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Imputation is a popular technique for handling item nonresponse in survey sampling. Parametric imputation is based on a parametric model for imputation and is less robust against the failure of the imputation model. Nonparametric imputation…

Methodology · Statistics 2019-09-20 Danhyang Lee , Jae Kwang Kim

When a strict subset of covariates are given, we propose conditional quantile treatment effect to capture the heterogeneity of treatment effects via the quantile sheet that is the function of the given covariates and quantile. We focus on…

Statistics Theory · Mathematics 2020-09-23 Niwen Zhou , Xu Guo , Lixing Zhu

In the framework of censored data modeling, the classical linear regression model that assumes normally distributed random errors has received increasing attention in recent years, mainly for mathematical and computational convenience.…

Methodology · Statistics 2020-11-17 Mehrdad Naderi , Elham Mirfarah , Matthew Bernhardt , Ding-Geng Chen

Consider semiparametric estimation where a doubly robust estimating function for a low-dimensional parameter is available, depending on two working models. With high-dimensional data, we develop regularized calibrated estimation as a…

Methodology · Statistics 2020-09-28 Satyajit Ghosh , Zhiqiang Tan

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

Applications · Statistics 2018-10-12 Pavel Krupskii , Marc G. Genton

The statistical analysis of univariate quantiles is a well developed research topic. However, there is a need for research in multivariate quantiles. We construct bivariate (conditional) quantiles using the level curves of vine copula based…

Methodology · Statistics 2023-07-04 Marija Tepegjozova , Claudia Czado

This paper develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile…

Methodology · Statistics 2020-12-22 Zhengwu Zhang , Xiao Wang , Linglong Kong , Hongtu Zhu

A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation-maximization…

Computation · Statistics 2014-01-16 Xiaoling Dou , Satoshi Kuriki , Gwo Dong Lin , Donald Richards

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

Methodology · Statistics 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stochastic optimization problems. Recursive constrained…

Statistics Theory · Mathematics 2024-09-05 Vladimir Norkin , Vladimir Kirilyuk

In this paper we consider a time-to-event variable $T$ that is subject to random right censoring, and we assume that the censoring time $C$ is stochastically dependent on $T$ and that there is a positive probability of not observing the…

Methodology · Statistics 2024-03-14 Morine Delhelle , Ingrid Van Keilegom

We propose a new semiparametric approach for modelling nonlinear univariate diffusions, where the observed process is a nonparametric transformation of an underlying parametric diffusion (UPD). This modelling strategy yields a general class…

Econometrics · Economics 2020-05-08 Ruijun Bu , Kaddour Hadri , Dennis Kristensen

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

Methodology · Statistics 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

Machine Learning · Statistics 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

To better understand the interplay of censoring and sparsity we develop finite sample properties of nonparametric Cox proportional hazard's model. Due to high impact of sequencing data, carrying genetic information of each individual, we…

Statistics Theory · Mathematics 2019-07-31 Jelena Bradic , Rui Song

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

Analysts are often confronted with censoring, wherein some variables are not observed at their true value, but rather at a value that is known to fall above or below that truth. While much attention has been given to the analysis of…

Methodology · Statistics 2024-05-31 Sarah C. Lotspeich , Kyle F. Grosser , Tanya P. Garcia

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

Methodology · Statistics 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

Statistics Theory · Mathematics 2008-12-18 Olivier Lopez

Extreme-value copulas arise as the limiting dependence structure of component-wise maxima. Defined in terms of a functional parameter, they are one of the most widespread copula families due to their flexibility and ability to capture…

Methodology · Statistics 2022-03-25 Javier Fernández Serrano
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