29 citations · 97 across the 6 of their papers we have counts for
6 papers
A hyperbolastic type-I diffusion process: Parameter estimation bymeans of the firefly algorithm
Antonio Barrera, Patricia Román-Román, Francisco Torres-Ruiz
A stochastic diffusion process, whose mean function is a hyperbolastic curve of type I, is presented. Themain characteristics of the process are studied and the problem of maximum…
Study of a general growth model
G. Albano, V. Giorno, P. Román-Román +1
We discuss a general growth curve including several parameters, whose choice leads to a variety of models including the classical cases of Malthusian, Richards, Gompertz, Logistic…
The Hubbert diffusion process: Estimation via simulated annealing and variable neighborhood search procedures. Application to forecasting peak oil production
Istoni da Luz Sant'Ana, Patricia Román-Román, Francisco Torres-Ruiz
Accurately charting the progress of oil production is a problem of great current interest. Oil production is widely known to be cyclical: in any given system, after it reaches its…
A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise
Patricia Román-Román, Juan José Serrano-Pérez, Francisco Torres-Ruiz
The behaviour of many dynamic real phenomena shows different phases, with each one following a sigmoidal type pattern. This requires studying sigmoidal curves with more than one in…
Statistical analysis and first-passage-time applications of a lognormal diffusion process withmulti-sigmoidal logistic mean
Antonio Di Crescenzo, Paola Paraggio, Patricia Román-Román +1
We consider a lognormal diffusion process having a multisigmoidal logistic mean, useful to model the evolution of a population which reaches the maximum level of the growth after m…
Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics
Antonio Di Crescenzo, Paola Paraggio, Patricia Román-Román +1
We consider a generalization of the classical logistic growth model introducing more than one inflection point. The growth, called multi-sigmoidal, is firstly analyzed from a deter…