%% $OpenXM: OpenXM/src/R/r-packages/hgm_fb/man/hgm_fb-package.Rd,v 1.2 2015/03/27 02:36:30 takayama Exp $ \name{hgmFB-package} \alias{hgm_fb-package} \alias{HGM_FB} \alias{hgm_fb} \docType{package} \title{ HGM } \description{ This package evaluates the normalizing constant for the Fisher-Bingham distributions and solves MLE problems by utilizing the holonomic gradient method. } \details{ \tabular{ll}{ Package: \tab hgm_fb\cr Type: \tab Package\cr License: \tab GPL-2\cr LazyLoad: \tab yes\cr } This package evaluates the normalizing constant for the Fisher-Bingham distributions and solves MLE problems by utilizing the holonomic gradient method. The HGM and HGD are proposed in the paper below. This method based on the fact that a broad class of normalizing constants of unnormalized probability distributions belongs to the class of holonomic functions, which are solutions of holonomic systems of linear partial differential equations. } \note{ % (see \code{\link[gsl]{gsl-package}}). % When you use the package gsl, it is recommeded to unload the shared libraries % of the package hgm by \code{library.dynam.unload("hgm")}<--error, todo. % (see \code{\link[base]{library.dynam.unload}}). } \references{ \itemize{ \item [N3OST2] Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama, Akimichi Takemura, Holonomic Gradient Descent and its Application to Fisher-Bingham Integral, Advances in Applied Mathematics 47 (2011), 639--658, \url{http://dx.doi.org/10.1016/j.aam.2011.03.001} \item [dojo] Edited by T.Hibi, Groebner Bases: Statistics and Software Systems, Springer, 2013, \url{http://dx.doi.org/10.1007/978-4-431-54574-3} \item \url{http://www.openxm.org} } } \keyword{ package } \keyword{ holonomic gradient method} \keyword{ holonomic gradient descent} \keyword{ HGM } \keyword{ HGD } \keyword{Fisher-Bingham distribution} \seealso{ \code{\link{hgm.z.mleFBByOptim}}, } \examples{ \dontrun{ } }