.\" DO NOT MODIFY THIS FILE!  It was generated by help2man 1.47.6.
.TH GBEPFIT "1" "February 2019" "gbepfit 6.0.beta2" "User Commands"
.SH NAME
gbepfit \- Fit a symmetric power exponential density
.SH SYNOPSIS
.B gbepfit
[\fI\,options\/\fR]
.SH DESCRIPTION
Fit symmetric power exponential density using maximum\-likelihood or the method
of moments.
.SH OPTIONS
.TP
\fB\-O\fR
output type (default 0)
.TP
0
parameter b a m and log\-likelihood
.TP
1
the estimated distribution function computed on the provided points
.TP
2
the estimated density function computed on the provided points
.TP
3
parameters b a m and their standard errors
.TP
\fB\-x\fR
set initial conditions b,a,m  (default 2,1,0)
.TP
\fB\-m\fR
the mode is not estimated but is set to the value provided
.TP
\fB\-s\fR
number of intervals to explore at each iteration (default 10)
.TP
\fB\-V\fR
verbosity level (default 0)
.TP
0
just the final result
.TP
1
headings and summary table
.TP
2
intermediate steps results
.TP
3
intermediate steps internals
.TP
4+
details of optim. routine
.TP
\fB\-M\fR
active estimation steps. The value is the sum of (default 7)
.TP
1
initial estimation based on method of moments
.TP
2
global optimization not considering lack of smoothness in m
.TP
4
local optimization taking non\-smoothness in m into consideration
.TP
\fB\-G\fR
set global optimization options. Fields are step,tol,iter,eps,msize,algo.
Empty field implies default (default .1,1e\-2,100,1e\-3,1e\-5,3)
.TP
\fB\-I\fR
set local optimization options. Fields are step,tol,iter,eps,msize,algo.
Empty field implies default (default .01,1e\-4,200,1e\-4,1e\-5,5)
.TP
\fB\-F\fR
input fields separators (default " \et")
.TP
\fB\-h\fR
this help
.PP
The optimization parameters are step  initial step size of the searching algorithm
.TP
tol
line search tolerance iter: maximum number of iterations
.TP
eps
gradient tolerance : stopping criteria ||gradient||<eps
.TP
msize
simplex max size : stopping criteria ||max edge||<msize
.TP
algo
optimization methods: 0 Fletcher\-Reeves, 1 Polak\-Ribiere,
2 Broyden\-Fletcher\-Goldfarb\-Shanno, 3 Steepest descent,
4 Nelder\-Mead simplex, 5 Broyden\-Fletcher\-Goldfarb\-Shanno v.2,
6 Nelder\-Mead simplex ver. 2, 7 Nelder\-Mead simplex rnd init.
.SH EXAMPLES
.TP
gbepfit \-m 1 \-M 6 <file
estimate a and b with m=1 and skipping initial
method of moments estimation
.SH AUTHOR
Written by Giulio Bottazzi
.SH "REPORTING BUGS"
Report bugs to <gbutils@googlegroups.com>
.PP
.br
Package home page <http://cafim.sssup.it/~giulio/software/gbutils/index.html>
.SH COPYRIGHT
Copyright \(co 2001\-2018 Giulio Bottazzi
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
(version 2) as published by the Free Software Foundation;
.PP
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.