===================================================================
RCS file: /home/cvs/OpenXM/src/hgm/doc/ref-hgm.html,v
retrieving revision 1.11
retrieving revision 1.14
diff -u -p -r1.11 -r1.14
--- OpenXM/src/hgm/doc/ref-hgm.html 2014/05/20 02:12:18 1.11
+++ OpenXM/src/hgm/doc/ref-hgm.html 2016/02/07 05:18:20 1.14
@@ -3,7 +3,7 @@
References for HGM
-
+
@@ -12,6 +12,43 @@ the Holonomic Gradient Descent Method (HGD)
Papers and Tutorials
+- Y.Goto, K.Matsumoto,
+Pfaffian equations and contiguity relations of the hypergeometric function of type (k+1,k+n+2) and their applications,
+ arxiv:1602.01637
+
+
- T.Koyama,
+Holonomic gradient method for the probability content of a simplex
+region
+with a multivariate normal distribution,
+ arxiv:1512.06564
+
+
+
- N.Takayama, S.Kuriki, A.Takemura,
+A-Hpergeometric Distributions and Newton Polytopes,
+ arxiv:1510.02269
+
+
- G.Weyenberg, R.Yoshida, D.Howe,
+Normalizing Kernels in the Billera-Holmes-Vogtmann Treespace,
+ arxiv:1506.00142
+
+
- K.Ohara, N.Takayama,
+Pfaffian Systems of A-Hypergeometric Systems II ---
+Holonomic Gradient Method,
+ arxiv:1505.02947
+
+
- T.Koyama,
+The Annihilating Ideal of the Fisher Integral,
+ arxiv:1503.05261
+
+
- T.Koyama, A.Takemura,
+Holonomic gradient method for distribution function of a weighted sum
+of noncentral chi-square random variables,
+ arxiv:1503.00378
+
+
- Y.Goto,
+Contiguity relations of Lauricella's F_D revisited,
+ arxiv:1412.3256
+
- N.Marumo, T.Oaku, A.Takemura,
Properties of powers of functions satisfying second-order linear differential equations with applications to statistics,
arxiv:1405.4451
@@ -89,8 +126,19 @@ Holonomic Gradient Descent and its Application to Fis
Advances in Applied Mathematics 47 (2011), 639--658,
DOI
+
+Early papers related to HGM.
+
+-
+H.Dwinwoodie, L.Matusevich, E. Mosteig,
+Transform methods for the hypergeometric distribution,
+Statistics and Computing 14 (2004), 287--297.
+
+
+
+
Three Steps of HGM
- Finding a holonomic system satisfied by the normalizing constant.
@@ -107,7 +155,11 @@ equations.
Software Packages for HGM
-Most software packages are experimental and temporary documents are found in
+
+CRAN package hgm (for R).
+
+
+Some software packages are experimental and temporary documents are found in
"asir-contrib manual" (auto-autogenerated part), or
"Experimental Functions in Asir", or "miscellaneous and other documents"
of the
@@ -121,7 +173,7 @@ cvsweb page.
Command line interfaces are in the folder OpenXM/src/hgm
in the OpenXM source tree. See
OpenXM distribution page .
- hgm package for R (hgm_*tar.gz, hgm-manual.pdf) for the step 3.
+ Experimental version of hgm package for R (hgm_*tar.gz, hgm-manual.pdf) for the step 3.
To install this package in R, type in
R CMD install hgm_*.tar.gz
@@ -147,6 +199,6 @@ maximal Likehood estimates for the Fisher-Bingham dist
d-dimensional Fisher-Bingham System
- $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.10 2014/05/16 11:30:31 takayama Exp $
+ $OpenXM: OpenXM/src/hgm/doc/ref-hgm.html,v 1.13 2016/02/05 21:42:46 takayama Exp $