Results 1 to 10 of about 51 (51)

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   +1 more source

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

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

Individualised recovery trajectories of patients with impeded mobility, using distance between probability distributions of learnt graphs [PDF]

open access: yes
MSC: primary, 60-XX; secondary, 05C12; 62H20.Patients who are undergoing physical rehabilitation, benefit from feedback that follows from reliable assessment of their cumulative performance attained at a given time. In this paper, we provide a method for
Zhang, C, Chakrabarty, D, Grosan, C
core   +1 more source

Continuous displacement interpolation between checkerboard copulas

open access: yesDependence Modeling
This paper presents a displacement-like interpolation method between any two given checkerboard copulas. This interpolation is close to the geodesic connecting the two checkerboard copulas in the L 2-Wasserstein space, which, however, leaves the copula ...
Grothe Oliver, Luo Na
doaj   +1 more source

Fast estimation of Kendall's Tau and conditional Kendall's Tau matrices under structural assumptions

open access: yesDependence Modeling
Kendall’s tau and conditional Kendall’s tau matrices are multivariate (conditional) dependence measures between the components of a random vector. For large dimensions, available estimators are computationally expensive and can be improved by averaging ...
van der Spek Rutger, Derumigny Alexis
doaj   +1 more source

A multivariate version of Gini's rank association coefficient

open access: yes
Primary 62H05, Secondary 62H20, Copulas, Gini's coefficient, Multivariate association,
Javad Behboodian   +2 more
core   +1 more source

Nonparametric inference on multivariate versions of Blomqvist’s beta and related measures of tail dependence

open access: yes
Blomqvist’s beta, Copula, Tail dependence, Asymptotic normality, Empirical copula, Asymptotic efficiency, Primary 62H20, Primary 62G20, Secondary 62G30, Secondary 62H10,
Friedrich Schmid, Rafael Schmidt
core   +1 more source

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