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Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Generalized modified least squares in the univariate linear model
Ordinary least squares Modified least squares Generalized modified least squares Univariate linear model
2011/11/9
In this short paper, we mainly aim to appeal to readers to pay close attention to the criterion of modified least squares and develop it to generalized modified least squares. The closed-form of the g...
Estimating Extremal Dependence in Univariate and Multivariate Time Series via the Extremogram
Extremogram extremal dependence stationary bootstrap financial time series
2011/10/9
Abstract: Davis and Mikosch [7] introduced the extremogram as a flexible quantitative tool for measuring various types of extremal dependence in a stationary time series. There we showed some standard...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/9/21
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
A study of the uniform accuracy of univariate thin plate spline interpolation
plate spline interpolation Numerical Analysis
2011/9/16
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...
On simulating univariate and multivariate Burr type III and type XII distributions
Distribution tting Moments Monte Carlo
2010/9/26
This paper describes a method for simulating univariate and multivariate Burr Type III and Type XII distributions with speci ed correlation matrices. The methodology is based on the derivation of the ...
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation
Zero-dimensional polynomial system linear univariate representation local generic position root isolation
2013/9/9
In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinat...
UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...