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Conditional and Restricted Pareto Sampling: Two New Methods for Unequal Probability Sampling

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  • LENNART BONDESSON

Abstract

Two new unequal probability sampling methods are introduced: conditional and restricted Pareto sampling. The advantage of conditional Pareto sampling compared with standard Pareto sampling, introduced by Rosén ("J. Statist. Plann. Inference", 62, 1997, 135, 159), is that the factual inclusion probabilities better agree with the desired ones. Restricted Pareto sampling, preferably conditioned or adjusted, is able to handle cases where there are several restrictions on the sample and is an alternative to the recent cube method for balanced sampling introduced by Deville and Tillé ("Biometrika", 91, 2004, 893). The new sampling designs have high entropy and the involved random numbers can be seen as permanent random numbers. Copyright (c) 2010 Board of the Foundation of the Scandinavian Journal of Statistics.

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  • Lennart Bondesson, 2010. "Conditional and Restricted Pareto Sampling: Two New Methods for Unequal Probability Sampling," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(3), pages 514-530.
  • Handle: RePEc:bla:scjsta:v:37:y:2010:i:3:p:514-530
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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9469.2010.00700.x
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    1. Lennart Bondesson & Imbi Traat & Anders Lundqvist, 2006. "Pareto Sampling versus Sampford and Conditional Poisson Sampling," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(4), pages 699-720.
    2. Jean-Claude Deville & Yves Tille, 2004. "Efficient balanced sampling: The cube method," Biometrika, Biometrika Trust, vol. 91(4), pages 893-912, December.
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    Cited by:

    1. Hervé Cardot & Camelia Goga & Pauline Lardin, 2014. "Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(2), pages 516-534, June.

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