\input texinfo
@def@colon{:}

@iftex
@catcode`@#=6
@def@b#1{{@bf@gt #1}}
@catcode`@#=@other
@end iftex
@overfullrule=0pt
@setfilename asir-contrib-gtt_ekn
@settitle gtt_ekn Manual
@titlepage
@title gtt_ekn Manual
@subtitle Edition : 2016.03.28
@author Y.Goto, Y.Tachibana, N.Takayama
@end titlepage

@synindex vr fn
@node Top,, (dir), (dir)

@menu
* Function Manual::
* Index::
@end menu

@node Function Manual,,, Top
@chapter Function Manual

@menu
* Outline::
* Notation::
* Functions::
@end menu

@node Outline,,, Function Manual
@section Outline



@node Notation,,,Function Manual
@section Notation

@node Functions,,, Function Manual
@section Functions

@menu
* gtt_ekn.nc::
@end menu

@node intersect,,, Functions

@node gtt_ekn.nc,,, Functions
@subsection @code{gtt_ekn.nc}
@findex gtt_ekn.nc

@table @t
@item gtt_ekn.nc(@var{beta},@var{p})
:: It returns the value of the normalizing contant and its derivatives
of the conditional hypergeometric distribution of two way contingecy tables
with fixed marginals
@end table

@table @var
@item return
[Z,[[d_11 Z, d_12 Z, ...], ..., [d_m1 Z, d_m2 Z, ...., d_mn Z]]]
@item @var{beta}
List of row sums and column sums. All entries must be positive integer.
@item @var{p}
The probabilities of the cells of the table.
@end table

@itemize @bullet
@item  Details have not been written. See Japanse documents.
@end itemize

2x3 contingency table with the row sum [4,5] and the column sum [2,4,3].
@example
[2237] gtt_ekn.nc([[4,5],[2,4,3]],[[1,1/2,1/3],[1,1,1]]);
[4483/124416,[ 353/7776 1961/15552 185/1728 ]
[ 553/20736 1261/15552 1001/13824 ]]
@end example

English translation for other functions has not yet been written.


@node Index,,, Top
@unnumbered Index
@printindex fn
@printindex cp
@iftex
@vfill @eject
@end iftex
@summarycontents
@contents

@bye