ABSTRACT We consider an extension of the Gompertz homogeneous diffusion process by introducing time functions (exogenous factors) that affect its trend. After obtaining its transition probability density function, the inference on the parameters of the process is obtained by considering discrete sampling of the sample paths. Finally, we apply this stochastic process to model housing price in Spain.
['R. Gutiérrez', 'Ramón Gutiérrez-Sánchez', 'Ahmed Nafidi', 'P. Román', 'F. Torres']
INFERENCE IN GOMPERTZ-TYPE NONHOMOGENEOUS STOCHASTIC SYSTEMS BY MEANS OF DISCRETE SAMPLING