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Randomly Truncated Nonlinear Mixed-Effects Models

Author

Listed:
  • Carolina Costa Mota Paraíba

    (Universidade Federal de São Carlos)

  • Carlos Alberto Ribeiro Diniz

    (Universidade Federal de São Carlos)

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.

Suggested Citation

  • Carolina Costa Mota Paraíba & Carlos Alberto Ribeiro Diniz, 2016. "Randomly Truncated Nonlinear Mixed-Effects Models," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 21(2), pages 295-313, June.
    • Handle: RePEc:spr:jagbes:v:21:y:2016:i:2:d:10.1007_s13253-016-0245-6
    DOI: 10.1007/s13253-016-0245-6
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    References listed on IDEAS

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    1. Cedric Flecher & Denis Allard & Philippe Naveau, 2010. "Truncated skew-normal distributions: moments, estimation by weighted moments and application to climatic data," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 331-345.
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