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We introduce an estimation method for the scaled skewness coefficient of the sample mean of short and long memory linear processes. This method can be extended to estimate higher moments such as curtosis coefficient of the sample mean. Also…

统计理论 · 数学 2020-05-25 Masoud M Nasari , Mohamedou Ould-Haye

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 study semiparametric varying-coefficient partially linear models when some linear covariates are not observed, but ancillary variables are available. Semiparametric profile least-square based estimation procedures are developed for…

统计理论 · 数学 2009-03-04 Yong Zhou , Hua Liang

A new sparse semiparametric model is proposed, which incorporates the influence of two functional random variables in a scalar response in a flexible and interpretable manner. One of the functional covariates is included through a…

统计方法学 · 统计学 2024-01-29 Silvia Novo , Philippe Vieu , Germán Aneiros

Maximizing the likelihood has been widely used for estimating the unknown covariance parameters of spatial Gaussian processes. However, evaluating and optimizing the likelihood function can be computationally intractable, particularly for…

统计理论 · 数学 2019-07-16 Hossein Keshavarz , XuanLong Nguyen , Clayton Scott

This article studies the \emph{robust covariance matrix estimation} of a data collection $X = (x_1,\ldots,x_n)$ with $x_i = \sqrt \tau_i z_i + m$, where $z_i \in \mathbb R^p$ is a \textit{concentrated vector} (e.g., an elliptical random…

概率论 · 数学 2022-04-12 Cosme Louart , Romain Couillet

A variety of estimators for the parameters of the Generalized Pareto distribution, the approximating distribution for excesses over a high threshold, have been proposed, always assuming the underlying data to be independent. We recently…

应用统计 · 统计学 2016-05-26 Lukas Martig , Jürg Hüsler

We consider in this paper the semiparametric mixture of two distributions equal up to a shift parameter. The model is said to be semiparametric in the sense that the mixed distribution is not supposed to belong to a parametric family. In…

统计理论 · 数学 2011-11-10 Cristina Butucea , Pierre Vandekerkhove

In survey sampling, survey data do not necessarily represent the target population, and the samples are often biased. However, information on the survey weights aids in the elimination of selection bias. The Horvitz-Thompson estimator is a…

统计方法学 · 统计学 2024-04-05 Kosuke Morikawa , Yoshikazu Terada , Jae Kwang Kim

Let $(X_i)_{i=1,...,n}$ be a possibly nonstationary sequence such that $\mathscr{L}(X_i)=P_n$ if $i\leq n\theta$ and $\mathscr{L}(X_i)=Q_n$ if $i>n\theta$, where $0<\theta <1$ is the location of the change-point to be estimated. We…

统计理论 · 数学 2009-09-29 Samir Ben Hariz , Jonathan J. Wylie , Qiang Zhang

We derive a parallel sampling algorithm for computational inverse problems that present an unknown linear forcing term and a vector of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of…

数值分析 · 数学 2022-03-24 Darko Volkov

In this paper we propose a generalization of a class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter for long-range dependent multivariate time series. We generalize a known GSE-type estimator by…

统计理论 · 数学 2013-05-23 Guilherme Pumi , Sílvia R. C. Lopes

We consider log-supermodular models on binary variables, which are probabilistic models with negative log-densities which are submodular. These models provide probabilistic interpretations of common combinatorial optimization tasks such as…

机器学习 · 统计学 2016-08-19 Tatiana Shpakova , Francis Bach

We consider a model of unreliable or crowdsourced data where there is an underlying set of $n$ binary variables, each evaluator contributes a (possibly unreliable or adversarial) estimate of the values of some subset of $r$ of the…

机器学习 · 计算机科学 2017-08-10 Michela Meister , Gregory Valiant

In this work, we explore a time-fractional diffusion equation of order $\alpha \in (0,1)$ with a stochastic diffusivity parameter. We focus on efficient estimation of the expected values (considered as an infinite dimensional integral on…

数值分析 · 数学 2024-09-04 Josef Dick , Hecong Gao , William McLean , Kassem Mustapha

Many standard estimators, when applied to adaptively collected data, fail to be asymptotically normal, thereby complicating the construction of confidence intervals. We address this challenge in a semi-parametric context: estimating the…

统计理论 · 数学 2025-03-04 Licong Lin , Koulik Khamaru , Martin J. Wainwright

We present and study semi-parametric estimators for the mean of functional outcomes in situations where some of these outcomes are missing and covariate information is available on all units. Assuming that the missingness mechanism depends…

统计理论 · 数学 2026-02-25 Xijia Liu , Kreske Felix Ecker , Lina Schelin , Xavier de Luna

This paper presents a model selection technique of estimation in semiparametric regression models of the type Y_i=\beta^{\prime}\underbarX_i+f(T_i)+W_i, i=1,...,n. The parametric and nonparametric components are estimated simultaneously by…

统计理论 · 数学 2007-06-13 Florentina Bunea

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

统计方法学 · 统计学 2025-12-09 Sijie Zheng

This work is concerned with the estimation of the intensity parameter of a stationary determinantal point process. We consider the standard estimator, corresponding to the number of observed points per unit volume and a recently introduced…

统计理论 · 数学 2016-04-26 Jean-François Coeurjolly , Christophe Ange Napoléon Biscio