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Modelling animal growth in random environments: An application using nonparametric estimation
Authors:Filipe Patrícia A  Braumann Carlos A  Brites Nuno M  Roquete Carlos J
Affiliation:1. Centro de Investiga??o em Matemática e Aplica??es, Universidade de évora, Colégio Luís Verney, Rua Rom?o Ramalho 59, 7000‐671 évora, Portugal;2. Instituto de Ciências Agrárias e Ambientais Mediterranicas, Universidade de évora, Núcleo da Mitra, Apartado 94, 7002‐774 évora, Portugal
Abstract:
We study a stochastic differential equation growth model to describe individual growth in random environments. In particular, in this paper, we discuss the estimation of the drift and the diffusion coefficients using nonparametric methods for the case of nonequidistant data for several trajectories. We illustrate the methodology by using bovine growth data. Our goal is to assess: (i) if the parametric models (with specific functional forms for the drift and the diffusion coefficients) previously used by us to describe the evolution of bovine weight were adequate choices; (ii) whether some alternative specific parameterized functional forms of these coefficients might be suggested for further parametric analysis of this data.
Keywords:Cattle weight  Estimation  Growth models  Stochastic differential equations
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