TY - JOUR ID - Rydlewski2009 LB - Rydlewski2009 AU - Rydlewski, Jerzy P. TI - A note on the maximum likelihood estimator in the gamma regression model ST - A note on the maximum likelihood estimator in the gamma regression model JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2009 VL - 29 IS - 3 SP - 305 EP - 312 DO - http://dx.doi.org/10.7494/OpMath.2009.29.3.305 UR - http://dx.doi.org/10.7494/OpMath.2009.29.3.305 AB - This paper considers a nonlinear regression model, in which the dependent variable has the gamma distribution. A model is considered in which the shape parameter of the random variable is the sum of continuous and algebraically independent functions. The paper proves that there is exactly one maximum likelihood estimator for the gamma regression model. KW - gamma regression KW - nonlinear regression KW - maximum likelihood estimator KW - shape parameter SN - 1232-9274 ER -