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Title: Weighted maximum likelihood estimation for individual growth models
Authors: Jacinto, Gonçalo
Filipe, Patrícia
Braumann, Carlos
Keywords: Bootstrap estimation
cattle growth
stochastic differential equations
weighted maximum likelihood estimation
Issue Date: 21-Oct-2022
Publisher: Taylor & Francis
Citation: G. Jacinto, P. A. Filipe & C. A. Braumann (2022) Weighted maximum likelihood estimation for individual growth models, Optimization, 71:11, 3295-3311, DOI: 10.1080/02331934.2022.2075745
Abstract: We apply a class of stochastic differential equations to model individual growth in a randomly fluctuating environment using cattle weight data. We have used maximum likelihood theory to estimate the parameters. However, for cattle data, it is often not feasible to obtain animal's observations at equally spaced ages nor even at the same ages for different animals and there is typically a small number of observations at older ages. For these reasons, maximum likelihood estimates can be quite inaccurate, being interesting to consider in the likelihood function a weight function associated to the elapsed times between two consecutive observations of each animal, which results in the weighted maximum likelihood method. We compare the results obtained from both methods in several data structures and conclude that the weighted maximum likelihood improves the estimation when observations at older ages are scarce and the observation instants are unequally spaced, whereas the maximum likelihood estimates are recommended when animals are weighted at equally spaced ages. For unequally spaced observations, a bootstrap estimation method was also applied to correct the bias of the maximum likelihood estimates; it revealed to be a more precise alternative, except when the available data only has young animals.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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