi-Dimensional Extensions Stochastic Switching Problem
2012/9/18
The Buridan's ass paradox is characterized by perpetual indecision between two states, which are never attained. When this problem is formulated as a dynamical
system, indecision is modeled by a disc...
Jacobians of singular matrix transformations: Extensions
Jacobians Hausdorff measure real, complex, quaternion and octonion singular random ma-trices real normed division algebras.
2012/9/19
This article presents a unified approach to simultaneously compute the Jacobians of several singular matrix transformations in the real, complex, quaternion and octonion cases. Formally, these Jacobia...
Extensions of Chebychev's inequality with applications
Extensions Chebychev's inequality applications
2009/9/23
Extensions of Chebychev's inequality with applications。
Filmtiem with the property that every stopghg t h e
is predictabIs: are of some imporbce In slochnstic analysis, esp~ially
in mnnection with the Girsanov tran.slormaXion (ef. a.g. Chuag aad
wrillia...
The purpose of this paper is to investigate the extension
problem for the category of commutative hypergroups. In fact, by
applying the new notion of a fidd of compact subhypergoups, sufficiently
m...
Extensions of smoothing via taut strings
conditional means conditional quantiles modality penalization uniform consistency total variation tube method
2009/9/16
Suppose that we observe independent random pairs $(X_1,Y_1)$, $(X_2,Y_2)$, ..., $(X_n,Y_n)$. Our goal is to estimate regression functions such as the conditional mean or $beta$--quantile of $Y$ given ...
Some Extensions of an Inequality of Vapnik and Chervonenkis
Concentration of measure empirical processes
2009/4/29
The inequality of Vapnik and Chervonenkis controls the expectation of the function by its sample
average uniformly over a VC-major class of functions taking into account the size of the expectation...
On the Existence of Recurrent Extensions of Self-similar Markov Processes
self-similar semi-stable Lamperti transformation recurrent extension
2009/4/23
Let X = (Xt)t ≥ 0 be a self-similar Markov process with values in the non-negative half-line, such that the state 0 is a trap. We present a necessary and sufficient condition for the existence of a se...
On the Existence of Recurrent Extensions of Self-similar Markov Processes
Self-similar Markov Processes self-similar recurrent extension
2009/4/2
Let X = (Xt)t ≥ 0 be a self-similar Markov process with values in the non-negative half-line, such that the state 0 is a trap. We present a necessary and sufficient condition for the existence of a se...
Some Extensions of Fractional Brownian Motion and Sub-Fractional Brownian Motion Related to Particle Systems
self-similar long-range dependence Gaussian processes Brownian Motion
2009/3/27
In this paper we study three self-similar, long-range dependence, Gaussian processes. The first one, with covariance ∫0min(s,t) ua [(t-u)b+(s-u)b]du,parameters a > -1, -1 < b ≤ 1, |b| ≤ 1 + a, corresp...