[BACK]Return to hgm.cwishart.Rd CVS log [TXT][DIR] Up to [local] / OpenXM / src / R / r-packages / hgm / man

Diff for /OpenXM/src/R/r-packages/hgm/man/hgm.cwishart.Rd between version 1.1 and 1.2

version 1.1, 2013/02/23 07:00:21 version 1.2, 2013/03/01 05:27:08
Line 1 
Line 1 
 % $OpenXM$  % $OpenXM: OpenXM/src/R/r-packages/hgm/man/hgm.cwishart.Rd,v 1.1 2013/02/23 07:00:21 takayama Exp $
 \name{hgm.cwishart}  \name{hgm.cwishart}
 \alias{hgm.cwishart}  \alias{hgm.cwishart}
 %- Also NEED an '\alias' for EACH other topic documented here.  %- Also NEED an '\alias' for EACH other topic documented here.
Line 15  hgm.cwishart(m,n,beta,x0,approxdeg,h,dp,x)
Line 15  hgm.cwishart(m,n,beta,x0,approxdeg,h,dp,x)
 }  }
 %- maybe also 'usage' for other objects documented here.  %- maybe also 'usage' for other objects documented here.
 \arguments{  \arguments{
   \item{m}{}    \item{m}{The dimension of the Wishart matrix.}
   \item{n}{}    \item{n}{The degree of freedome (a parameter of the Wishart distribution)}
   \item{beta}{    \item{beta}{The eigenvalues of the inverse of the covariant matrix
   (a parameter of the Wishart distribution)
   }    }
     \item{x0}{The point to evaluate the matrix hypergeometric series. x0>0}
   \item{approxdeg}{    \item{approxdeg}{
       Zonal polynomials upto the approxdeg are calculated to evaluate
      values near the origin. A zonal polynomial is determined by a given
      partition (k1,...,km). We call the sum k1+...+km the degree.
   }    }
   \item{h}{    \item{h}{
      A (small) step size for the Runge-Kutta method. h>0.
   }    }
   \item{dp}{    \item{dp}{
       Sampling interval of solutions by the Runge-Kutta method.
   }    }
   \item{x}{}    \item{x}{
       The first value of this function is the Prob(L1 < x)
       where L1 is the first eigenvalue of the Wishart matrix.
     }
 }  }
 \details{  \details{
   It is evaluated by the Koev-Edelman algorithm near the origin and    It is evaluated by the Koev-Edelman algorithm when x is near the origin and
   and by the HGM when x is far from the origin.    by the HGM when x is far from the origin.
     We can obtain more accurate result when the variables h, x0 are smaller
     and the approxdeg is more larger.
 %  \code{\link[RCurl]{postForm}}.  %  \code{\link[RCurl]{postForm}}.
 }  }
 \value{  \value{
 The output is x, y[0], ...,  y[0] is the value of the cumulative distribution  The output is x, y[0], ..., y[2^m],
 function at x.  y[1],... are some derivatives.  y[0] is the value of the cumulative distribution
   function P(L1 < x) at x.  y[1],...,y[2^m] are some derivatives.
   See the reference below.
 }  }
 \references{  \references{
 HNTT,  H.Hashiguchi, Y.Numata, N.Takayama, A.Takemura,
 \url{http://arxiv.org/abs/??},  Holonomic gradient method for the distribution function of the largest root of a Wishart matrix
   \url{http://arxiv.org/abs/1201.0472},
 }  }
 \author{  \author{
 Nobuki Takayama  Nobuki Takayama
Legend:
Removed from v.1.1  
changed lines
  Added in v.1.2
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>