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We introduce computational methods that allow for effective estimation of a flexible, parametric non-stationary spatial model when the field size is too large to compute the multivariate normal likelihood directly. In this method, the field…

Computation · Statistics 2018-09-20 Amanda Muyskens , Joseph Guinness , Montserrat Fuentes

Observational studies require adjustment for confounding factors that are correlated with both the treatment and outcome. In the setting where the observed variables are tabular quantities such as average income in a neighborhood, tools…

Machine Learning · Statistics 2023-01-31 Connor T. Jerzak , Fredrik Johansson , Adel Daoud

Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

Machine Learning · Computer Science 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

This paper addresses the problem of recovering the spatial market potential of a retail product from spatially distributed sales data. In order to tackle the problem in a general way, the concept of spatial potential is introduced. The…

Applications · Statistics 2015-03-13 Francesco Finazzi

In low-resource settings, prevalence mapping relies on empirical prevalence data from a finite, often spatially sparse, set of surveys of communities within the region of interest, possibly supplemented by remotely sensed images that can…

Applications · Statistics 2015-05-27 Peter J. Diggle , Emanuele Giorgi

Auxiliary information is increasingly available from administrative and other data sources, but it is often incomplete and of non-probability origin. We propose a two-step small area estimation approach in which the first step relies on…

Methodology · Statistics 2026-02-16 Donatas Šlevinskas , Ieva Burakauskaitė , Andrius Čiginas

Most general-purpose classification methods, such as support-vector machine (SVM) and random forest (RF), fail to account for an unusual characteristic of astronomical data: known measurement error uncertainties. In astronomical data, this…

Instrumentation and Methods for Astrophysics · Physics 2022-06-17 Sarah Shy , Hyungsuk Tak , Eric D. Feigelson , John D. Timlin , G. Jogesh Babu

Incomplete covariate vectors are known to be problematic for estimation and inferences on model parameters, but their impact on prediction performance is less understood. We develop an imputation-free method that builds on a random…

Methodology · Statistics 2024-05-31 Matthew J. Heiner , Garritt L. Page , Fernando Andrés Quintana

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

A practical challenge which arises in the operation of sensor networks is the presence of sensor faults, biases, or adversarial attacks, which can lead to significant errors incurring in the localization of the agents, thereby undermining…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Shiraz Khan , Inseok Hwang

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar `estimator plus and minus a standard error times a critical value' form, but we propose new methods…

Econometrics · Economics 2021-02-19 Ulrich K. Müller , Mark W. Watson

Covariance localization is a critical component of ensemble-based data assimilation (DA) and many current localization schemes simply dampen correlations as a function of distance. Increases in computational resources, broadening scope of…

Data Analysis, Statistics and Probability · Physics 2025-08-27 Shay Gilpin , Matthias Morzfeld , Kevin K. Lin

We consider statistics of spatial averages estimated by weighting observations over an arbitrary spatial domain using identical and independent measuring devices, and derive an account of bias and variance in the presence of missing…

Methodology · Statistics 2025-03-17 Ashwin K Seshadri

Attitude estimation methods typically rely on full vector measurements from inertial sensors such as accelerometers and magnetometers. This paper shows that reliable estimation can also be achieved using only scalar measurements, which…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Alessandro Melis , Tarek Bouazza , Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarek Hamel

This paper presents an innovative extension of spatial autoregressive (SAR) models, introducing spatial coefficients specific to each spatial region that evolve over time. The proposed estimation methodology covers both homoscedastic and…

Methodology · Statistics 2025-02-24 N. A. Cruz , D. A. Romero , O. O. Melo

Conformal prediction has received tremendous attention in recent years and has offered new solutions to problems in missing data and causal inference; yet these advances have not leveraged modern semiparametric efficiency theory for more…

Methodology · Statistics 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

Methodology · Statistics 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

Spatial microeconometric studies typically suffer from various forms of inaccuracies that are not present when dealing with the classical regional spatial econometrics models. Among those, missing data, locational errors, sampling without a…

Methodology · Statistics 2019-04-04 Giuseppe Arbia , Paolo Berta , Carrie B. Dolan