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We present and analyze an algorithm designed for addressing vector-valued regression problems involving possibly infinite-dimensional input and output spaces. The algorithm is a randomized adaptation of reduced rank regression, a technique…

机器学习 · 计算机科学 2024-01-01 Giacomo Turri , Vladimir Kostic , Pietro Novelli , Massimiliano Pontil

We prove theorems about the Gaussian asymptotics of an empirical bridge built from linear model regressors with multiple regressor ordering. We study the testing of the hypothesis of a linear model for the components of a random vector: one…

统计理论 · 数学 2021-06-15 Mikhail Chebunin , Artyom Kovalevskii

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

统计方法学 · 统计学 2025-04-17 Jing Zou , Wei Li , Wei Lin

It is often of interest to make inference on an unknown function that is a local parameter of the data-generating mechanism, such as a density or regression function. Such estimands can typically only be estimated at a…

统计方法学 · 统计学 2021-05-17 Aaron Hudson , Marco Carone , Ali Shojaie

In this paper we consider a regression model that allows for time series covariates as well as heteroscedasticity with a regression function that is modelled nonparametrically. We assume that the regression function changes at some unknown…

统计理论 · 数学 2019-09-17 Maria Mohr , Leonie Selk

The problem of estimating censored linear regression models with autocorrelated errors arises in many environmental and social studies. The present work proposes a Bayesian approach to estimate censored regression models with AR(p) errors.…

统计方法学 · 统计学 2023-01-06 Rodney Sousa , Isabel Pereira , Maria Eduarda Silva , Brendan McCabe

In this paper, we introduce a family of robust estimates for the parametric and nonparametric components under a generalized partially linear model, where the data are modeled by $y_i|(\mathbf{x}_i,t_i)\sim F(\cdot,\mu_i)$ with…

统计方法学 · 统计学 2011-11-10 Graciela Boente , Xuming He , Jianhui Zhou

Cohort studies of the onset of a disease often encounter left-truncation on the event time of interest in addition to right-censoring due to variable enrollment times of study participants. Analysis of such event time data can be biased if…

统计方法学 · 统计学 2025-04-11 Spencer Matthews , Bin Nan

In the context of right-censored and interval-censored data we develop asymptotic formulas to compute pseudo-observations for the survival function and the Restricted Mean Survival Time (RMST). Those formulas are based on the original…

统计理论 · 数学 2023-02-07 Olivier Bouaziz

When estimating a regression model, we might have data where some labels are missing, or our data might be biased by a selection mechanism. When the response or selection mechanism is ignorable (i.e., independent of the response variable…

统计理论 · 数学 2023-08-22 Philip Boeken , Noud de Kroon , Mathijs de Jong , Joris M. Mooij , Onno Zoeter

We consider quantile regression processes from censored data under dependent data structures and derive a uniform Bahadur representation for those processes. We also consider cases where the dimension of the parameter in the quantile…

统计理论 · 数学 2013-06-14 Stanislav Volgushev , Jens Wagener , Holger Dette

Traditional parametric econometric models often rely on rigid functional forms, while nonparametric techniques, despite their flexibility, frequently lack interpretability. This paper proposes a parsimonious alternative by modeling the…

统计方法学 · 统计学 2025-02-20 Ricardo Masini , Marcelo Medeiros

Ranked data appear in many different applications, including voting and consumer surveys. There often exhibits a situation in which data are partially ranked. Partially ranked data is thought of as missing data. This paper addresses…

统计方法学 · 统计学 2019-03-01 Kento Nakamura , Keisuke Yano , Fumiyasu Komaki

Censored quantile regression has emerged as a prominent alternative to classical Cox's proportional hazards model or accelerated failure time model in both theoretical and applied statistics. While quantile regression has been extensively…

统计方法学 · 统计学 2024-08-27 Taehwa Choi , Seohyeon Park , Hunyong Cho , Sangbum Choi

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

机器学习 · 统计学 2019-02-12 Alexander Hanbo Li , Jelena Bradic

We propose a novel estimation approach for a general class of semi-parametric time series models where the conditional expectation is modeled through a parametric function. The proposed class of estimators is based on a Gaussian…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta , Paolo Gorgi

Doubly protected estimators are widely used for estimating the population mean of an outcome Y from a sample where the response is missing in some individuals. To compensate for the missing responses, a vector X of covariates is observed at…

统计方法学 · 统计学 2017-11-07 Julieta Molina , Mariela Sued , Marina Valdora , Víctor Yohai

Semi-supervised learning has attracted significant attention due to the proliferation of applications featuring limited labeled data but abundant unlabeled data. In this paper, we examine the statistical inference problem in an…

统计方法学 · 统计学 2026-03-31 Chao Ying , Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

统计理论 · 数学 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

\noindent Randomized nomination sampling (RNS) is a rank-based sampling technique which has been shown to be effective in several nonparametric studies involving environmental and ecological applications. In this paper, we investigate…

统计方法学 · 统计学 2015-12-18 Mohammad Nourmohammadi , Mohammad Jafari Jozani , Brad Johnson