GammaCHI swMATH ID: 14496 Software Authors: A. Gil, J. Segura, N. M. Temme Description: GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). A Fortran 90 module (GammaCHI) for computing and inverting the gamma and chi-square cumulative distribution functions (central and noncentral) is presented. The main novelty of this package are the reliable and accurate inversion routines for the noncentral cumulative distribution functions. Additionally, the package also provides routines for computing the gamma function, the error function and other functions related to the gamma function. The module includes the routines cdfgamC, invcdfgamC, cdfgamNC, invcdfgamNC, errorfunction, inverfc, gamma, loggam, gamstar and quotgamm for the computation of the central gamma distribution function (and its complementary function), the inversion of the central gamma distribution function, the computation of the noncentral gamma distribution function (and its complementary function), the inversion of the noncentral gamma distribution function, the computation of the error function and its complementary function, the inversion of the complementary error function, the computation of: the gamma function, the logarithm of the gamma function, the regulated gamma function and the ratio of two gamma functions, respectively Homepage: http://www.cpc.cs.qub.ac.uk/summaries/AEVM_v1_0.html Related Software: DLMF; Algorithm 939; Conical; FastGaussQuadrature; Chebfun; ASA109; AS 64; Algorithm 724; BRATIO; AS 109; ncg Cited in: 9 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012Gil, Amparo; Segura, Javier; Temme, Nico M. 2015 Cited by 5 Authors 8 Segura, Javier 6 Gil, Amparo 6 Temme, Nico M. 1 Dias, José Carlos 1 Nunes, João Pedro Vidal all top 5 Cited in 8 Serials 2 Numerical Algorithms 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 European Journal of Operational Research 1 ETNA. Electronic Transactions on Numerical Analysis 1 Integral Transforms and Special Functions all top 5 Cited in 6 Fields 8 Special functions (33-XX) 6 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) Citations by Year