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A general stream sampling design

Author

Listed:
  • Bardia Panahbehagh

    (Kharazmi University
    University of Neuchâtel)

  • Raphaël Jauslin

    (Kharazmi University)

  • Yves Tillé

    (University of Neuchâtel)

Abstract

With the emergence of the big data era, the need for sampling methods that select samples based on the order of the observed units is felt more than ever. In order to meet this necessity, a new sequential unequal probability sampling method is proposed. 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 a selection of a sample from a stream. This method consists in using sliding windows which are a kind of strata of controllable size. This method also allows the sample to be spread in a controlled manner throughout the population. A special case of the method with windows of size one leads to deciding on each sampling unit immediately after observing it. The implementation of size one windows is simple and will be presented here based on an algorithm with a single condition. Also, by selecting the windows of size two, we will have one of the optimal stream sampling methods, which results in a well-spread stream sample with positive second-order inclusion probabilities.

Suggested Citation

  • Bardia Panahbehagh & Raphaël Jauslin & Yves Tillé, 2024. "A general stream sampling design," Computational Statistics, Springer, vol. 39(6), pages 2899-2924, September.
    • Handle: RePEc:spr:compst:v:39:y:2024:i:6:d:10.1007_s00180-023-01408-7
    DOI: 10.1007/s00180-023-01408-7
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    References listed on IDEAS

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    1. Anton Grafström & Niklas L. P. Lundström & Lina Schelin, 2012. "Spatially Balanced Sampling through the Pivotal Method," Biometrics, The International Biometric Society, vol. 68(2), pages 514-520, June.
    2. A. B. Sunter, 1977. "List Sequential Sampling with Equal or Unequal Probabilities Without Replacement," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 261-268, November.
    3. Raphaël Jauslin & Yves Tillé, 2020. "Spatial Spread Sampling Using Weakly Associated Vectors," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 25(3), pages 431-451, September.
    4. Raphaël Jauslin & Bardia Panahbehagh & Yves Tillé, 2022. "Sequential spatially balanced sampling," Environmetrics, John Wiley & Sons, Ltd., vol. 33(8), December.
    Full references (including those not matched with items on IDEAS)

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