.\" DO NOT MODIFY THIS FILE!  It was generated by help2man 1.47.13.
.TH GBNLPOLYIT "1" "June 2021" "gbnlpolyit 6.2" "User Commands"
.SH NAME
gbnlpolyit \- Non linear polyit regression
.SH SYNOPSIS
.B gbnlpolyit
[\fI\,options\/\fR] \fI\,<function definition>\/\fR
.SH DESCRIPTION
Non linear polyit estimation. Minimize the negative log\-likelihood
.IP
sum_{h=0}^{L\-1} log(A+h) \- sum_{l=1}^L sum_{h=0}^{n_l\-1} log(a_l+h)
.PP
for the Polya specification or
.IP
L log(A) \- sum_{l=1}^L n_l log(a_l)
.PP
for the multinomial specification, where A = sum_{l=1}^L a_l and L is the
number of alternatives. The input data file should contain L rows, one for
each alternative, of the type n x1 ... XN. The first column contains the
dependent variable (# of observations) and the other columns the independent
variables. The model is specified by a function a_l=g(x1,x2...) where x1,.. XN
stands for the first, second .. N\-th column of independent variables.
.SH OPTIONS
.TP
\fB\-O\fR
type of output (default 0)
.TP
0
parameters and log\-like (ll)
.TP
1
marginal effects
.TP
2
marginal elasticities
.TP
3
n_l n*_l a*_l  *=estimated
.TP
4
occupancies classes
.TP
\fB\-F\fR
input fields separators (default " \et")
.TP
\fB\-V\fR
standard errors and p\-scores of diff. from zero using bootstrap
.TP
\fB\-r\fR
number of replicas (default 20)
.TP
\fB\-v\fR
verbosity level (default 0)
.TP
0
just results
.TP
1
comment headers
.TP
2
summary statistics
.TP
3
covariance matrix
.TP
4
minimization steps
.TP
5
model definition
.TP
\fB\-R\fR
set the rng seed (default 0)
.TP
\fB\-M\fR
set the model to use (default 0) |
.TP
0
Polya
.TP
1
multinomial
.TP
\fB\-A\fR
MLL optimization options (default 0.01,0.1,100,1e\-6,1e\-6,5)
fields are step,tol,iter,eps,msize,algo. Empty fields for default
.TP
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
algo
optimization methods: 0 Fletcher\-Reeves, 1 Polak\-Ribiere,
2 Broyden\-Fletcher\-Goldfarb\-Shanno, 3 Steepest descent, 4 simplex,
5 Broyden\-Fletcher\-Goldfarb\-Shanno\-2
.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.