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

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URI: http://hdl.handle.net/10498/27579
DOI: 10.1371/journal.pone.0268810
ISSN: 1932-6203
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2022-05Department
Estadística e Investigación OperativaSource
PLoS ONE 17(5): e0268810Abstract
Contagious statistical distributions are a valuable resource for managing contagion by
means of k–connected chains of distributions. Binomial, hypergeometric, Po´ lya, 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 Po´lya urn model.
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