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R2BEAT (R "to" Bethel Extended Allocation for Two-stage sampling) is an R package for the allocation of a sample. Besides other software and packages dealing with the allocation problems, its peculiarity lies in facing properly allocation…

Methodology · Statistics 2022-09-15 Giulio Barcaroli , Andrea Fasulo , Alessio Guandalini , Marco D. Terribili

The R package SamplingStrata was developed in 2011 as an instrument to optimize the design of stratified samples. The optimization is performed by considering the stratification variables available in the sampling frame, and the precision…

Methodology · Statistics 2020-04-21 Marco Ballin , Giulio Barcaroli

The optimum sample allocation in stratified sampling is one of the basic issues of survey methodology. It is a procedure of dividing the overall sample size into strata sample sizes in such a way that for given sampling designs in strata…

Methodology · Statistics 2024-03-27 Jacek Wesołowski , Robert Wieczorkowski , Wojciech Wójciak

Two-phase designs involve measuring extra variables on a subset of the cohort where some variables are already measured. The goal of two-phase designs is to choose a subsample of individuals from the cohort and analyse that subsample…

Applications · Statistics 2020-10-12 Tong Chen , Thomas Lumley

In this paper, we propose a stratified sampling algorithm in which the random drawings made in the strata to compute the expectation of interest are also used to adaptively modify the proportion of further drawings in each stratum. These…

Methodology · Statistics 2007-12-04 Pierre Etore , Benjamin Jourdain

This paper studies a two-stage model of experimentation, where the researcher first samples representative units from an eligible pool, then assigns each sampled unit to treatment or control. To implement balanced sampling and assignment,…

Econometrics · Economics 2023-08-22 Max Cytrynbaum

Large observational datasets, including those derived from electronic health records, are a valuable resource for medical research but are often affected by missingness, measurement error, and misclassification. Two-phase sampling with…

Methodology · Statistics 2026-03-23 Jasper B. Yang , Bryan E. Shepherd , Thomas Lumley , Pamela A. Shaw

The problem of optimal allocation of samples in surveys using a stratified sampling plan was first discussed by Neyman in 1934. Since then, many researchers have studied the problem of the sample allocation in multivariate surveys and…

Discrete Mathematics · Computer Science 2013-09-25 Jose Andre de Moura Brito , Gustavo Silva Semaan , Pedro Luis do Nascimento Silva , Nelson Maculan

Recent works have proposed optimal subsampling algorithms to improve computational efficiency in large datasets and to design validation studies in the presence of measurement error. Existing approaches generally fall into two categories:…

Methodology · Statistics 2025-12-25 Jasper B. Yang , Thomas Lumley , Bryan E. Shepherd , Pamela A. Shaw

This paper investigates the use of stratified sampling as a variance reduction technique for approximating integrals over large dimensional spaces. The accuracy of this method critically depends on the choice of the space partition, the…

Probability · Mathematics 2009-09-15 Pierre Etoré , Gersende Fort , Benjamin Jourdain , Eric Moulines

We derive optimality conditions for the optimum sample allocation problem in stratified sampling, formulated as the determination of the fixed strata sample sizes that minimize the total cost of the survey, under the assumed level of…

Statistics Theory · Mathematics 2023-12-11 Wojciech Wójciak

Allocation of samples in stratified and/or multistage sampling is one of the central issues of sampling theory. In a survey of a population often the constraints for precision of estimators of subpopulations parameters have to be taken care…

Statistics Theory · Mathematics 2015-03-31 Jacek Wesolowski , Robert Wieczorkowski

The matrixdist R package provides a comprehensive suite of tools for the statistical analysis of matrix distributions, including phase-type, inhomogeneous phase-type, discrete phase-type, and related multivariate distributions. This paper…

Computation · Statistics 2025-03-11 Martin Bladt , Alaric Mueller , Jorge Yslas

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

Computation · Statistics 2013-11-26 Nicholas A. James , David S. Matteson

Stratified random sampling (SRS) is a fundamental sampling technique that provides accurate estimates for aggregate queries using a small size sample, and has been used widely for approximate query processing. A key question in SRS is how…

Databases · Computer Science 2018-02-21 Trong Duc Nguyen , Ming-Hung Shih , Divesh Srivastava , Srikanta Tirthapura , Bojian Xu

We derive a formula for the optimal sample allocation in a general stratified scheme under upper bounds on the sample strata-sizes. Such a general scheme includes SRSWOR within strata as a special case. The solution is given in terms of…

Statistics Theory · Mathematics 2021-06-01 Jacek Wesołowski , Robert Wieczorkowski , Wojciech Wójciak

In the context of paid research studies and clinical trials, budget considerations often require patient sampling from available populations which comes with inherent constraints. We introduce the R package CDsampling, which is the first to…

Computation · Statistics 2025-09-30 Yifei Huang , Liping Tong , Jie Yang

Adaptive seamless designs combine confirmatory testing, a domain of phase III trials, with features such as treatment or subgroup selection, typically associated with phase II trials. They promise to increase the efficiency of development…

Methodology · Statistics 2019-01-25 Tim Friede , Nigel Stallard , Nicholas Parsons

The R package optimParallel provides a parallel version of the gradient-based optimization methods of optim(). The main function of the package is optimParallel(), which has the same usage and output as optim(). Using optimParallel() can…

Computation · Statistics 2018-05-01 Florian Gerber , Reinhard Furrer

In this paper, we develop a simulation-based approach to optimisation with multi-modal functions using slice sampling. Our method specifies the objective function as an energy potential in a Boltzmann distribution and then we use auxiliary…

Optimization and Control · Mathematics 2012-12-11 John R. Birge , Nicholas G. Polson
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