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There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

统计理论 · 数学 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

Observational cohort studies with oversampled exposed subjects are typically implemented to understand the causal effect of a rare exposure. Because the distribution of exposed subjects in the sample differs from the source population,…

统计方法学 · 统计学 2019-02-14 Sherri Rose

The likelihood function is a fundamental component in Bayesian statistics. However, evaluating the likelihood of an observation is computationally intractable in many applications. In this paper, we propose a non-parametric approximation of…

机器学习 · 计算机科学 2019-10-24 Viet Anh Nguyen , Soroosh Shafieezadeh-Abadeh , Man-Chung Yue , Daniel Kuhn , Wolfram Wiesemann

Applications such as weather forecasting and personalized medicine demand models that output calibrated probability estimates---those representative of the true likelihood of a prediction. Most models are not calibrated out of the box but…

机器学习 · 计算机科学 2020-02-03 Ananya Kumar , Percy Liang , Tengyu Ma

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

统计方法学 · 统计学 2020-01-13 Shu Yang , Jae Kwang Kim

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

统计方法学 · 统计学 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

In this paper, we introduce a flexible and widely applicable nonparametric entropy-based testing procedure that can be used to assess the validity of simple hypotheses about a specific parametric population distribution. The testing…

计量经济学 · 经济学 2022-01-19 Ron Mittelhammer , George Judge , Miguel Henry

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

机器学习 · 统计学 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

Predictive mean matching imputation is popular for handling item nonresponse in survey sampling. In this article, we study the asymptotic properties of the predictive mean matching estimator of the population mean. For variance estimation,…

统计方法学 · 统计学 2018-01-16 Shu Yang , Jae Kwang Kim

The non-parametric estimation of covariance lies at the heart of functional data analysis, whether for curve or surface-valued data. The case of a two-dimensional domain poses both statistical and computational challenges, which are…

统计理论 · 数学 2022-01-19 Tomas Masak , Soham Sarkar , Victor M. Panaretos

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

统计方法学 · 统计学 2025-07-03 Daphné Aurouet , Valentin Patilea

We consider the sampling problem for functional PCA (fPCA), where the simplest example is the case of taking time samples of the underlying functional components. More generally, we model the sampling operation as a continuous linear map…

统计理论 · 数学 2013-02-14 Arash A. Amini , Martin J. Wainwright

We consider the problem of estimating the finite population mean $\bar{Y}$ of an outcome variable $Y$ using data from a nonprobability sample and auxiliary information from a probability sample. Existing double robust (DR) estimators of…

统计方法学 · 统计学 2025-10-30 Shaun Seaman

In the near future, millions of load curves measuring the electricity consumption of French households in small time grids (probably half hours) will be available. All these collected load curves represent a huge amount of information which…

统计方法学 · 统计学 2015-01-20 Hervé Cardot , Anne De Moliner , Camelia Goga

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

统计方法学 · 统计学 2025-09-17 Ji Chen , Jun Shao

Estimation of the mean vector and covariance matrix is of central importance in the analysis of multivariate data. In the framework of generalized linear models, usually the variances are certain functions of the means with the normal…

统计方法学 · 统计学 2023-01-25 Anupam Kundu , Mohsen Pourahmadi

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

统计方法学 · 统计学 2023-11-06 Rajesh Singh , Anamika Kumari

We consider the standard non-parametric regression model with Gaussian errors but where the data consist of different samples. The question to be answered is whether the samples can be adequately represented by the same regression function.…

统计理论 · 数学 2008-09-17 A. Kovac , P. L. Davies

It is well known that nonparametric regression estimation and inference procedures are subject to the curse of dimensionality. Moreover, model interpretability usually decreases with the data dimension. Therefore, model-free variable…

统计方法学 · 统计学 2025-05-22 Daniel Diz-Castro , Manuel Febrero-Bande , Wenceslao González-Manteiga

We study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

统计方法学 · 统计学 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina