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相关论文: Multiplier bootstrap of tail copulas with applicat…

200 篇论文

We propose multiplier bootstrap procedures for nonparametric inference and uncertainty quantification of the target mean function, based on a novel framework of integrating target and source data. We begin with the relatively easier…

统计方法学 · 统计学 2025-01-06 Zuofeng Shang , Peijun Sang , Chong Jin

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

统计方法学 · 统计学 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

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

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

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

We explore the use of higher-order tail area approximations for Bayesian simulation. These approximations give rise to an alternative simulation scheme to MCMC for Bayesian computation of marginal posterior distributions for a scalar…

统计计算 · 统计学 2014-05-23 Erlis Ruli , Nicola Sartori , Laura Ventura

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

Estimating the tail index parameter is one of the primal objectives in extreme value theory. For heavy-tailed distributions the Hill estimator is the most popular way to estimate the tail index parameter. Improving the Hill estimator was…

统计方法学 · 统计学 2018-06-05 László Németh , András Zempléni

This paper develops a general inferential framework for discrete copulas on finite supports in any dimension. The copula of a multivariate discrete distribution is defined as Csiszar's I-projection (i.e., the minimum-Kullback-Leibler…

统计理论 · 数学 2025-06-17 Gery Geenens , Ivan Kojadinovic , Tommaso Martini

We propose a double bootstrap procedure for reducing coverage error in the confidence intervals of descriptive statistics for independent and identically distributed functional data. Through a series of Monte Carlo simulations, we compare…

统计方法学 · 统计学 2021-02-03 Han Lin Shang

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

计量经济学 · 经济学 2023-12-01 Wenzheng Gao , Zhenting Sun

Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

统计理论 · 数学 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

We show that, when the double bootstrap is used to improve performance of bootstrap methods for bias correction, techniques based on using a single double-bootstrap sample for each single-bootstrap sample can be particularly effective. In…

统计理论 · 数学 2015-11-12 Jinyuan Chang , Peter Hall

We study the asymptotic behavior of the marginal expected shortfall when the two random variables are asymptotic independent but positive associated, which is modeled by the so-called tail dependent coefficient. We construct an estimator of…

统计理论 · 数学 2017-09-14 Juan-Juan Cai , Eni Musta

We show how to construct the implied copula process of response values from a Bayesian additive regression tree (BART) model with prior on the leaf node variances. This copula process, defined on the covariate space, can be paired with any…

统计方法学 · 统计学 2026-01-14 Jan Martin Wenkel , Michael Stanley Smith , Nadja Klein

We develop a general variational inference method that preserves dependency among the latent variables. Our method uses copulas to augment the families of distributions used in mean-field and structured approximations. Copulas model the…

机器学习 · 统计学 2015-11-03 Dustin Tran , David M. Blei , Edoardo M. Airoldi

To disentangle the complex non-stationary dependence structure of precipitation extremes over the entire contiguous U.S., we propose a flexible local approach based on factor copula models. Our sub-asymptotic spatial modeling framework…

应用统计 · 统计学 2019-03-26 Daniela Castro-Camilo , Raphaël Huser

This paper proposes a valid bootstrap-based distributional approximation for M-estimators exhibiting a Chernoff (1964)-type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method…

统计理论 · 数学 2020-06-01 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

A notion of tail dependence based on operator regular variation is introduced for copulas, and the standard tail dependence used in the copula literature is included as a special case. The non-standard tail dependence with marginal power…

概率论 · 数学 2017-09-11 Haijun Li

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this paper,…