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Risk evaluation is a forecast, and its validity must be backtested. Probability distribution forecasts are used in this work and allow for more powerful validations compared to point forecasts. Our aim is to use bivariate copulas in order…

风险管理 · 定量金融 2023-11-21 Boris David , Gilles Zumbach

In this paper, we present a new R package COREclust dedicated to the detection of representative variables in high dimensional spaces with a potentially limited number of observations. Variable sets detection is based on an original graph…

数学软件 · 计算机科学 2018-05-28 Camille Champion , Anne-Claire Brunet , Jean-Michel Loubes , Laurent Risser

The R package quantreg.nonpar implements nonparametric quantile regression methods to estimate and make inference on partially linear quantile models. quantreg.nonpar obtains point estimates of the conditional quantile function and its…

统计计算 · 统计学 2017-10-18 Michael Lipsitz , Alexandre Belloni , Victor Chernozhukov , Iván Fernández-Val

This paper introduces an intuitive and easy-to-implement nonparametric density estimator based on local polynomial techniques. The estimator is fully boundary adaptive and automatic, but does not require pre-binning or any other…

计量经济学 · 经济学 2019-06-11 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

This article introduces the R package hermiter which facilitates estimation of univariate and bivariate probability density functions and cumulative distribution functions along with full quantile functions (univariate) and nonparametric…

统计计算 · 统计学 2023-07-04 Michael Stephanou , Melvin Varughese

This paper deals with the problem of the multivariate copula density estimation. Using wavelet methods we provide two shrinkage procedures based on thresholding rules for which the knowledge of the regularity of the copula density to be…

统计理论 · 数学 2011-11-04 Florent Autin , Erwan Le Pennec , Karine Tribouley

In this paper, we concentrate on new methodologies for copulas introduced and developed by Joe, Cooke, Bedford, Kurowica, Daneshkhah and others on the new class of graphical models called vines as a way of constructing higher dimensional…

统计计算 · 统计学 2012-10-30 Alireza Daneshkhah , Golamali Parham , Omid Chatrabgoun , M. Jokar

Empirical copula functions can be used to model the dependence structure of multivariate data. The Greenwald and Khanna algorithm is adapted in order to provide a space-memory efficient approximation to the empirical copula function of a…

统计计算 · 统计学 2019-01-23 Alastair Gregory

This paper discusses the R package lpcde, which stands for local polynomial conditional density estimation. It implements the kernel-based local polynomial smoothing methods introduced in Cattaneo, Chandak, Jansson, Ma (2024) for…

统计计算 · 统计学 2025-03-11 Matias D. Cattaneo , Rajita Chandak , Michael Jansson , Xinwei Ma

Change-point analysis plays a significant role in various fields to reveal discrepancies in distribution in a sequence of observations. While a number of algorithms have been proposed for high-dimensional data, kernel-based methods have not…

统计方法学 · 统计学 2023-01-10 Hoseung Song , Hao Chen

Latent Gaussian copula models provide a powerful means to perform multi-view data integration since these models can seamlessly express dependencies between mixed variable types (binary, continuous, zero-inflated) via latent Gaussian…

统计计算 · 统计学 2022-04-22 Grace Yoon , Christian L. Müller , Irina Gaynanova

Copulas are functions that describe dependence structures of random vectors, without describing their univariate marginals. In statistics, the separation is sometimes useful, the quality and/or quantity of available information on these two…

统计计算 · 统计学 2024-11-14 Oskar Laverny , Santiago Jimenez

Coresets have emerged as a powerful tool to summarize data by selecting a small subset of the original observations while retaining most of its information. This approach has led to significant computational speedups but the performance of…

统计理论 · 数学 2020-12-10 Paxton Turner , Jingbo Liu , Philippe Rigollet

This paper presents a practical, and theoretically well-founded, approach to improve the speed of kernel manifold learning algorithms relying on spectral decomposition. Utilizing recent insights in kernel smoothing and learning with…

机器学习 · 统计学 2015-07-28 Hassan A. Kingravi , Patricio A. Vela , Alexandar Gray

In the kernel density estimation (KDE) problem one is given a kernel $K(x, y)$ and a dataset $P$ of points in a Euclidean space, and must prepare a data structure that can quickly answer density queries: given a point $q$, output a…

数据结构与算法 · 计算机科学 2024-01-08 Moses Charikar , Michael Kapralov , Erik Waingarten

Diagnostic test accuracy studies typically report the number of true positives, false positives, true negatives and false negatives. There usually exists a negative association between the number of true positives and true negatives,…

统计方法学 · 统计学 2015-11-06 Aristidis K. Nikoloulopoulos

Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model,…

应用统计 · 统计学 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

Visualization and assessment of copula structures are crucial for accurately understanding and modeling the dependencies in multivariate data analysis. In this paper, we introduce an innovative method that employs functional boxplots and…

统计方法学 · 统计学 2023-12-19 Cristian F. Jimenez-Varon , Hao Lee , Marc G. Genton , Ying Sun

In the spatial point process context, kernel intensity estimation has been mainly restricted to exploratory analysis due to its lack of consistency. Different methods have been analysed to overcome this problem, and the inclusion of…

统计方法学 · 统计学 2018-05-21 M. I. Borrajo , W. González-Manteiga , M. D. Martínez-Miranda

Kernel density estimation (KDE) is one of the most widely used nonparametric density estimation methods. The fact that it is a memory-based method, i.e., it uses the entire training data set for prediction, makes it unsuitable for most…

机器学习 · 计算机科学 2022-08-08 Joseph A. Gallego , Juan F. Osorio , Fabio A. González