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Background. The bootComb R package allows researchers to derive confidence intervals with correct target coverage for arbitrary combinations of arbitrary numbers of independently estimated parameters. Previous versions (< 1.1.0) of bootComb…

统计方法学 · 统计学 2022-10-03 Marc Yves Romain Henrion

The paper is concerned with classic kernel interpolation methods, in addition to approximation methods that are augmented by gradient measurements. To apply kernel interpolation using radial basis functions (RBFs) in a stable way, we…

数值分析 · 数学 2021-04-14 Akil Narayan , Liang Yan , Tao Zhou

We study a simple statistic for benchmarking how well a sample preserves a known bivariate dependence structure. Given a target copula family (Clayton or Gumbel) and parameter $\theta_P$, the Copula Discrepancy (CD) compares the target…

机器学习 · 统计学 2025-12-30 Agnideep Aich , Ashit Baran Aich

We propose a new multivariate dependency measure. It is obtained by considering a Gaussian kernel based distance between the copula transform of the given d-dimensional distribution and the uniform copula and then appropriately normalizing…

统计理论 · 数学 2019-11-12 Angshuman Roy , Alok Goswami , C. A. Murthy

A new index based on empirical copulas, termed the Copula Statistic (CoS), is introduced for assessing the strength of multivariate dependence and for testing statistical independence. New properties of the copulas are proved. They allow us…

统计理论 · 数学 2016-12-22 Mohsen Ben Hassine , Lamine Mili , Kiran Karra

Large networks of queueing systems model important real-world systems such as MapReduce clusters, web-servers, hospitals, call centers and airport passenger terminals. To model such systems accurately, we must infer queueing parameters from…

统计计算 · 统计学 2021-04-20 Anthony Ebert , Paul Wu , Kerrie Mengersen , Fabrizio Ruggeri

A dependence measure for arbitrary type pairs of random variables is proposed and analyzed, which in the particular case where both random variables are continuous turns out to be a concordance measure. Also, a sample version of the…

统计理论 · 数学 2017-02-07 Arturo Erdely

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

数据结构与算法 · 计算机科学 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

Kernel Estimation provides an unbinned and non-parametric estimate of the probability density function from which a set of data is drawn. In the first section, after a brief discussion on parametric and non-parametric methods, the theory of…

高能物理 - 实验 · 物理学 2009-10-31 Kyle S. Cranmer

A nonparametric kernel density estimator for directional-linear data is introduced. The proposal is based on a product kernel accounting for the different nature of both (directional and linear) components of the random vector. Expressions…

统计方法学 · 统计学 2020-09-22 Eduardo García-Portugués , Rosa M. Crujeiras , Wenceslao González-Manteiga

The kendallknight package introduces an efficient implementation of Kendall's correlation coefficient computation, significantly improving the processing time for large datasets without sacrificing accuracy. The kendallknight package,…

统计计算 · 统计学 2024-12-10 Mauricio Vargas Sepúlveda

Conditional copula models allow dependence structures to vary with observed covariates while preserving a separation between marginal behavior and association. We study the uniform asymptotic behavior of kernel-weighted local likelihood…

统计理论 · 数学 2026-01-06 Mathias Nthiani Muia

This paper addresses computational challenges in estimating Quantile Regression with Selection (QRS). The estimation of the parameters that model self-selection requires the estimation of the entire quantile process several times. Moreover,…

计量经济学 · 经济学 2024-02-27 Santiago Pereda-Fernández

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

统计方法学 · 统计学 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

应用统计 · 统计学 2018-10-12 Pavel Krupskii , Marc G. Genton

Kernel density estimation on a finite interval poses an outstanding challenge because of the well-recognized bias at the boundaries of the interval. Motivated by an application in cancer research, we consider a boundary constraint linking…

统计理论 · 数学 2020-12-01 Matthew J. Colbrook , Zdravko I. Botev , Karsten Kuritz , Shev MacNamara

When nonlinear measures are estimated from sampled temporal signals with finite-length, a radius parameter must be carefully selected to avoid a poor estimation. These measures are generally derived from the correlation integral which…

统计方法学 · 统计学 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Annick Lesne , Sofiane Ramdani

We consider bandwidth matrix selection for kernel density estimators (KDEs) of density level sets in $\mathbb{R}^d$, $d \ge 2$. We also consider estimation of highest density regions, which differs from estimating level sets in that one…

统计方法学 · 统计学 2018-10-26 Charles R. Doss , Guangwei Weng

This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

计量经济学 · 经济学 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

The smooth bootstrap for estimating copula functionals in small samples is investigated. It can be used both to gauge the distribution of the estimator in question and to augment the data. Issues arising from kernel density and distribution…

统计计算 · 统计学 2022-03-28 Maximilian Coblenz , Oliver Grothe , Klaus Herrmann , Marius Hofert