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A List Sequential Sampling Method Suitable for Real‐Time Sampling

Author

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  • LENNART BONDESSON
  • DANIEL THORBURN

Abstract

. A flexible list sequential πps sampling method is introduced and studied. It can reproduce any given sampling design without replacement, of fixed or random sample size. The method is a splitting method and uses successive updating of inclusion probabilities. The main advantage of the method is in real‐time sampling situations where it can be used as a powerful alternative to Bernoulli and Poisson sampling and can give any desired second‐order inclusion probabilities and thus considerably reduce the variability of the sample size.

Suggested Citation

  • Lennart Bondesson & Daniel Thorburn, 2008. "A List Sequential Sampling Method Suitable for Real‐Time Sampling," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(3), pages 466-483, September.
  • Handle: RePEc:bla:scjsta:v:35:y:2008:i:3:p:466-483
    DOI: 10.1111/j.1467-9469.2008.00596.x
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    References listed on IDEAS

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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, December.
    2. Bahjat F. Qaqish, 2003. "A family of multivariate binary distributions for simulating correlated binary variables with specified marginal means and correlations," Biometrika, Biometrika Trust, vol. 90(2), pages 455-463, June.
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    Cited by:

    1. Maiki Ilves, 2012. "GREG estimation and probabilistic editing," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 133-144, August.
    2. Roberto Benedetti & Federica Piersimoni & Paolo Postiglione, 2017. "Spatially Balanced Sampling: A Review and A Reappraisal," International Statistical Review, International Statistical Institute, vol. 85(3), pages 439-454, December.
    3. Linda Altieri & Daniela Cocchi, 2021. "Spatial Sampling for Non‐compact Patterns," International Statistical Review, International Statistical Institute, vol. 89(3), pages 532-549, December.
    4. Fulvia Mecatti & Charalambos Sismanidis & Emanuela Furfaro & Pier Luigi Conti, 2023. "Sequential adaptive strategies for sampling rare clustered populations," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(5), pages 1659-1693, December.
    5. B. L. Robertson & J. A. Brown & T. McDonald & P. Jaksons, 2013. "BAS: Balanced Acceptance Sampling of Natural Resources," Biometrics, The International Biometric Society, vol. 69(3), pages 776-784, September.
    6. Anton Grafström & Lina Schelin, 2014. "How to Select Representative Samples," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(2), pages 277-290, June.
    7. Xin Zhao & Anton Grafström, 2020. "A sample coordination method to monitor totals of environmental variables," Environmetrics, John Wiley & Sons, Ltd., vol. 31(6), September.
    8. Maria Michela Dickson & Giuseppe Espa & Diego Giuliani & Emanuele Taufer, 2016. "Metodi di campionamento spaziale per la selezione di campioni rappresentativi di imprese," RIVISTA DI ECONOMIA E STATISTICA DEL TERRITORIO, FrancoAngeli Editore, vol. 2016(3), pages 89-99.
    9. Rosa M. Di Biase & Marzia Marcheselli & Caterina Pisani, 2025. "Achieving spatial balance in environmental surveys under constant inclusion probabilities or inclusion density functions," Environmetrics, John Wiley & Sons, Ltd., vol. 36(1), January.
    10. Maria Michela Dickson & Giuseppe Espa & Diego Giuliani, 2016. "Incomplete geocoding and spatial sampling: the effects of locational errors on population total estimation," DEM Working Papers 2016/04, Department of Economics and Management.
    11. Wilmer Prentius, 2024. "Locally correlated Poisson sampling," Environmetrics, John Wiley & Sons, Ltd., vol. 35(2), March.

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