Fitting Routines and Functionals of the S Distribution

by Sergej V. Aksenov
v0.99, last updated 18 June 2002

This is a Mathematica package plus C programs for fitting of the S distribution to data by the minimum distance method.

For more details see Statistical inference and modeling with the S distribution.
S.V. Aksenov, M.A. Savageau.
Arxiv:physics/0112046, 2001.

Source code of the auxilliary software libraries that are needed in order to build the MathLink binaries can be downloaded from the following URLs (see README for more information and installation instructions):

LERCHPHI
CVODE
F2C
CLAPACK and CBLAS
CFSQP
ZEROIN (provided here in the F2C'ed form)
DFO (provided here in the F2C'ed form)

Download gzipped tar file sdist.tgz.

On many systems, web browsers can download, unzip, and untar these files automatically. On UNIX systems, after downloading the file sdist.tgz, the individual files within the zipped tar file can be unbundled by executing the commands tar -zxf sdist.tgz.

Alternatively, please follow links to pages from where individual files of the distributions can be downloaded.

Directory tree

SDistribution/

README Instructions on usage.
Makefile Makefile for MathLink binaries.
MODIFICATIONS List of modifications to F2C'ed ZEROIN and DFO code.
SDistribution.m Mathematica package with SDistribution functions.
SDistribution.nb Mathematica notebook with documentation and examples of package usage.

SDistribution/SRC

lerch.tm MathLink and C code for the lerch binary (Lerch's transcendent).
cdf.tm MathLink and C code for the cdf binary (S distribution cumulative distribution function).
optim.tm MathLink and C code for the optim binary (minimum distance optimization of the S distribution).
sdcdf.c C code for calculation of the S distribution cumulative distribution function.
sdode.c C code for solution of the differential equation for the S distribution cumulative distribution function.
sdqnt.c C code for calculation of the S distribution quantiles.
zqnt.c C code for calculation of zeros of the S distribution quantiles.
gofdef.c C code with definitions of goodness-of-fit statistics for the S distribution.

SDistribution/DFO

dfo.c F2C'ed DFO code.
dfosolv.c F2C'ed DFO code.
evalnp.c F2C'ed DFO code.
fd.c F2C'ed DFO code.
funobj.c F2C'ed DFO code.
getnp.c F2C'ed DFO code.
gterms.c F2C'ed DFO code.
impmod.c F2C'ed DFO code.
Makefile Makefile to build the DFO library.
mbuild.c F2C'ed DFO code.
mintr_cfsqp.c F2C'ed DFO code.
mvalue.c F2C'ed DFO code.
nbuild.c F2C'ed DFO code.
nextnp.c F2C'ed DFO code.
ptexch.c F2C'ed DFO code.
ptinit.c F2C'ed DFO code.
ptrepl.c F2C'ed DFO code.
ranlux.c F2C'ed DFO code.
xgnew.c F2C'ed DFO code.
zero.c F2C'ed DFO code.

SDistribution/ZEROIN

zeroin.c F2C'ed zero-finding program zeroin.

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