version 1.4, 2014/03/24 05:28:17 |
version 1.7, 2019/11/16 11:03:44 |
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% $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm.so3nc.Rd,v 1.3 2013/03/08 07:32:28 takayama Exp $ |
% $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm.so3nc.Rd,v 1.6 2015/03/27 02:36:30 takayama Exp $ |
\name{hgm.ncso3} |
\name{hgm.ncso3} |
\alias{hgm.ncso3} |
\alias{hgm.ncso3} |
%- Also NEED an '\alias' for EACH other topic documented here. |
%- Also NEED an '\alias' for EACH other topic documented here. |
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distribution on SO(3). |
distribution on SO(3). |
} |
} |
\usage{ |
\usage{ |
hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0) |
hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0,log=0) |
} |
} |
%- maybe also 'usage' for other objects documented here. |
%- maybe also 'usage' for other objects documented here. |
\arguments{ |
\arguments{ |
\item{a}{} |
\item{a}{See the description of c.} |
\item{b}{} |
\item{b}{See the description of c.} |
\item{c}{ |
\item{c}{ |
This function evaluates the normalization constant for the parameter |
This function evaluates the normalization constant for the parameter |
Theta=diag(theta_{ii}) of the Fisher distribution on SO(3). |
Theta=diag(theta_{ii}) of the Fisher distribution on SO(3). |
Line 35 hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0) |
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Line 35 hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0) |
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of the normalization constant near the origin. |
of the normalization constant near the origin. |
If it is 0, a default value is used. |
If it is 0, a default value is used. |
} |
} |
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\item{log}{ |
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If it is 1, then the function returns the log of the normalizing constant. |
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} |
} |
} |
\details{ |
\details{ |
The normalization constant c(Theta) |
The normalization constant c(Theta) |
Line 48 hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0) |
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Line 51 hgm.ncso3(a,b,c,t0=0.0,q=1,deg=0) |
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% \code{\link[RCurl]{postForm}}. |
% \code{\link[RCurl]{postForm}}. |
} |
} |
\value{ |
\value{ |
The output is c(Theta). |
The output is an array of c(Theta) and its derivatives with respect to Theta_{11},Theta_{22},Theta_{33}. It is the vector C of the reference below. When log=1, the output is an array of log of them. |
} |
} |
\references{ |
\references{ |
Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama, |
Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama, |
Line 59 Journal of Multivariate Analysis, 116 (2013), 440--455 |
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Line 62 Journal of Multivariate Analysis, 116 (2013), 440--455 |
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\author{ |
\author{ |
Nobuki Takayama |
Nobuki Takayama |
} |
} |
\note{ |
%\note{ |
%% ~~further notes~~ |
%%% ~~further notes~~ |
} |
%} |
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%% ~Make other sections like Warning with \section{Warning }{....} ~ |
%% ~Make other sections like Warning with \section{Warning }{....} ~ |
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\seealso{ |
%\seealso{ |
%%\code{\link{oxm.matrix_r2tfb}} |
%%%\code{\link{oxm.matrix_r2tfb}} |
} |
%} |
\examples{ |
\examples{ |
## ===================================================== |
## ===================================================== |
## Example 1. Computing normalization constant of the Fisher distribution on SO(3) |
## Example 1. Computing normalization constant of the Fisher distribution on SO(3) |
## ===================================================== |
## ===================================================== |
hgm.ncso3(1,2,3) |
hgm.ncso3(1,2,3)[1] |
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## ===================================================== |
## ===================================================== |
## Example 2. Asteroid data in the paper |
## Example 2. Asteroid data in the paper |
## ===================================================== |
## ===================================================== |
hgm.ncso3(19.6,0.831,-0.671) |
hgm.ncso3(19.6,0.831,-0.671)[1] |
} |
} |
% Add one or more standard keywords, see file 'KEYWORDS' in the |
% Add one or more standard keywords, see file 'KEYWORDS' in the |
% R documentation directory. |
% R documentation directory. |