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In this paper, we consider the problem of estimating the covariance kernel and its eigenvalues and eigenfunctions from sparse, irregularly observed, noise corrupted and (possibly) correlated functional data. We present a method based on…

Methodology · Statistics 2008-07-09 Debashis Paul , Jie Peng

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

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…

Methodology · Statistics 2022-02-09 Caren Hasler , Radu V. Craiu

This paper develops a nonparametric density estimator with parametric overtones. Suppose $f(x,\theta)$ is some family of densities, indexed by a vector of parameters $\theta$. We define a local kernel smoothed likelihood function which for…

Methodology · Statistics 2026-04-22 Nils Lid Hjort , M. C. Jones

Accurate calibration of probabilistic predictive models learned is critical for many practical prediction and decision-making tasks. There are two main categories of methods for building calibrated classifiers. One approach is to develop…

Machine Learning · Statistics 2014-01-16 Mahdi Pakdaman Naeini , Gregory F. Cooper , Milos Hauskrecht

In this paper, we are concerned with how to select significant variables in semiparametric modeling. Variable selection for semiparametric regression models consists of two components: model selection for nonparametric components and…

Statistics Theory · Mathematics 2008-12-18 Runze Li , Hua Liang

We study generalized additive partial linear models, proposing the use of polynomial spline smoothing for estimation of nonparametric functions, and deriving quasi-likelihood based estimators for the linear parameters. We establish…

Statistics Theory · Mathematics 2011-12-13 Li Wang , Xiang Liu , Hua Liang , Raymond J. Carroll

Non-parametric estimation of a multivariate density estimation is tackled via a method which combines traditional local smoothing with a form of global smoothing but without imposing a rigid structure. Simulation work delivers encouraging…

Methodology · Statistics 2016-10-10 Adelchi Azzalini

Conformal inference is a versatile tool for building prediction sets in regression or classification. We study the false coverage proportion (FCP) in a simultaneous inference setting with a calibration sample of $n$ points and a test sample…

Statistics Theory · Mathematics 2026-02-19 Ulysse Gazin

We propose a generalized partially linear functional single index risk score model for repeatedly measured outcomes where the index itself is a function of time. We fuse the nonparametric kernel method and regression spline method, and…

Statistics Theory · Mathematics 2015-10-15 Fei Jiang , Yanyuan Ma , Yuanjia Wang

This paper proposes a~simple, yet powerful, method for balancing distributions of covariates for causal inference based on observational studies. The method makes it possible to balance an arbitrary number of quantiles (e.g., medians,…

Methodology · Statistics 2024-03-14 Maciej Beręsewicz

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

Machine Learning · Statistics 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim

We construct a family of estimators for a regression function based on a sample following a qdistribution. Our approach is nonparametric, using kernel methods built from operations that leverage the properties of q-calculus. Furthermore,…

Statistics Theory · Mathematics 2025-03-11 Emmanuel De Dieu Nkou , Fridolin Melong

This paper deals with the nonparametric density estimation of the regression error term assuming its independence with the covariate. The difference between the feasible estimator which uses the estimated residuals and the unfeasible one…

Statistics Theory · Mathematics 2010-10-05 Rawane Samb

In the context of the usual calibration model, we consider the case in which the independent variable is unobservable, but a pre-fixed value on its surrogate is available. Thus, considering controlled variables and assuming that the…

Applications · Statistics 2008-02-06 Betsabé G. Blas Achic , Mônica C. Sandoval , Olga Satomi Yoshida

Nonresponse is common in surveys. When the response probability of a survey variable $Y$ depends on $Y$ through an observed auxiliary categorical variable $Z$ (i.e., the response probability of $Y$ is conditionally independent of $Y$ given…

Methodology · Statistics 2009-03-04 Fang Fang , Quan Hong , Jun Shao

In this paper, we present an efficient algorithm for solving a class of chance constrained optimization under non-parametric uncertainty. Our algorithm is built on the possibility of representing arbitrary distributions as functions in…

Robotics · Computer Science 2018-11-26 Bharath Gopalakrishnan , Arun Kumar Singh , K. Madhava Krishna , Dinesh Manocha

For personalized ranking models, the well-calibrated probability of an item being preferred by a user has great practical value. While existing work shows promising results in image classification, probability calibration has not been much…

Information Retrieval · Computer Science 2022-04-27 Wonbin Kweon , SeongKu Kang , Hwanjo Yu

This paper considers the problem of multi-sample nonparametric comparison of counting processes with panel count data, which arise naturally when recurrent events are considered. Such data frequently occur in medical follow-up studies and…

Statistics Theory · Mathematics 2009-04-21 N. Balakrishnan , Xingqiu Zhao
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