TY  - JOUR
ID  - Rydlewski2012
LB  - Rydlewski2012
AU  - Rydlewski, Jerzy P.
AU  - Mielczarek, Dominik
TI  - On the maximum likelihood estimator in the generalized beta regression model
ST  - On the maximum likelihood estimator in the generalized beta regression model
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 4
SP  - 761
EP  - 774
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.4.761
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.4.761
AB  - The subject of this article is to present the beta - regression model, where we assume that one parameter in the model is described as a combination of algebraically independent continuous functions. The proposed beta model is useful when the dependent variable is continuous and restricted to the bounded interval. The parameters are obtained by maximum likelihood estimation. We prove that estimators are consistent and asymptotically normal.
KW  - nonlinear regression
KW  - beta distribution
KW  - scale parameter
KW  - shape parameter
KW  - maximum likelihood estimator
SN  - 1232-9274
ER  -