---
name: "gbnlpolyit"
section: "1"
platform: "linux"
package: "gbutils"
version: "6.3-1+b1"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/gbnlpolyit"
---

# gbnlpolyit(1)

Non linear polyit regression

## NAME

gbnlpolyit - Non linear polyit regression

## SYNOPSIS

**gbnlpolyit** \[*options*\] *\<function definition\>*

## DESCRIPTION

Non linear polyit estimation. Minimize the negative log-likelihood

-

  sum\_{h=0}^{L-1} log(A+h) - sum\_{l=1}^L sum\_{h=0}^{n\_l-1} log(a\_l+h)

for the Polya specification or

-

  L log(A) - sum\_{l=1}^L n\_l log(a\_l)

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.

## OPTIONS

- **-O**

  type of output (default 0)

- 0

  parameters and log-like (ll)

- 1

  marginal effects

- 2

  marginal elasticities

- 3

  n\_l n\*\_l a\*\_l  \*=estimated

- 4

  occupancies classes

- **-F**

  input fields separators (default " \\t")

- **-V**

  standard errors and p-scores of diff. from zero using bootstrap

- **-r**

  number of replicas (default 20)

- **-v**

  verbosity level (default 0)

- 0

  just results

- 1

  comment headers

- 2

  summary statistics

- 3

  covariance matrix

- 4

  minimization steps

- 5

  model definition

- **-R**

  set the rng seed (default 0)

- **-M**

  set the model to use (default 0) \|

- 0

  Polya

- 1

  multinomial

- **-A**

  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

- step

  initial step size of the searching algorithm

- tol

  line search tolerance iter: maximum number of iterations

- eps

  gradient tolerance : stopping criteria \|\|gradient\|\|\<eps

- 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

## AUTHOR

Written by Giulio Bottazzi

## REPORTING BUGS

Report bugs to \<gbutils@googlegroups.com\>

Package home page \<http://cafim.sssup.it/~giulio/software/gbutils/index.html\>

## COPYRIGHT

Copyright © 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;

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.