Stochastic diffusion processes for a general growth curve

G. Albano, A. J. Barrera García, V. Giorno, P. Román Román, F. A. Torres Ruiz

Stochastic models generalizing deterministic growth curves play an important role in modeling several dynamic phenomena, ranging from economics to medicine. The talk focuses on a quite general growth curve able to unify the classical cases of Malthusian, Richards, Gompertz, Logistic and some their generalizations. Here two stochastic models are obtained by introducing a moltiplicative and an additive noise to the deterministic equation. We show that the resulting processes are lognormal and gaussian respectively. The problem of estimating the parameters of the model is analyzed by means of the maximum likelihood method. Due to the parametric structure of the processes, the resulting systems of equations are quite complex and numerical resolutions and related problems are discussed.

Keywords: Growth curve, diffusion process, maximum likelihood estimation

Scheduled

Invited session Spanish-Italian
June 9, 2022  10:10 AM
Conference hall

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