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Approximating multivariate distributions with vines [PDF]

open access: yes, 2010
In a series of papers, Bedford and Cooke used vine (or pair-copulae) as a graphical tool for representing complex high dimensional distributions in terms of bivariate and conditional bivariate distributions or copulae.
Daneshkhah, Alireza   +3 more
core   +8 more sources

Checkerboard copula defined by sums of random variables

open access: yesDependence Modeling, 2020
We consider the problem of finding checkerboard copulas for modeling multivariate distributions. A checkerboard copula is a distribution with a corresponding density defined almost everywhere by a step function on an m-uniform subdivision of the unit ...
Kuzmenko Viktor   +2 more
doaj   +1 more source

Multivariate Asymmetric Distributions of Copula Related Random Variables

open access: yesAustrian Journal of Statistics, 2023
It is known that normal distribution plays an important role in analysing symmetric data. However, this symmetric assumption may not hold in many real word and in such cases, asymmetric distribution, including skew normal distribution, are known as ...
Ayyub Sheikhi   +2 more
doaj   +1 more source

Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data

open access: yesMathematics, 2020
In the present paper, a novel spatial quantile regression model based on the Birnbaum–Saunders distribution is formulated. This distribution has been widely studied and applied in many fields.
Luis Sánchez   +3 more
doaj   +1 more source

Transfer Entropy Expressions for a Class of Non-Gaussian Distributions

open access: yesEntropy, 2014
Transfer entropy is a frequently employed measure of conditional co-dependence in non-parametric analysis of Granger causality. In this paper, we derive analytical expressions for transfer entropy for the multivariate exponential, logistic, Pareto (type ...
Mehrdad Jafari-Mamaghani, Joanna Tyrcha
doaj   +1 more source

Multivariate Scale-Mixed Stable Distributions and Related Limit Theorems

open access: yesMathematics, 2020
In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate stable distributions. Multivariate analogs of the Mittag–Leffler distribution are introduced.
Yury Khokhlov   +2 more
doaj   +1 more source

U-Statistic for Multivariate Stable Distributions

open access: yesJournal of Probability and Statistics, 2017
A U-statistic for the tail index of a multivariate stable random vector is given as an extension of the univariate case introduced by Fan (2006). Asymptotic normality and consistency of the proposed U-statistic for the tail index are proved theoretically.
Mahdi Teimouri   +2 more
doaj   +1 more source

A new extreme value copula and new families of univariate distributions based on Freund’s exponential model

open access: yesDependence Modeling, 2020
The use of the exponential distribution and its multivariate generalizations is extremely popular in lifetime modeling. Freund’s bivariate exponential model (1961) is based on the idea that the remaining lifetime of any entity in a bivariate system is ...
Guzmics Sándor, Pflug Georg Ch.
doaj   +1 more source

Multivariate Classes of GB2 Distributions with Applications

open access: yesMathematics, 2020
The general beta of the second kind distribution (GB2) is a flexible distribution which includes several relevant parametric families of distributions.
José María Sarabia   +3 more
doaj   +1 more source

On Uniform and α-Monotone Discrete Distributions

open access: yesRevstat Statistical Journal, 2022
In this partly expository article, I am concerned with some simple yet fundamental aspects of discrete distributions that are either uniform or have α-monotone probability mass functions. In the univariate case, building on work of F.W.
M.C. Jones
doaj   +1 more source

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