Variance approximation under balanced sampling

@article{Deville2005VarianceAU,
  title={Variance approximation under balanced sampling},
  author={J C Deville and Yves Till{\'e}},
  journal={Journal of Statistical Planning and Inference},
  year={2005},
  volume={128},
  pages={569-591}
}

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References

SHOWING 1-10 OF 24 REFERENCES
Efficient balanced sampling: The cube method
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
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
Weighted finite population sampling to maximize entropy
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
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
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
TLDR
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
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
Finite population sampling and inference : a prediction approach
TLDR
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
TLDR
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.
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