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Estimating spot covariance is an important issue to study, especially with the increasing availability of high-frequency financial data. We study the estimation of spot covariance using a kernel method for high-frequency data. In…

统计方法学 · 统计学 2019-05-21 Konul Mustafayeva , Weining Wang

We consider learning continuous probabilistic graphical models in the face of missing data. For non-Gaussian models, learning the parameters and structure of such models depends on our ability to perform efficient inference, and can be…

机器学习 · 计算机科学 2012-03-19 Gal Elidan

Stochastic volatility modelling of financial processes has become increasingly popular. The proposed models usually contain a stationary volatility process. We will motivate and review several nonparametric methods for estimation of the…

统计方法学 · 统计学 2014-07-15 Bert van Es , Peter Spreij , Harry van Zanten

Conditional copulas are useful tools for modeling the dependence between multiple response variables that may vary with a given set of predictor variables. Conditional dependence measures such as conditional Kendall's tau and Spearman's rho…

统计方法学 · 统计学 2023-11-07 Lu Lu , Sujit Ghosh

We introduce a new approach for estimating the invariant density of a multidimensional diffusion when dealing with high-frequency observations blurred by independent noises. We consider the intermediate regime, where observations occur at…

统计理论 · 数学 2024-04-19 Raphaël Maillet , Grégoire Szymanski

We consider kernel estimation of marginal densities and regression functions of stationary processes. It is shown that for a wide class of time series, with proper centering and scaling, the maximum deviations of kernel density and…

统计理论 · 数学 2010-10-21 Weidong Liu , Wei Biao Wu

Under a single-index regression assumption, we introduce a new semiparametric procedure to estimate a conditional density of a censored response. The regression model can be seen as a generalization of Cox regression model and also as a…

统计理论 · 数学 2009-03-22 Olivier Bouaziz , Olivier Lopez

In practical applications, one often does not know the "true" structure of the underlying conditional quantile function, especially in the ultra-high dimensional setting. To deal with ultra-high dimensionality, quantile-adaptive marginal…

统计方法学 · 统计学 2024-04-26 Daoji Li , Yinfei Kong , Dawit Zerom

This paper presents a new perspective on the identification at infinity for the intercept of the sample selection model as identification at the boundary via a transformation of the selection index. This perspective suggests generalizations…

计量经济学 · 经济学 2023-02-13 Zhewen Pan

We consider the problem of testing hypotheses on the copula density from $n$ bi-dimensional observations. We wish to test the null hypothesis characterized by a parametric class against a composite nonparametric alternative. Each density…

统计理论 · 数学 2009-03-02 Ghislaine Gayraud , Karine Tribouley

Compositional data, representing proportions constrained to the simplex, arise in diverse fields such as geosciences, ecology, genomics, and microbiome research. Existing nonparametric density estimation methods often rely on…

统计方法学 · 统计学 2025-10-10 Jiajin Xie , Yong Wang , Eduardo García-Portugués

The paper deals with the nonparametric estimation problem at a given fixed point for an autoregressive model with unknown distributed noise. Kernel estimate modifications are proposed. Asymptotic minimax and efficiency properties for…

统计理论 · 数学 2008-06-19 Ouerdia Arkoun , Serguei Pergamenchtchikov

A Copula density estimation method that is based on a finite mixture of heterogeneous parametric copula densities is proposed here. More specifically, the mixture components are Clayton, Frank, Gumbel, T, and normal copula densities, which…

统计计算 · 统计学 2019-06-25 Leming Qu , Yang Lu

We study the estimation, in Lp-norm, of density functions defined on [0,1]^d. We construct a new family of kernel density estimators that do not suffer from the so-called boundary bias problem and we propose a data-driven procedure based on…

统计理论 · 数学 2018-10-29 Karine Bertin , Salima El Kolei , Nicolas Klutchnikoff

In this paper, we study nonparametric models allowing for locally stationary regressors and a regression function that changes smoothly over time. These models are a natural extension of time series models with time-varying coefficients. We…

统计理论 · 数学 2013-02-19 Michael Vogt

We propose a method for nonparametric density estimation that exhibits robustness to contamination of the training sample. This method achieves robustness by combining a traditional kernel density estimator (KDE) with ideas from classical…

机器学习 · 统计学 2011-09-07 JooSeuk Kim , Clayton D. Scott

In recent years, conditional copulas, that allow dependence between variables to vary according to the values of one or more covariates, have attracted increasing attention. In high dimension, vine copulas offer greater flexibility compared…

统计方法学 · 统计学 2021-09-24 Rosario Barone , Luciana Dalla Valle

The purpose of this paper is to introduce two semiparametric methods for the estimation of copula parameter. These methods are based on minimum Alpha-Divergence between a non-parametric estimation of copula density using local likelihood…

统计方法学 · 统计学 2022-05-10 Morteza Mohammadi , Mohammad Amini , Mahdi Emadi

We propose a new conditional dependence measure and a statistical test for conditional independence. The measure is based on the difference between analytic kernel embeddings of two well-suited distributions evaluated at a finite set of…

机器学习 · 统计学 2022-06-17 Meyer Scetbon , Laurent Meunier , Yaniv Romano

Traditional interpolation techniques for particle tracking include binning and convolutional formulas that use pre-determined (i.e., closed-form, parameteric) kernels. In many instances, the particles are introduced as point sources in time…

数据分析、统计与概率 · 物理学 2021-05-05 David A Benson , Diogo Bolster , Stephen Pankavich , Michael J Schmidt
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