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We study the semiparametric efficient estimation of a class of linear functionals in settings where a complete multivariate dataset is supplemented by additional datasets recording subsets of the variables of interest. These datasets are…

统计理论 · 数学 2025-06-19 Thomas B. Berrett

We consider a class of non-local functionals recently introduced by H. Brezis, A. Seeger, J. Van Schaftingen, and P.-L. Yung, which offers a novel way to characterize functions with bounded variation. We give a positive answer to an open…

泛函分析 · 数学 2024-05-02 Nicola Picenni

The present article is devoted to the semi-parametric estimation of multivariate expectiles for extreme levels. The considered multivariate risk measures also include the possible conditioning with respect to a functional covariate,…

统计理论 · 数学 2023-03-30 Elena Di Bernardino , Thomas Laloë , Cambyse Pakzad

Our article addresses the problem of flexibly estimating a multivariate density while also attempting to estimate its marginals correctly. We do so by proposing two new estimators that try to capture the best features of mixture of normals…

统计方法学 · 统计学 2009-01-05 Paolo Giordani , Xiuyan Mun , Robert Kohn

In this paper, we study distance covariance, Hilbert-Schmidt covariance (aka Hilbert-Schmidt independence criterion [Gretton et al. (2008)]) and related independence tests under the high dimensional scenario. We show that the sample…

统计理论 · 数学 2019-02-12 Changbo Zhu , Shun Yao , Xianyang Zhang , Xiaofeng Shao

Estimating location is a central problem in functional data analysis, yet most current estimation procedures either unrealistically assume completely observed trajectories or lack robustness with respect to the many kinds of anomalies one…

统计方法学 · 统计学 2022-03-24 Ioannis Kalogridis , Stefan Van Aelst

New estimators for the mean and the covariance function for partially observed functional data are proposed using a detour via the fundamental theorem of calculus. The new estimators allow for a consistent estimation of the mean and…

统计方法学 · 统计学 2018-08-01 Dominik Liebl , Stefan Rameseder

Over the last couple of decades, several copula based methods have been proposed in the literature to test for the independence among several random variables. But these existing tests are not invariant under monotone transformations of the…

统计理论 · 数学 2019-11-15 Angshuman Roy , Anil Ghosh , Alok Goswami , C. A. Murthy

The Copula is widely used to describe the relationship between the marginal distribution and joint distribution of random variables. The estimation of high-dimensional Copula is difficult, and most existing solutions rely either on…

机器学习 · 计算机科学 2022-11-02 Zhi Zeng , Ting Wang

Empirical regression discontinuity (RD) studies often include covariates in their specifications to increase the precision of their estimates. In this paper, we propose a novel class of estimators that use such covariate information more…

计量经济学 · 经济学 2025-04-28 Claudia Noack , Tomasz Olma , Christoph Rothe

We address the inference problem concerning regression coefficients in a classical linear regression model using least squares estimates. The analysis is conducted under circumstances where network dependency exists across units in the…

统计方法学 · 统计学 2024-04-03 Jing Lei , Kehui Chen , Haeun Moon

We propose a novel framework for approximate factor models that integrates an S-vine copula structure to capture complex dependencies among common factors. Our estimation procedure proceeds in two steps: first, we apply principal component…

统计方法学 · 统计学 2025-08-18 Jialing Han , Yu-Ning Li

The difference equations $\xi_{k}=af(\xi_{k-1})+\epsilon_{k}$, where $(\epsilon_k)$ is a square integrable difference martingale, and the differential equation ${\rm d}\xi=-af(\xi){\rm d}t+{\rm d}\eta$, where $\eta$ is a square integrable…

统计理论 · 数学 2007-07-11 Dmytro Ivanenko

We consider the recursive estimation of a regression functional where the explanatory variables take values in some functional space. We prove the almost sure convergence of such estimates for dependent functional data. Also we derive the…

统计理论 · 数学 2013-04-19 Aboubacar Amiri , Baba Thiam

The analysis of extremal dependence in high dimensions has recently attracted considerable interest. Existing methodology primarily focuses on modeling and estimation of extremal dependence structures, often supported by concentration…

统计理论 · 数学 2026-04-02 Axel Bücher , Yeonjoon Choi , Katharina Effertz , Stanislav Volgushev

The extremal index $\theta$, a measure of the degree of local dependence in the extremes of a stationary process, plays an important role in extreme value analyses. We estimate $\theta$ semiparametrically, using the relationship between the…

统计方法学 · 统计学 2016-06-02 Paul J. Northrop

The extremal dependence structure of a regularly varying $d$-dimensional random vector can be described by its angular measure. The standard nonparametric estimator of this measure is the empirical measure of the observed angles of the $k$…

统计理论 · 数学 2025-03-31 Holger Drees

We propose a new estimator based on a linear programming method for smooth frontiers of sample points. The derivative of the frontier function is supposed to be Holder continuous.The estimator is defined as a linear combination of kernel…

统计理论 · 数学 2014-09-23 Alexander Nazin , Stephane Girard

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

统计理论 · 数学 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

A new class of copulas based on order statistics was introduced by Baker (2008). Here, further properties of the bivariate and multivariate copulas are described, such as that of likelihood ratio dominance (LRD), and further bivariate…

统计方法学 · 统计学 2014-12-03 Rose Baker