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We present a new non-parametric estimator of the conditional density of the kernel type. It is based on an efficient transformation of the data by quantile transform. By use of the copula representation, it turns out to have a remarkable…

统计方法学 · 统计学 2008-06-13 Olivier P. Faugeras

In this paper we study nonparametric estimators of copulas and copula densities. We first focus our study on a density copula estimator based on a polynomial orthogonal projection of the joint density. A new copula estimator is then…

统计理论 · 数学 2021-12-21 Yves Ismaël Ngounou Bakam , Denys Pommeret

We propose a copula density estimator that can include information on bivariate marginals when the information is available. We use B-splines for copula density approximation and include information on bivariate marginals via a penalty…

统计方法学 · 统计学 2016-02-02 Yu-Hsiang Cheng , Tzee-Ming Huang

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

This tutorial provides a gentle introduction to kernel density estimation (KDE) and recent advances regarding confidence bands and geometric/topological features. We begin with a discussion of basic properties of KDE: the convergence rate…

统计方法学 · 统计学 2017-09-13 Yen-Chi Chen

This paper presents new methodology for computationally efficient kernel density estimation. It is shown that a large class of kernels allows for exact evaluation of the density estimates using simple recursions. The same methodology can be…

统计计算 · 统计学 2019-11-12 David P. Hofmeyr

Copulas are popular as models for multivariate dependence because they allow the marginal densities and the joint dependence to be modeled separately. However, they usually require that the transformation from uniform marginals to the…

统计方法学 · 统计学 2013-06-14 Minh-Ngoc Tran , Paolo Giordani , Xiuyan Mun , Robert Kohn , Mike Pitt

We propose reinterpreting copula density estimation as a discriminative task. Under this novel estimation scheme, we train a classifier to distinguish samples from the joint density from those of the product of independent marginals,…

统计方法学 · 统计学 2025-03-20 David Huk , Mark Steel , Ritabrata Dutta

The current statistical procedures implemented in statistical software packages for pooling of diagnostic test accuracy data include hSROC regression and the bivariate random-effects meta-analysis model (BRMA). However, these models do not…

统计方法学 · 统计学 2016-04-08 Victoria N Nyaga , Marc Arbyn , Marc Aerts

Copula modelling has become ubiquitous in modern statistics. Here, the problem of nonparametrically estimating a copula density is addressed. Arguably the most popular nonparametric density estimator, the kernel estimator is not suitable…

统计方法学 · 统计学 2014-04-18 Gery Geenens , Arthur Charpentier , Davy Paindaveine

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

统计方法学 · 统计学 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

Zero-inflated continuous data ubiquitously appear in many fields, in which lots of exactly zero-valued data are observed while others distribute continuously. Due to the mixed structure of discreteness and continuity in its distribution,…

统计方法学 · 统计学 2024-10-28 Keita Hamamoto

Density estimation and inference methods are widely used in empirical work. When the underlying distribution has compact support, conventional kernel-based density estimators are no longer consistent near or at the boundary because of their…

统计计算 · 统计学 2021-02-24 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

The use of copula-based models in EDAs (estimation of distribution algorithms) is currently an active area of research. In this context, the copulaedas package for R provides a platform where EDAs based on copulas can be implemented and…

神经与进化计算 · 计算机科学 2014-07-02 Yasser Gonzalez-Fernandez , Marta Soto

The R package pdfCluster performs cluster analysis based on a nonparametric estimate of the density of the observed variables. After summarizing the main aspects of the methodology, we describe the features and the usage of the package, and…

统计计算 · 统计学 2013-01-29 Adelchi Azzalini , Giovanna Menardi

Density estimation is a fundamental technique employed in various fields to model and to understand the underlying distribution of data. The primary objective of density estimation is to estimate the probability density function of a random…

机器学习 · 统计学 2024-02-20 Cristiano Tamborrino , Antonella Falini , Francesca Mazzia

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

机器学习 · 计算机科学 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data…

数据分析、统计与概率 · 物理学 2015-02-27 Anton Poluektov

This work presents a guide for the use of some of the functions of the R package "multiColl" for the detection of near multicollinearity. The main contribution, in comparison to other existing packages in R or other econometric software, is…

统计计算 · 统计学 2019-11-01 Román Salmerón , Catalina García , José García

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

机器学习 · 计算机科学 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider
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