Bayesian beta nonlinear models with constrained parameters to describe ruminal degradation kinetics

06/08/2020

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by   Diego Salmerón, et al.

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This paper proposes a beta nonlinear model to describe the kinetics of ruminal degradation. The model generalizes the widely applied model proposed by Orskov and McDonald (1979) because the proportion of degraded food is modelled with the beta distribution and according to the Bayesian perspective. A default method to obtain a prior distribution is proposed for this model, where the application of standard methodologies, such as the Jeffreys prior (Jeffreys (1961)) or the reference priors (Bernardo (1979)), involves serious difficulties. This methodology is generalized to a larger class of models, and an implementation of the method in OpenBUGS is shown.