Cargando…
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...
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 |
Ejemplares similares
-
Tight bounds for the median of a gamma distribution
por: Lyon, Richard F.
Publicado: (2023) -
On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
por: Hung, Tran Loc, et al.
Publicado: (2016) -
Tight security bounds for decoy-state quantum key distribution
por: Yin, Hua-Lei, et al.
Publicado: (2020) -
On the Distribution of the Information Density of Gaussian Random Vectors: Explicit Formulas and Tight Approximations
por: Huffmann, Jonathan E. W., et al.
Publicado: (2022) -
Communication Efficient Algorithms for Bounding and Approximating the Empirical Entropy in Distributed Systems
por: Shahar, Amit, et al.
Publicado: (2022)