Randomly Truncated Nonlinear Mixed-Effects Models

Carolina Costa Mota Paraíba () and Carlos Alberto Ribeiro Diniz
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Carolina Costa Mota Paraíba: Universidade Federal de São Carlos
Carlos Alberto Ribeiro Diniz: Universidade Federal de São Carlos

Journal of Agricultural, Biological and Environmental Statistics, 2016, vol. 21, issue 2, No 5, 295-313

Abstract: 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.

Keywords: Iterative maximum likelihood; Diagnostic analysis; Soil-water retention (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13253-016-0245-6

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