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 is...

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Bibliographic Details
Main Author: Richard F Lyon
Format: article
Language:EN
Published: Public Library of Science (PLoS) 2021
Subjects:
R
Q
Online Access:https://doaj.org/article/d78c3f0a19a5406eb704150616b6f42c
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