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The sparsity index in Poisson size-biased sampling: Algorithms for the optimal unbiased estimation from small samples

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  • Bondi, Laura
  • Pagano, Marcello
  • Bonetti, Marco

Abstract

If the probability that a statistical unit is sampled is proportional to a size variable, then size bias occurs. As an example, when sampling individuals from a population, larger households are overrepresented.

Suggested Citation

  • Bondi, Laura & Pagano, Marcello & Bonetti, Marco, 2024. "The sparsity index in Poisson size-biased sampling: Algorithms for the optimal unbiased estimation from small samples," Statistics & Probability Letters, Elsevier, vol. 214(C).
    • Handle: RePEc:eee:stapro:v:214:y:2024:i:c:s016771522400186x
    DOI: 10.1016/j.spl.2024.110217
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    References listed on IDEAS

    as
    1. Joan Del Castillo & Marta Pérez-Casany, 1998. "Weighted Poisson Distributions for Overdispersion and Underdispersion Situations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(3), pages 567-585, September.
    2. Giussani, A. & Bonetti, M., 2019. "A note on the length-biased Weibull-Gamma frailty survival model," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 32-36.
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