Results 71 to 80 of about 4,341 (174)

General Multivariate Dependence using Associated Copulas

Revstat Statistical Journal, 2016
This paper studies the general multivariate dependence and tail dependence of a random vector. We analyse the dependence of variables going up or down, covering the 2 d orthants of dimension d and accounting for non-positive dependence.
Yuri Salazar Flores
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Nested Archimedean copulas: a new class of nonparametric tree structure estimators

, 2014
Any nested Archimedean copula is defined starting from a rooted phylogenetic tree, for which a new class of nonparametric estimators is presented. An estimator from this new class relies on a two-step procedure where first a binary tree is built and ...
Uyttendaele, Nathan
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From Archimedean to Liouville copulas

Journal of Multivariate Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
McNeil, Alexander J., Nešlehová, Johanna   +1 more
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Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima

Open Mathematics, 2017
Our goal is to state and prove the almost sure central limit theorem for maxima (Mn) of X1, X2, ..., Xn, n ∈ ℕ, where (Xi) forms a stochastic process of identically distributed r.v.’s of the continuous type, such that, for any fixed n, the family of r.v.’
Dudziński Marcin, Furmańczyk Konrad
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The Realized Hierarchical Archimedean Copula in Risk Modelling

Econometrics, 2017
This paper introduces the concept of the realized hierarchical Archimedean copula (rHAC). The proposed approach inherits the ability of the copula to capture the dependencies among financial time series, and combines it with additional information ...
Ostap Okhrin, Anastasija Tetereva
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Bounds for the Clayton copula

Nonlinear Analysis, 2017
We provide two upper bounds on the Clayton copula Cθ(u1,...,un) if θ > 0 and n ≥ 2 and a lower bound in the case θ ∈ [-1,0) and n ≥ 2. The obtained bounds provide a nice probabilistic interpretation related to some negative dependence structures and also
Martynas Manstavičius, Remigijus Leipus
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Lower Tail Dependence for Archimedean Copulas: Characterizations and Pitfalls [PDF]

Tail dependence copulas provide a natural perspective from which one can study the dependence in the tail of a multivariate distribution.For Archimedean copulas with continuously differentiable generators, regular variation of the generator near the ...
Charpentier, A., Segers, J.J.J.
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Likelihood inference for Archimedean copulas

, 2011
Explicit functional forms for the generator derivatives of well-known one-parameter Archimedean copulas are derived. These derivatives are essential for likelihood inference as they appear in the copula density, conditional distribution functions, or the Kendall distribution function.
Hofert, Marius, Mächler, Martin, McNeil, Alexander J.   +2 more
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Bayesian Nonparametric Mixtures of Archimedean Copulas

Journal of Agricultural, Biological and Environmental Statistics
Copula-based dependence modeling often relies on parametric formulations. This is mathematically convenient, but can be statistically inefficient when the parametric families are not suitable for the data and model in focus. A Bayesian nonparametric mixture of Archimedean copulas is introduced to increase the flexibility of copula-based dependence ...
Pan, Ruyi, Nieto-Barajas, Luis E., Craiu, Radu V.   +2 more
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Archimedean Copulae and Positive Dependence. [PDF]

In the first part of the paper we consider positive dependence properties of Archimedean copulae. Especially we characterize the Archimedean copulae that are multivariate totally positive of order 2 (MTP2) and conditionally increasing in sequence. In the
Alfred Müller, Marco Scarsini
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