scalebackcoef

Given a vector of scaled (standardized) regression coefficients the function
returns the unscaled (in the original scale) regression coefficients

Estimation and inference using the Generalized Maximum Entropy (GME) and Generalized Cross Entropy (GCE) framework, a flexible method for solving ill-posed inverse problems and parameter estimation under uncertainty (Golan, Judge, and Miller (1996, ISBN:978-0471145925) "Maximum Entropy Econometrics: Robust Estimation with Limited Data"). The package includes routines for generalized cross entropy estimation of linear models including the implementation of a GME-GCE two steps approach. Diagnostic tools, and options to incorporate prior information through support and prior distributions are available (Macedo, Cabral, Afreixo, Macedo and Angelelli (2025) <doi:10.1007/978-3-031-97589-9_21>). In particular, support spaces can be defined by the user or be internally computed based on the ridge trace or on the distribution of standardized regression coefficients. Different optimization methods for the objective function can be used. An adaptation of the normalized entropy aggregation (Macedo and Costa (2019) <doi:10.1007/978-3-030-26036-1_2> "Normalized entropy aggregation for inhomogeneous large-scale data") and a two-stage maximum entropy approach for time series regression (Macedo (2022) <doi:10.1080/03610918.2022.2057540>) are also available. Suitable for applications in econometrics, health, signal processing, and other fields requiring robust estimation under data constraints.

Cabral Jorge

GCEstim

Regression Coefficients Estimation Using the Generalized Cross
Entropy

Macedo Pedro

Afreixo Vera

scalebackcoef function

<dl><dt>X.scaled</dt>
<dd>A matrix scaled with <code><a href="/link/scale?package=GCEstim&version=0.1.0" data-mini-rdoc="GCEstim::scale">scale</a></code>.</dd>
<dt>y.scaled</dt>
<dd>A vector scaled with <code><a href="/link/scale?package=GCEstim&version=0.1.0" data-mini-rdoc="GCEstim::scale">scale</a></code>.</dd>
<dt>betas.scaled</dt>
<dd>A vector of given scaled coefficients.</dd>
<dt>intercept</dt>
<dd>logical indicating if intercept is to be calculated</dd></dl>

Arguments

Jorge Cabral, <a href="/link/jorgecabral%40ua.pt?package=GCEstim&version=0.1.0" data-mini-rdoc="GCEstim::jorgecabral@ua.pt">jorgecabral@ua.pt</a>

Author

Scale coefficients back — scalebackcoef

<dl>

<dt>X.scaled</dt>
<dd>A matrix scaled with <code><a href='https://rdrr.io/r/base/scale.html'>scale</a></code>.</dd>


<dt>y.scaled</dt>
<dd>A vector scaled with <code><a href='https://rdrr.io/r/base/scale.html'>scale</a></code>.</dd>


<dt>betas.scaled</dt>
<dd>A vector of given scaled coefficients.</dd>


<dt>intercept</dt>
<dd>logical indicating if intercept is to be calculated</dd>

</dl>

Jorge Cabral, <a href='mailto:jorgecabral@ua.pt'>jorgecabral@ua.pt</a>

scalebackcoef: Scale coefficients back

Description

Usage

Value

Arguments

Author