The asymptotic and numerical inversion of the Marcum \(Q\)-function
type: Item
instance of: scholarly article
zbMATH Open document ID: 1302.33020
author: Amparo Gil
author: Javier Segura
author: Nico M. Temme
published in: Studies in Applied Mathematics
publication date: 2014-10-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.0302
Mathematics Subject Classification ID: 33E20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6359390
zbMATH Keywords: generalized Marcum functions
zbMATH Keywords: noncentral gamma
zbMATH Keywords: generalized Marcum \(Q\)-function
zbMATH Keywords: complementary Marcum \(P\)-function
zbMATH Keywords: reliability of the asymptotic approximations
describes a project that uses: Algorithm 939
MaRDI profile type: Publication
OpenAlex ID: W1887684582
arXiv ID: 1404.0302
cites work: Algorithm 939
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cites work: Q5789645
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cites work: Monotonicity properties and bounds for the chi-square and gamma distributions
cites work: An efficient algorithm for computing quantiles of the noncentral chi-squared distribution.
cites work: Computation of the Noncentral Gamma Distribution
cites work: Asymptotic Inversion of Incomplete Gamma Functions
cites work: Numerical Methods for Special Functions
cites work: The Asymptotic Inversion of Certain Cumulative Distribution Functions
cites work: Q4880419
cites work: Asymptotic and numerical aspects of the noncentral chi-square distribution
DOI: 10.1111/SAPM.12050
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title: The asymptotic and numerical inversion of the Marcum \(Q\)-function
description: scientific article; zbMATH DE number 6359390