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
Other papers in the same session
A. Evangelista, C. J. Acal González, A. M. Aguilera del Pino, A. Sarra, T. Di Battista, S. Palermi
F. Fortuna, F. Maturo, A. M. Aguilera, T. Di Battista
F. Porro, M. Restaino, J. E. Ruiz Castro, M. Zenga
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6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
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5/31/22
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5/27/22
Gala Dinner
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5/23/22
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To access the Alhambra on the visit on Thursday 9, it is obligatory to present the identification document whose reference was sent to the organization (eurocongress)
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5/16/22
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