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We consider a general nonparametric regression model called the compound model. It includes, as special cases, sparse additive regression and nonparametric (or linear) regression with many covariates but possibly a small number of relevant…

统计理论 · 数学 2013-01-04 Arnak Dalalyan , Yuri Ingster , Alexandre Tsybakov

The problem of measuring conditional dependence between two random phenomena arises when a third one (a confounder) has a potential influence on the amount of information between them. A typical issue in this challenging problem is the…

机器学习 · 统计学 2025-03-12 Ferran de Cabrera , Marc Vilà-Insa , Jaume Riba

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

统计理论 · 数学 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

机器学习 · 统计学 2021-10-12 K. P. Chowdhury

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

统计理论 · 数学 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

We present a general construction for dependent random measures based on thinning Poisson processes on an augmented space. The framework is not restricted to dependent versions of a specific nonparametric model, but can be applied to all…

机器学习 · 统计学 2012-11-21 Nicholas J. Foti , Joseph D. Futoma , Daniel N. Rockmore , Sinead Williamson

This article deals with adaptive nonparametric estimation for L\'evy processes observed at low frequency. For general linear functionals of the L\'evy measure, we construct kernel estimators, provide upper risk bounds and derive rates of…

统计理论 · 数学 2014-07-15 Johanna Kappus

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

统计理论 · 数学 2010-10-07 Yuao Hu

We establish the convergence rates and asymptotic distributions of the common break change-point estimators, obtained by least squares and maximum likelihood in panel data models and compare their asymptotic variances. Our model assumptions…

统计理论 · 数学 2017-08-22 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

In this paper we consider the nonparametric estimation of density and regression functions with non-negative support using a gamma kernel procedure introduced by Chen (2000). Strong uniform consistency and asymptotic normality of the…

统计理论 · 数学 2016-10-18 A. C. Rosa , M. E. Nogueira

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

信号处理 · 电气工程与系统科学 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

The problem of developing binary classifiers from positive and unlabeled data is often encountered in machine learning. A common requirement in this setting is to approximate posterior probabilities of positive and negative classes for a…

机器学习 · 统计学 2016-01-11 Shantanu Jain , Martha White , Michael W. Trosset , Predrag Radivojac

Graphical model has been widely used to investigate the complex dependence structure of high-dimensional data, and it is common to assume that observed data follow a homogeneous graphical model. However, observations usually come from…

统计方法学 · 统计学 2016-01-01 Kevin Lee , Lingzhou Xue

In this paper we consider a regression model that allows for time series covariates as well as heteroscedasticity with a regression function that is modelled nonparametrically. We assume that the regression function changes at some unknown…

统计理论 · 数学 2019-09-17 Maria Mohr , Leonie Selk

Unlinked regression, in which covariates and responses are observed separately without known correspondence, has recently gained increasing attention. Deconvolution, on the other hand, is a fundamental and challenging problem in…

统计理论 · 数学 2026-05-19 Fadoua Balabdaoui , Antonio Di Noia , Cécile Durot

We provide a comprehensive examination of the predictive performance of panel forecasting methods based on individual, pooling, fixed effects, and empirical Bayes estimation, and propose optimal weights for forecast combination schemes. We…

计量经济学 · 经济学 2026-01-30 M. Hashem Pesaran , Andreas Pick , Allan Timmermann

Accurately estimating data density is crucial for making informed decisions and modeling in various fields. This paper presents a novel nonparametric density estimation procedure that utilizes bivariate penalized spline smoothing over…

统计方法学 · 统计学 2024-10-29 Kunal Das , Shan Yu , Guannan Wang , Li Wang

The popular generalized additive model framework is extended to allow both the mean curves and the response distribution to be nonparametric. The approach is demonstrated to be a flexible yet parsimonious tool for data analysis in its own…

统计方法学 · 统计学 2017-09-18 Alan Huang , Nanxi Zhang

Control charts for process monitoring are widely used in practice. Most control charts require the monitored (residuals) process to be serially independent (and to satisfy specified distributional assumptions), whereas undetected dependence…

统计方法学 · 统计学 2026-05-27 Christian H. Weiß , José M. Amigó