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On closed-form tight bounds and approximations for the median of a gamma distribution

The median of a gamma distribution, as a function of its shape parameter k, has no known representation in terms of elementary functions. In this work we use numerical simulations and asymptotic analyses to bound the median, finding bounds of the form 2(−1/k)(A + Bk), including an upper bound that i...

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Detalles Bibliográficos
Autor principal: Lyon, Richard F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8118309/
https://www.ncbi.nlm.nih.gov/pubmed/33984053
http://dx.doi.org/10.1371/journal.pone.0251626