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We propose a semiparametric family of copulas based on a set of orthonormal functions and a matrix. This new copula permits to reach values of Spearman's Rho arbitrarily close to one without introducing a singular component. Moreover, it…

统计理论 · 数学 2013-10-22 Cécile Amblard , Stephane Girard , Ludovic Menneteau

In this paper, we study a semiparametric family of bivariate copulas. The family is generated by an univariate function, determining the symmetry (radial symmetry, joint symmetry) and dependence property (quadrant dependence, total…

统计理论 · 数学 2011-03-31 Cécile Amblard , Stéphane Girard

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

We describe a simple method for making inference on a functional of a multivariate distribution. The method is based on a copula representation of the multivariate distribution and it is based on the properties of an Approximate Bayesian…

统计方法学 · 统计学 2017-07-18 Clara Grazian , Brunero Liseo

Using the classical estimation method of moments, we propose a new semiparametric estimation procedure for multi-parameter copula models. Consistency and asymptotic normality of the obtained estimators are established. By considering an…

统计方法学 · 统计学 2012-01-10 Brahim Brahimi , Abdelhakim Necir

Extreme-value copulas arise as the limiting dependence structure of component-wise maxima. Defined in terms of a functional parameter, they are one of the most widespread copula families due to their flexibility and ability to capture…

统计方法学 · 统计学 2022-03-25 Javier Fernández Serrano

Estimation of extreme value copulas is often required in situations where available data are sparse. Parametric methods may then be the preferred approach. A possible way of defining parametric families that are simple and, at the same…

统计方法学 · 统计学 2013-01-29 Jan Beran , Georg Mainik

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

统计方法学 · 统计学 2022-08-22 Thomas Nagler , Thibault Vatter

Copulas are mathematical objects that fully capture the dependence structure among random variables and hence, offer a great flexibility in building multivariate stochastic models. In statistics, a copula is used as a general way of…

统计方法学 · 统计学 2013-10-01 Abhik Ghosh , Aritra Chakravorty

General classes of bivariate distributions are well studied in literature. Most of these classes are proposed via a copula formulation or extensions of some characterisation properties in the univariate case. In Kundu(2022) we see one such…

统计理论 · 数学 2022-12-29 Durga Vasudevan , G. Asha

We describe here a new method to estimate copula measure. From N observations of two variables X and Y, we draw a huge number m of subsamples (size n<N), and we compute the joint ranks in these subsamples. Then, for each bivariate rank…

统计方法学 · 统计学 2007-09-26 Jérôme Collet

Copula-based modeling has seen rapid advances in recent years. However, in big data applications, the lengthy computation time for estimating copula parameters is a major difficulty. Here, we develop a novel method to speed computation time…

统计方法学 · 统计学 2016-09-20 Zheng Wei , Daeyoung Kim , Erin Marie Conlon

A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation-maximization…

统计计算 · 统计学 2014-01-16 Xiaoling Dou , Satoshi Kuriki , Gwo Dong Lin , Donald Richards

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

统计方法学 · 统计学 2020-06-30 Michael Stanley Smith , Nadja Klein

This paper deals with a situation when one is interested in the dependence structure of a multidimensional response variable in the presence of a multivariate covariate. It is assumed that the covariate affects only the marginal…

统计理论 · 数学 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

This paper studies the binary classification of two distributions with the same Gaussian copula in high dimensions. Under this semiparametric Gaussian copula setting, we derive an accurate semiparametric estimator of the log density ratio,…

统计理论 · 数学 2014-11-12 Yue Zhao , Marten Wegkamp

In a recent paper Noh et al. (2013) proposed a new semiparametric estimate of a regression function with a multivariate predictor, which is based on a specification of the dependence structure between the predictor and the response by means…

统计方法学 · 统计学 2016-11-25 Holger Dette , Ria Van Hecke , Stanislav Volgushev

When facing multivariate covariates, general semiparametric regression techniques come at hand to propose flexible models that are unexposed to the curse of dimensionality. In this work a semiparametric copula-based estimator for…

统计方法学 · 统计学 2016-03-25 Mickael De Backer , Anouar El Ghouch , Ingrid Van Keilegom

In this work we propose a semiparametric bivariate copula whose density is defined by a piecewise constant function on disjoint squares. We obtain the maximum likelihood estimators of model parameters and prove that they reduce to the…

统计方法学 · 统计学 2023-03-10 Luis E. Nieto-Barajas , Ricardo Hoyos-Argüelles

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

统计理论 · 数学 2013-11-05 Zhengjia Chen , Xinjia Chen
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