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The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

Econometrics · Economics 2023-12-01 Wenzheng Gao , Zhenting Sun

It can be argued that optimal prediction should take into account all available data. Therefore, to evaluate a prediction interval's performance one should employ conditional coverage probability, conditioning on all available observations.…

Statistics Theory · Mathematics 2021-03-02 Yunyi Zhang , Dimitris N. Politis

The bootstrap, based on resampling, has, for several decades, been a widely used method for computing confidence intervals for applications where no exact method is available and when sample sizes are not large enough to be able to rely on…

Applications · Statistics 2018-08-27 Chris Gotwalt , Li Xu , Yili Hong , William Q. Meeker

Estimating causal effects from large experimental and observational data has become increasingly prevalent in both industry and research. The bootstrap is an intuitive and powerful technique used to construct standard errors and confidence…

Methodology · Statistics 2023-02-07 Matthew Kosko , Lin Wang , Michele Santacatterina

We investigate asymptotic inference in a linear regression model where both response and regressors are functions, using an estimator based on functional principal components analysis. Although this approach is widely used in functional…

Methodology · Statistics 2026-03-16 Hyemin Yeon

We develop a continuous-time penalized regression framework for the estimation of time-varying coefficients and variable selection when both the response and covariates are It\^o semimartingales with jumps. The coefficient paths are…

Econometrics · Economics 2026-04-28 Aleksey Kolokolov , Shifan Yu

In this paper, we propose a new statistical inference method for massive data sets, which is very simple and efficient by combining divide-and-conquer method and empirical likelihood. Compared with two popular methods (the bag of little…

Methodology · Statistics 2020-04-21 Xuejun Ma , Shaochen Wang , Wang Zhou

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

Computation · Statistics 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

Methodology · Statistics 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

Applications · Statistics 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an…

Statistics Theory · Mathematics 2021-05-04 Laura Dumitrescu , Wei Qian , J. N. K. Rao

Randomized experiments are the gold standard for estimating treatment effects, and randomization serves as a reasoned basis for inference. In widely used stratified randomized experiments, randomization-based finite-population asymptotic…

Statistics Theory · Mathematics 2026-05-20 Haoyang Yu , Ke Zhu , Hanzhong Liu

In distributed, or privacy-preserving learning, we are often given a set of probabilistic models estimated from different local repositories, and asked to combine them into a single model that gives efficient statistical estimation. A…

Machine Learning · Statistics 2017-03-01 Jun Han , Qiang Liu

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

Methodology · Statistics 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

This work introduces Bayesian quantile regression modeling framework for the analysis of longitudinal count data. In this model, the response variable is not continuous and hence an artificial smoothing of counts is incorporated. The…

Methodology · Statistics 2023-06-19 Sanket Jantre

We rigorously extend the widely used wild bootstrap resampling technique to the multivariate Nelson-Aalen estimator under Aalen's multiplicative intensity model. Aalen's model covers general Markovian multistate models including competing…

Methodology · Statistics 2017-02-06 Tobias Bluhmki , Dennis Dobler , Jan Beyersmann , Markus Pauly

We investigate popular resampling methods for estimating the uncertainty of statistical models, such as subsampling, bootstrap and the jackknife, and their performance in high-dimensional supervised regression tasks. We provide a tight…