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The bootstrap is a widely used procedure for statistical inference because of its simplicity and attractive statistical properties. However, the vanilla version of bootstrap is no longer feasible computationally for many modern massive…

Methodology · Statistics 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

Methodology · Statistics 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

A novel algorithm is developed to downscale soil moisture (SM), obtained at satellite scales of 10-40 km by utilizing its temporal correlations to historical auxiliary data at finer scales. Including such correlations drastically reduces…

Computer Vision and Pattern Recognition · Computer Science 2016-01-22 Subit Chakrabarti , Jasmeet Judge , Tara Bongiovanni , Anand Rangarajan , Sanjay Ranka

The aim of this paper is to explore and develop advanced spatial Bayesian assessment methods and techniques for land use modeling. The paper provides a comprehensive guide for assessing additional informational entropy value of model…

Methodology · Statistics 2008-06-17 Kostas Alexandridis , Bryan C. Pijanowski

This paper investigates the finite sample performance of a range of parametric, semi-parametric, and non-parametric instrumental variable estimators when controlling for a fixed set of covariates to evaluate the local average treatment…

Econometrics · Economics 2022-12-15 Hugo Bodory , Martin Huber , Michael Lechner

We propose a tree-level biomass estimation model approximating allometric equations by LiDAR data. Since tree crown diameters estimation is challenging from spaceborne LiDAR measurements, we develop a model to correlate tree height with…

Applications · Statistics 2023-05-18 Qian Song , Conrad M Albrecht , Zhitong Xiong , Xiao Xiang Zhu

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

Methodology · Statistics 2026-01-14 Kosuke Morikawa , Jae Kwang Kim

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

Methodology · Statistics 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

Fine particulate matter, PM$_{2.5}$, has been documented to have adverse health effects and wildland fires are a major contributor to PM$_{2.5}$ air pollution in the US. Forecasters use numerical models to predict PM$_{2.5}$ concentrations…

Applications · Statistics 2019-09-30 Suman Majumder , Yawen Guan , Brian J. Reich , Susan O'Neill , Ana G. Rappold

Spatiotemporal data analysis with massive zeros is widely used in many areas such as epidemiology and public health. We use a Bayesian framework to fit zero-inflated negative binomial models and employ a set of latent variables from…

Methodology · Statistics 2024-02-08 Qing He , Hsin-Hsiung Huang

Constructing confidence intervals for the coefficients of high-dimensional sparse linear models remains a challenge, mainly because of the complicated limiting distributions of the widely used estimators, such as the lasso. Several methods…

Methodology · Statistics 2020-03-17 Hanzhong Liu , Xin Xu , Jingyi Jessica Li

Random forests have proven to be reliable predictive algorithms in many application areas. Not much is known, however, about the statistical properties of random forests. Several authors have established conditions under which their…

Statistics Theory · Mathematics 2016-05-05 Stefan Wager

This paper presents an estimator for semiparametric models that uses a feed-forward neural network to fit the nonparametric component. Unlike many methodologies from the machine learning literature, this approach is suitable for…

Applications · Statistics 2017-05-19 Andrew Crane-Droesch

The bootstrap provides a simple and powerful means of assessing the quality of estimators. However, in settings involving large datasets---which are increasingly prevalent---the computation of bootstrap-based quantities can be prohibitively…

Methodology · Statistics 2012-06-29 Ariel Kleiner , Ameet Talwalkar , Purnamrita Sarkar , Michael I. Jordan

Policy measures and management decisions aiming at enhancing the role of forests in mitigating climate-change require reliable estimates of C-stock dynamics in greenhouse gas inventories (GHGIs). Aim of this study was to assemble…

With recent developments in remote sensing technologies, plot-level forest resources can be predicted utilizing airborne laser scanning (ALS). The prediction is often assisted by mostly vertical summaries of the ALS point clouds. We present…

Applications · Statistics 2021-05-03 Henrike Häbel , András Balázs , Mari Myllymäki

We introduce a modification of Random Forests to estimate functions when unobserved confounding variables are present. The technique is tailored for high-dimensional settings with many observed covariates. We use spectral deconfounding…

Computation · Statistics 2025-09-25 Markus Ulmer , Cyrill Scheidegger , Peter Bühlmann

The development of low-cost sensors and novel calibration algorithms offer new opportunities to supplement existing regulatory networks to measure air pollutants at a high spatial resolution and at hourly and sub-hourly timescales. We use a…

Small area estimation under linear mixed models often assumes that the small area effect is random effect in almost all previous studies. However, in this paper a new approach is proposed explaining small area effect as the unknown function…

Methodology · Statistics 2014-04-16 Rong Zhu , Guohua Zou , Chun Wang , Yi Hu

The ICESat-2, launched in 2018, carries the ATLAS instrument, which is a photon-counting spaceborne lidar that provides strip samples over the terrain. While primarily designed for snow and ice monitoring, there has been a great interest in…

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