Abstract
A class of truncated nonlinear mixed-effects models is constructed by assuming that the variable of interest follows a truncated distribution parametrized by a location and a scale parameter. The location parameter of the responses is associated with a nonlinear continuous function of covariates and unknown parameters, and with unobserved random effects. We also assume the scale parameter of the responses to be characterized by a known continuous function of covariates and unknown parameters. Maximum likelihood estimator of the parameters is obtained by direct maximization of the log-likelihood function via an iterative procedure, and diagnostic analysis tools are considered to check for model adequacy. A data set consisting of observations on soil-water retention from a soil profile from the Buriti Vermelho River Basin database is analyzed using the proposed methodology.
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