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This paper introduces an innovative and intuitive finite population sampling method that has been developed using a unique graphical framework. In this approach, first-order inclusion probabilities are represented as bars on a…

Statistics Theory · Mathematics 2025-10-28 Bardia Panahbehagh

We introduce new method for generating correlated or uncorrelated Bernoulli random variables by using the binary expansion of a continuous random variable with support on the unit interval. We show that when this variable has a symmetric…

Probability · Mathematics 2023-09-11 Francisco Marcos de Assis , Juliana Martins de Assis , Micael Andrade Dias

Distributionally balanced sampling designs are low-discrepancy probability designs obtained by minimizing the expected discrepancy between the auxiliary-variable distribution of a random sample and the target population distribution.…

Methodology · Statistics 2026-03-26 Anton Grafström , Wilmer Prentius

The aim of this paper is twofold. First, three theoretical principles are formalized: randomization, overrepresentation and restriction. We develop these principles and give a rationale for their use in choosing the sampling design in a…

Methodology · Statistics 2016-12-16 Yves Tillé , Matthieu Wilhelm

Well-spread samples are desirable in many disciplines because they improve estimation when target variables exhibit spatial structure. This paper introduces an integrated methodological framework for spreading samples over the population's…

Methodology · Statistics 2025-10-29 Bardia Panahbehagh , Mehdi Mohebbi , Amir Mohammad HosseiniNasab

A new unequal probability sampling method is proposed. This method is sequential. The decision to select or not each unit is made based on the order in which the units appear. A variant of this method allows selecting a sample from a…

Methodology · Statistics 2021-11-17 Bardia Panahbehagh , Raphaël Jauslin , Yves Tillé

This paper studies the sample complexity of searching over multiple populations. We consider a large number of populations, each corresponding to either distribution P0 or P1. The goal of the search problem studied here is to find one…

Information Theory · Computer Science 2016-11-17 Matthew L. Malloy , Gongguo Tang , Robert D. Nowak

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

We describe a general strategy for sampling configurations from a given (Gibbs-Boltzmann or other) distribution. It is {\it not} based on the Metropolis concept of establishing a Markov process whose stationary state is the wanted…

Statistical Mechanics · Physics 2007-05-23 P. Grassberger , W. Nadler

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

Methodology · Statistics 2020-01-13 Shu Yang , Jae Kwang Kim

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

We describe a general strategy for sampling configurations from a given distribution, NOT based on the standard Metropolis (Markov chain) strategy. It uses the fact that nontrivial problems in statistical physics are high dimensional and…

Statistical Mechanics · Physics 2009-11-07 P. Grassberger

We explore the effect of finite population sampling in design problems with many variables cross-classified in many ways. In particular, we investigate designs where we wish to sample individuals belonging to different groups for which the…

Methodology · Statistics 2017-11-30 Simon C. Shaw , Michael Goldstein

The Bernoulli sieve is a random allocation scheme obtained by placing independent points with the uniform [0,1] law into the intervals made up by successive positions of a multiplicative random walk with factors taking values in the…

Probability · Mathematics 2013-04-17 Alexander Iksanov , Alexander Marynych , Vladimir Vatutin

In this paper we show the distributions of sliding block patterns for Bernoulli processes with finite alphabet, which is not based on the induction on sample size. We show a new inclusion-exclusion formula in multivariate generating…

Information Theory · Computer Science 2019-02-13 Hayato Takahashi

We propose distribution-free runs-based control charts for detecting location shifts. Using the fact that given the number of total successes, the outcomes of a sequence of Bernoulli trials are random permutations, we are able to control…

Methodology · Statistics 2025-11-19 Tung-Lung Wu

The multivariate hypergeometric distribution describes sampling without replacement from a discrete population of elements divided into multiple categories. Addressing a gap in the literature, we tackle the challenge of estimating discrete…

Machine Learning · Computer Science 2024-06-11 Liam Hodgson , Danilo Bzdok

We investigate Bayesian predictive inference for finite population quantities when there are unequal probabilities of selection. Only limited information about the sample design is available; i.e., only the first-order selection…

Methodology · Statistics 2018-04-10 Junheng Ma , Joe Sedransk , Balgobin Nandram , Lu Chen

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

Methodology · Statistics 2025-09-30 Vanessa McNealis , Christian Léger
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