Results 1 to 10 of about 162 (71)

A topological proof of Sklar’s theorem in arbitrary dimensions

open access: yesDependence Modeling, 2022
Copulas are appealing tools in multivariate probability theory and statistics. Nevertheless, the transfer of this concept to infinite dimensions entails some nontrivial topological and functional analytic issues, making a deeper theoretical understanding
Benth Fred Espen   +2 more
doaj   +2 more sources

A link between Kendall’s τ, the length measure and the surface of bivariate copulas, and a consequence to copulas with self-similar support

open access: yesDependence Modeling, 2023
Working with shuffles, we establish a close link between Kendall’s τ\tau , the so-called length measure, and the surface area of bivariate copulas and derive some consequences.
Sánchez Juan Fernández   +1 more
doaj   +1 more source

A nonparametric test for comparing survival functions based on restricted distance correlation

open access: yesDependence Modeling, 2023
In this article, we propose an omnibus test for comparing two survival functions under non-proportional hazards. The test statistic is based on a product-limit estimate of the restricted distance correlation, which is closely related to the L2{L}_{2 ...
Zhang Qingyang
doaj   +1 more source

Polynomial bivariate copulas of degree five: characterization and some particular inequalities

open access: yesDependence Modeling, 2021
Bivariate polynomial copulas of degree 5 (containing the family of Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets (a, b, c), i.e., to some set of polynomials in two variables of degree 1: p(
Šeliga Adam   +5 more
doaj   +1 more source

On the existence of the weighted bridge penalized Gaussian likelihood precision matrix estimator [PDF]

open access: yes, 2014
We establish a necessary and sufficient condition for the existence of the precision matrix estimator obtained by minimizing the negative Gaussian log-likelihood plus a weighted bridge penalty.
Forzani, Liliana Maria, Rothman, Adam J.
core   +4 more sources

Weighted Entropic Copula from Preliminary Knowledge of Dependence

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
This paper introduces a weighted entropic copula from preliminary knowledge of dependence. Considering a copula with common distribution we formulate the weighted entropy dependence model (WMEC).
Panait Ioana
doaj   +1 more source

Generalized resolution for orthogonal arrays [PDF]

open access: yes, 2014
The generalized word length pattern of an orthogonal array allows a ranking of orthogonal arrays in terms of the generalized minimum aberration criterion (Xu and Wu [Ann. Statist. 29 (2001) 1066-1077]).
Grömping, Ulrike, Xu, Hongquan
core   +1 more source

The maximum of randomly weighted sums with long tails in insurance and finance [PDF]

open access: yes, 2011
In risk theory we often encounter stochastic models containing randomly weighted sums. In these sums, each primary real-valued random variable, interpreted as the net loss during a reference period, is associated with a nonnegative random weight ...
Chen, Y, Ng, KW, Yuen, KC
core   +1 more source

Multivariate Measures of Concordance for Copulas and their Marginals

open access: yes, 2010
Building upon earlier work in which axioms were formulated for multivariate measures of concordance, we examine properties of such measures. In particular, we examine the relations between the measure of concordance of an $n$-copula and the measures of ...
Dolati   +11 more
core   +2 more sources

Star graphs induce tetrad correlations: for Gaussian as well as for binary variables [PDF]

open access: yes, 2014
Tetrad correlations were obtained historically for Gaussian distributions when tasks are designed to measure an ability or attitude so that a single unobserved variable may generate the observed, linearly increasing dependences among the tasks.
Marchetti, Giovanni M., Wermuth, Nanny
core   +2 more sources

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