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Adaptive Cluster Sampling (ACS) is introduced as a technique to use when "natural" groupings are evident in a spatially distributed population, especially sparsely distributed populations. An ACS sampling design will allow efficient…

Statistics Theory · Mathematics 2013-04-10 Aneesh Hariharan , Vincent Gallucci , Craig Heberer

The extremal dependence structure of a regularly varying $d$-dimensional random vector can be described by its angular measure. The standard nonparametric estimator of this measure is the empirical measure of the observed angles of the $k$…

Statistics Theory · Mathematics 2025-03-31 Holger Drees

The large-system performance of MAP estimation is studied considering a general distortion function when the observation vector is received through a linear system with additive white Gaussian noise. The analysis considers the system matrix…

Information Theory · Computer Science 2017-10-24 Ali Bereyhi , Ralf R. Müller , Hermann Schulz-Baldes

Objective: To investigate the impact of different logistic regression estimators applied to RDS samples obtained by simulation and real data. Methods: Four simulated populations were created combining different connectivity models, levels…

Cut-to-length harvesters collect useful information for modeling relationships between forest attributes and airborne laser scanning (ALS) data. However, harvesters operate in mature forests, which may introduce selection biases that can…

Applications · Statistics 2022-12-20 Janne Räty , Marius Hauglin , Rasmus Astrup , Johannes Breidenbach

Over the last three decades, ensemble forecasts have become an integral part of forecasting the weather. They provide users with more complete information than single forecasts as they permit to estimate the probability of weather events by…

We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

Machine Learning · Statistics 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz

Traditional direct estimation methods are not efficient for domains of a survey population with small sample sizes. To estimate the domain proportions, we combine the direct estimators and the regression-synthetic estimators based on…

Methodology · Statistics 2022-03-01 Andrius Čiginas

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme,…

Statistics Theory · Mathematics 2007-10-17 M. Khoshnevisan , Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

It is well-known that the approximate factor models have the rotation indeterminacy. It has been considered that the principal component (PC) estimators estimate some rotations of the true factors and factor loadings, but the rotation…

Statistics Theory · Mathematics 2023-11-02 Peiyun Jiang , Yoshimasa Uematsu , Takashi Yamagata

Mixtures of Gaussian factors are powerful tools for modeling an unobserved heterogeneous population, offering - at the same time - dimension reduction and model-based clustering. Unfortunately, the high prevalence of spurious solutions and…

Methodology · Statistics 2016-08-08 L. A. García-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

In epidemiology, obtaining accurate individual exposure measurements can be costly and challenging. Thus, these measurements are often subject to error. Regression calibration with a validation study is widely employed as a study design and…

Methodology · Statistics 2026-02-24 Zexiang Li , Donna Spiegelman , Molin Wang , Zuoheng Wang , Xin Zhou

Covariate-adaptive randomization is widely used in clinical trials to balance prognostic factors, and regression adjustments are often adopted to further enhance the estimation and inference efficiency. In practice, the covariates may…

Methodology · Statistics 2025-08-15 Wanjia Fu , Yingying Ma , Hanzhong Liu

Biomedical studies have a common interest in assessing relationships between multiple related health outcomes and high-dimensional predictors. For example, in reproductive epidemiology, one may collect pregnancy outcomes such as length of…

Applications · Statistics 2011-11-24 Bin Zhu , David B. Dunson , Allison E. Ashley-Koch

Bayesian hierarchical methods implemented for small area estimation focus on reducing the noise variation in published government official statistics by borrowing information among dependent response values. Even the most flexible models…

Methodology · Statistics 2015-08-05 Terrance D. Savitsky

Estimates of the approximate factor model are increasingly used in empirical work. Their theoretical properties, studied some twenty years ago, also laid the ground work for analysis on large dimensional panel data models with cross-section…

Econometrics · Economics 2020-08-04 Jushan Bai , Serena Ng

Shrinkage estimates of small domain parameters typically utilize a combination of a noisy "direct" estimate that only uses data from a specific small domain and a more stable regression estimate. When the regression model is misspecified,…

Methodology · Statistics 2022-01-11 Nicholas C. Henderson , Ravi Varadhan , Thomas A. Louis

Correctness of instance segmentation constitutes counting the number of objects, correctly localizing all predictions and classifying each localized prediction. Average Precision is the de-facto metric used to measure all these constituents…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Rohit Jena , Lukas Zhornyak , Nehal Doiphode , Pratik Chaudhari , Vivek Buch , James Gee , Jianbo Shi

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

Performing exact posterior inference in complex generative models is often difficult or impossible due to an expensive to evaluate or intractable likelihood function. Approximate Bayesian computation (ABC) is an inference framework that…

Machine Learning · Statistics 2016-02-16 Jovana Mitrovic , Dino Sejdinovic , Yee Whye Teh
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