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We propose a model selection approach for covariance estimation of a multi-dimensional stochastic process. Under very general assumptions, observing i.i.d replications of the process at fixed observation points, we construct an estimator of…

统计理论 · 数学 2009-09-29 Jérémie Bigot , Rolando Biscay , Jean-Michel Loubes , Lilian Muniz Alvarez

The problem of extrapolation and interpolation of asymptotic series is considered. Several new variants of improving the accuracy of the self-similar approximants are suggested. The methods are illustrated by examples typical of chemical…

数学物理 · 物理学 2010-04-08 V. I. Yukalov , E. P. Yukalova , S. Gluzman

State estimates from weak constraint 4D-Var data assimilation can vary significantly depending on the data and model error covariances. As a result, the accuracy of these estimates heavily depends on the correct specification of both model…

统计方法学 · 统计学 2025-04-28 Sandra R. Babyale , Jodi Mead , Donna Calhoun , Patricia O. Azike

Correctly identifying treatment effects in observational studies is very difficult due to the fact that the outcome model or the treatment assignment model must be correctly specified. Taking advantages of semiparametric models in this…

统计方法学 · 统计学 2022-07-08 Jichang Yu , Haibo Zhou , Jianwen Cai

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

统计方法学 · 统计学 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

In this manuscript, we consider a finite multivariate nonparametric mixture model where the dependence between the marginal densities is modeled using the copula device. Pseudo EM stochastic algorithms were recently proposed to estimate all…

统计计算 · 统计学 2022-12-14 Michael Levine , Gildas Mazo

This contribution introduces a novel signal extrapolation algorithm and its application to image error concealment. The signal extrapolation is carried out by iteratively generating a model of the signal suffering from distortion. Thereby,…

图像与视频处理 · 电气工程与系统科学 2022-07-15 Jürgen Seiler , André Kaup

We propose a method of reduction of experimental noise in single-pixel imaging by expressing the subsets of sampling patterns as linear combinations of vertices of a multidimensional regular simplex. This method may be also directly…

图像与视频处理 · 电气工程与系统科学 2019-04-25 Krzysztof M. Czajkowski , Anna Pastuszczak , Rafal Kotynski

The multivariate extremal index function relates the asymptotic distribution of the vector of pointwise maxima of a multivariate stationary sequence to that of the independent sequence from the same stationary distribution. It also measures…

应用统计 · 统计学 2008-11-14 Christian Y. Robert

In this paper, a practical estimation method for a regression model is proposed using semiparametric efficient score functions applicable to data with various shapes of errors. First, I derive semiparametric efficient score vectors for a…

统计方法学 · 统计学 2023-01-23 Mijeong Kim

The aim of this article is to propose a novel kernel estimator of the baseline function in a general high-dimensional Cox model, for which we derive non-asymptotic rates of convergence. To construct our estimator, we first estimate the…

应用统计 · 统计学 2015-07-07 Agathe Guilloux , Sarah Lemler , Marie-Luce Taupin

Area-specific causal inference is important in many policy and survey applications, where the goal is to evaluate treatment effects for small geographic or demographic domains. Existing causal small area estimation methods, however,…

统计理论 · 数学 2026-05-06 Tsubasa Ito , Shonosuke Sugasawa

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

统计方法学 · 统计学 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally…

数值分析 · 数学 2024-07-01 Daniel Eckhardt , Marlis Hochbruck , Barbara Verfürth

Many imputation methods are based on statistical models that assume that the variable of interest is a noisy observation of a function of the auxiliary variables or covariates. Misspecification of this model may lead to severe errors in…

统计方法学 · 统计学 2022-02-09 Caren Hasler , Radu V. Craiu

Discrete empirical interpolation method (DEIM) estimates a function from its incomplete pointwise measurements. Unfortunately, DEIM suffers large interpolation errors when few measurements are available. Here, we introduce Sparse DEIM…

数值分析 · 数学 2024-09-04 Mohammad Farazmand

We analyze a lightweight simulation-based inference method that infers simulator parameters using only a regression-based projection of the observed data. After fitting a surrogate linear regression once, the procedure simulates small…

统计方法学 · 统计学 2026-02-04 Arya Farahi , Jonah Rose , Paul Torrey

Simulation-based inference (SBI) methods such as approximate Bayesian computation (ABC), synthetic likelihood, and neural posterior estimation (NPE) rely on simulating statistics to infer parameters of intractable likelihood models.…

机器学习 · 统计学 2023-10-06 Daolang Huang , Ayush Bharti , Amauri Souza , Luigi Acerbi , Samuel Kaski

A single-index model (SIM) provides for parsimonious multi-dimensional nonlinear regression by combining parametric (linear) projection with univariate nonparametric (non-linear) regression models. We show that a particular Gaussian process…

统计方法学 · 统计学 2011-08-18 Robert B. Gramacy , Heng Lian

We propose a novel estimation procedure for certain spectral distributions associated with a class of high dimensional linear time series. The processes under consideration are of the form $X_t = \sum_{\ell=0}^\infty \mathbf{A}_\ell…

统计理论 · 数学 2025-04-15 Jamshid Namdari , Alexander Aue , Debashis Paul