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Different statistical samples (e.g., from different locations) offer populations and learning systems observations with distinct statistical properties. Samples under (1) 'Unconfounded' growth preserve systems' ability to determine the…

Methodology · Statistics 2025-08-05 Andre F. Ribeiro

We consider the problem of deciding on sampling strategy, in particular sampling design. We propose a risk measure, whose minimizing value guides the choice. The method makes use of a superpopulation model and takes into account uncertainty…

Methodology · Statistics 2020-07-06 Edgar Bueno , Dan Hedlin

In this paper we consider the estimation of population size from one-source capture--recapture data, that is, a list in which individuals can potentially be found repeatedly and where the question is how many individuals are missed by the…

Applications · Statistics 2009-08-18 Dankmar Böhning , Peter G. M. van der Heijden

Focusing on a specific crowd dynamics situation, including real life experiments and measurements, our paper targets a twofold aim: (1) we present a Bayesian probabilistic method to estimate the value and the uncertainty (in the form of a…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Alessandro Corbetta , Adrian Muntean , Federico Toschi , Kiamars Vafayi

Probabilities of causation (PoCs), such as the probability of necessity and sufficiency (PNS), are important tools for decision making but are generally not point identifiable. Existing work has derived bounds for these quantities using…

Methodology · Statistics 2026-02-20 Tianyuan Cheng , Ruirui Mao , Judea Pearl , Ang Li

When longitudinal outcomes are evaluated in mortal populations, their non-existence after death complicates the analysis and its causal interpretation. Where popular methods often merge longitudinal outcome and survival into one scale or…

For testing the statistical significance of a treatment effect, we usually compare between two parts of a population, one is exposed to the treatment, and the other is not exposed to it. Standard parametric and nonparametric two-sample…

Computation · Statistics 2012-11-02 Bikram Karmakar , Kumaresh Dhara , Kushal Kumar Dey , Analabha Basu , Anil Ghosh

Two-sample testing is a fundamental problem in statistics. Despite its long history, there has been renewed interest in this problem with the advent of high-dimensional and complex data. Specifically, in the machine learning literature,…

Methodology · Statistics 2019-11-19 Ilmun Kim , Ann B. Lee , Jing Lei

Respondent-Driven Sampling is a method to sample hard-to-reach human populations by link-tracing over their social networks. Beginning with a convenience sample, each person sampled is given a small number of uniquely identified coupons to…

Methodology · Statistics 2011-08-02 Krista J. Gile , Mark S. Handcock

The capture-recapture method can be applied to measure the coverage of administrative and big data sources, in official statistics. In its basic form, it involves the linkage of two sources while assuming a perfect linkage and other…

Methodology · Statistics 2024-03-19 Abel Dasylva , Arthur Goussanou , Christian-Olivier Nambeu

Effective surveillance on the long-term public health impact due to war and terrorist attacks remain limited. Such health issues are commonly under-reported, specifically for a large group of individuals. For this purpose, efficient…

Applications · Statistics 2023-09-12 Prajamitra Bhuyan , Kiranmoy Chatterjee

We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

Machine Learning · Computer Science 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros

Cluster sampling is common in survey practice, and the corresponding inference has been predominantly design-based. We develop a Bayesian framework for cluster sampling and account for the design effect in the outcome modeling. We consider…

Methodology · Statistics 2020-06-24 Susanna Makela , Yajuan Si , Andrew Gelman

Model-based Bayesian inference for sample and population-level causal estimands has been growing in popularity. This literature routinely emphasizes clear specification of the target estimand, however blind implementation of standard…

Methodology · Statistics 2026-05-12 Arman Oganisian

The increasing interest in subpopulation analysis has led to the development of various new trial designs and analysis methods in the fields of personalized medicine and targeted therapies. In this paper, subpopulations are defined in terms…

Methodology · Statistics 2020-12-01 Roland Gerard Gera , Tim Friede

The Curie-Weiss model, originally used to study phase transitions in statistical mechanics, has been adapted to model phenomena in social sciences where many agents interact with each other. Reconstructing the probability measure of a…

Statistics Theory · Mathematics 2025-07-24 Miguel Ballesteros , Ivan Naumkin , Gabor Toth

Mendelian randomization is a powerful tool for causal inference in observational studies. The two-sample summary-data design, which estimates genetic associations with exposures and outcomes in separate cohorts, is the most widely used…

Methodology · Statistics 2026-04-29 Dingke Tang , Xuming He , Shu Yang

If part of a population is hidden but two or more sources are available that each cover parts of this population, dual- or multiple-system(s) estimation can be applied to estimate this population. For this it is common to use the log-linear…

Methodology · Statistics 2023-11-06 Daan B. Zult , Peter G. M. van der Heijden , Bart F. M. Bakker

Consider an experiment involving a potentially small number of subjects. Some random variables are observed on each subject: a high-dimensional one called the "observed" random variable, and a one-dimensional one called the "outcome" random…

Machine Learning · Statistics 2018-06-15 Tarun Yellamraju , Mireille Boutin

The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling and systematic sampling. This volume is a collection of five papers. The following problems…

Statistics Theory · Mathematics 2013-08-28 Rajesh Singh , Florentin Smarandache
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