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Ecological Momentary Assessments (EMA) capture real-time thoughts and behaviors in natural settings, producing rich longitudinal data for statistical and physiological analyses. However, the robustness of these analyses can be compromised…

Methodology · Statistics 2023-11-21 Yiheng Wei , Donald Hedeker

We endeavour to estimate numerous multi-dimensional means of various probability distributions on a common space based on independent samples. Our approach involves forming estimators through convex combinations of empirical means derived…

Machine Learning · Statistics 2025-03-11 Gilles Blanchard , Jean-Baptiste Fermanian , Hannah Marienwald

Modeling and computation for multivariate longitudinal surveys have proven challenging, particularly when data are not all continuous and Gaussian but contain discrete measurements. In many social science surveys, study participants are…

Applications · Statistics 2016-06-09 Tsuyoshi Kunihama , Carolyn T. Halpern , Amy H. Herring

In this paper, the problem of target localization in the presence of outlying sensors is tackled. This problem is important in practice because in many real-world applications the sensors might report irrelevant data unintentionally or…

Optimization and Control · Mathematics 2018-02-15 Alireza Zaeemzadeh , Mohsen Joneidi , Behzad Shahrasbi , Nazanin Rahnavard

As quantum tomography is becoming a key component of the quantum engineering toolbox, there is a need for a deeper understanding of the multitude of estimation methods available. Here we investigate and compare several such methods: maximum…

Quantum Physics · Physics 2019-05-22 Anirudh Acharya , Theodore Kypraios , Madalin Guta

We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect the location of the inhomogeneity in the…

Numerical Analysis · Mathematics 2022-01-04 Kazufumi Ito , Ying Liang , Jun Zou

Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

Methodology · Statistics 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

We present a general framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase…

Quantum Physics · Physics 2014-08-12 Jie-Dong Yue , Yu-Ran Zhang , Heng Fan

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

Statistics Theory · Mathematics 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

Small area estimation using survey data can be achieved by using either a design-based or a model-based inferential approach. Design-based direct estimators are generally preferable because of their consistency, asymptotic normality, and…

Methodology · Statistics 2025-10-13 Alana McGovern , Katherine Wilson , Jon Wakefield

Social and economic studies are often implemented as complex survey designs. For example, multistage, unequal probability sampling designs utilized by federal statistical agencies are typically constructed to maximize the efficiency of the…

Methodology · Statistics 2020-06-09 Matthew R. Williams , Terrance D. Savitsky

Small area estimation models are typically based on the normality assumption of response variables. More recently, attention has been drawn to the transformation of the original variables to justify the assumption of normality. Variance…

Methodology · Statistics 2025-07-08 Masayo Y. Hirose , Malay Ghosh , Mayumi Oka

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

Missing value is a very common and unavoidable problem in sensors, and researchers have made numerous attempts for missing value imputation, particularly in deep learning models. However, for real sensor data, the specific data distribution…

Machine Learning · Computer Science 2022-09-27 JinSheng Yang , YuanHai Shao , ChunNa Li , Wensi Wang

Recent advances in multiplex imaging have enabled researchers to locate different types of cells within a tissue sample. This is especially relevant for tumor immunology, as clinical regimes corresponding to different stages of disease or…

Subclassification estimators are one of the methods used to estimate causal effects of interest using the propensity score. This method is more stable compared to other weighting methods, such as inverse probability weighting estimators, in…

Methodology · Statistics 2024-10-22 Shunichiro Orihara , Tomotaka Momozaki

We study partially linear models in settings where observations are arranged in independent groups but may exhibit within-group dependence. Existing approaches estimate linear model parameters through weighted least squares, with optimal…

Methodology · Statistics 2024-04-16 Elliot H. Young , Rajen D. Shah

Semi-supervised learning has become a dominant paradigm for reducing annotation costs. However, we argue that the current progress is clouded by a twofold overconfidence problem. Algorithmically, mainstream pseudo-labeling frameworks often…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jun Li , Ziwei Qin

We develop an empirical Bayes procedure for estimating the cell means in an unbalanced, two-way additive model with fixed effects. We employ a hierarchical model, which reflects exchangeability of the effects within treatment and within…

Methodology · Statistics 2016-05-30 Lawrence D. Brown , Gourab Mukherjee , Asaf Weinstein
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