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Investigating the multimodality of multivariate data with principal curves
Multimodality Principal curves
2015/8/20
We propose a simple method to assess the number of subpopulations in multivariate data
by projecting the data on its principal curve and then applying Silverman’s bandwidth test
to the resulting uni...
Parametric estimation of the driving Lévy process of multivariate CARMA processes from discrete observations
Parametric estimation the driving Lévy process of multivariate CARMA processes discrete observations
2012/11/23
We consider the parametric estimation of the driving L\'evy process of a multivariate continuous-time autoregressive moving average (MCARMA) process, which is observed on the discrete time grid $(0,h,...
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 ...
Determination of maximum entropy multivariate probability distribution under some constraints
Entropy Maximum entropy principle Density estimation
2010/9/14
In this paper, the methods of obtaining maximum entropy bivariate distributions under the constraints, that one of the marginal distributions, both of marginals, or the marginals and correlation betwe...
The study of multivariate temporal data using PCA under linear constraints (PCA-LC)
PCA Rayleigh quotient linear constraints R-criteria
2010/9/10
PCA under Linear Constraints (PCA-LC) is a PCA in which we impose to the principal axis and components to belong to some sub-spaces. The Idea is to look for the principal axis and components by the op...
A family of multivariate Abel series distributions of order k
Multivariate Abel series distributions of order k quasi multivariate logarithmic series distribution of order k
2010/9/14
In this paper an attempt is made to define the multivariate abel series distributions (MASDs) of order k. From MASD of order k, a new distribution called the quasi multivariate logarithmic series dist...
Generalized Multivariate Jensen-Type Inequality
Convex functions Tchebycheff methods Jensen's inequality
2008/7/1
A multivariate Jensen-type inequality is generalized.
New Weighted Multivariate Grüss Type Inequalities
Multivariate Grüss type inequalities Discrete inequalities New estimates Differentiable function Partial derivatives Forward difference operators Mean value theorem
2008/6/30
In this paper we establish some new weighted multidimensional Grüss type integral and discrete inequalities by using a fairly elementary analysis.
Multivariate Version of a Jensen-Type Inequality
Convex functions Tchebycheff methods Jensen's inequality
2008/6/30
A univariate Jensen-type inequality is generalized to a multivariate setting.
On Multivariate Ostrowski Type Inequalities
Multivariate Ostrowski type inequalities Many independent variables $n$- fold integral
2008/6/30
In the present paper we establish new multivariate Ostrowski type inequalities by using a fairly elementary analysis.
The recursive fitting of multivariate complex subset ARX models
Recursion Learning Algorithm
2010/9/15
In this paper we propose an innovative recursive learning algorithm to sequentially estimate multivariate complex subset autoregressive models with exogenous variables (VARX models), including full-or...
The Average Widths and Non-linear Widths of the Classes of Multivariate Functions with Bounded Moduli of Smoothness
multivariate function classes average width non-linear width
2007/12/11
The classes of the multivariate functions with bounded moduli on R~d and T~d are given and their average σ-widths and non-linear n-widths are discussed. The weak asymptotic behaviors are established f...
ALMOST SURE CONVERGENCE OF THE STABLE TAIL EMPIRICAL DEPENDENCE FUNCTION IN MULTIVARIATE EXTREME STATISTICS
Multivariate extreme value s
2007/12/11
In this paper we prove the almost sure convergence of the stable tail empirical dependence function for multivariate extreme values.