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Efficient balanced sampling: The cube method
- Mathematics
- 2004
A balanced sampling design is defined by the property that the Horvitz--Thompson estimators of the population totals of a set of auxiliary variables equal the known totals of these variables.…
Penalized balanced sampling
- Mathematics
- 2012
Linear mixed models cover a wide range of statistical methods, which have found many uses in the estimation for complex surveys. The purpose of this work is to consider methods by which linear mixed…
Comparison of sample set curtailment procedures
- Mathematics
- 2007
For many designs, there is a nonzero probability of selecting a sample that provides poor estimates for known quantities. Stratified random sampling reduces the set of such possible samples by fixing…
Evaluation of variance approximations and estimators in maximum entropy sampling with unequal probability and fixed sample size
- Mathematics
- 2005
Recent developments in survey sampling allow one to quickly draw samples with unequal probability, maximum entropy and fixed sample size. The joint inclusion probabilities can be computed exactly.…
Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs
- Mathematics
- 2012
For fixed size sampling designs with high entropy, it is well known that the variance of the Horvitz–Thompson estimator can be approximated by the Hájek formula. The interest of this asymptotic…
A Procedure for Estimating the Variance of the Population Mean in Rejective Sampling
- Mathematics
- 2020
Abstract Rejective sampling was first introduced by Hájek in 1964 as a way to select a sample consisting uniquely of distinct units. If n denotes the fixed sample size, the n units are drawn…
Corrado Gini, a pioneer in balanced sampling and inequality theory
- Economics, Mathematics
- 2011
Summary - This paper attempts to make the link between two of Corrado Gini’s con- tributions to statistics: the famous inequality measure that bears his name and his work in the early days of…
Doubly balanced spatial sampling with spreading and restitution of auxiliary totals
- Mathematics
- 2013
A new spatial sampling method is proposed in order to achieve a double property of balancing. The sample is spatially balanced or well spread so as to avoid selecting neighbouring units. Moreover,…
References
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Efficient balanced sampling: The cube method
- Mathematics
- 2004
A balanced sampling design is defined by the property that the Horvitz--Thompson estimators of the population totals of a set of auxiliary variables equal the known totals of these variables.…
On unequal probability sampling: Sufficient conditions for the superiority of sampling without replacement
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SUMMARY A challenging theoretical problem in unequal probability sampling is the question which design, sampling with or without replacement, should be implemented. In this context we compare the…
Generating desirable sampling plans by the technique of trade-off in experimental design
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Weighted finite population sampling to maximize entropy
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SUMMARY Attention is drawn to a method of sampling a finite population of N units with unequal probabilities and without replacement. The method was originally proposed by Stern & Cover (1989) as a…
Echantillonnage représentatif optimum à probabilités inégales
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We propose to use some inequal probability sampling algorithms in order to approach the representativeness of selected samples for a set of auxiliary variables, and to produce jointly optimal…
Calibration Estimators in Survey Sampling
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Abstract This article investigates estimation of finite population totals in the presence of univariate or multivariate auxiliary information. Estimation is equivalent to attaching weights to the…
Efficient Sampling Algorithms and Balanced Samples
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In the case of rejective sampling, where samples are drawn until some specific property is realized, performant drawing becomes a necessary tool if the desired property has a very small probability.
Nonnegative regression estimation for sample survey data
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Ann. Starist. 2.961-:-. Wald, A. 1940. The fitting of straight lines if both variables are subject to error. Ann. Math. Statist. 11: 2%-300. Widder, D. V. I96I. Advanced Calculus. Prentice-Hall, New…
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Prediction Theory Under the General Linear Model and Stratified Populations: Models with Qualitative Auxiliaries and Alternative Variance Estimation Methods.
Combined Survey Sampling Inference: Weighing Basu's Elephants
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This text argues cogently that the two approaches to survey sampling are complementary rather than competitive, the former being appropriate for large samples and the latter for small ones, and shows how they can neatly be combined.