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Contagious statistical distributions: k-connections and applications in infectious disease environments

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  • Victoriano García–García
  • María Martel–Escobar
  • Francisco–José Vázquez–Polo

Abstract

Contagious statistical distributions are a valuable resource for managing contagion by means of k–connected chains of distributions. Binomial, hypergeometric, Pólya, uniform distributions with the same values for all parameters except sample size n are known to be strongly associated. This paper describes how the relationship can be obtained via factorial moments, simplifying the process by including novel elements. We describe the properties of these distributions and provide examples of their real–world application, and then define a chain of k–connected distributions, which generalises the relationship among samples of any size for a given population and the Pólya urn model.

Suggested Citation

  • Victoriano García–García & María Martel–Escobar & Francisco–José Vázquez–Polo, 2022. "Contagious statistical distributions: k-connections and applications in infectious disease environments," PLOS ONE, Public Library of Science, vol. 17(5), pages 1-18, May.
    • Handle: RePEc:plo:pone00:0268810
    DOI: 10.1371/journal.pone.0268810
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    References listed on IDEAS

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    1. Bruce Barrett & J. Gray, 2014. "Efficient computation for the Poisson binomial distribution," Computational Statistics, Springer, vol. 29(6), pages 1469-1479, December.
    2. K. Neammanee, 2003. "A nonuniform bound for the approximation of Poisson binomial by Poisson distribution," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-6, January.
    3. K. Neammanee, 2005. "A refinement of normal approximation to Poisson binomial," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-12, January.
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