Estimability and Likelihood Inference for Generalized Linear Mixed Models Using Data Cloning

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Estimation of a non-stationary model for annual precipitation in southern Norway using replicates of the spatial field (2014, background): “Furthermore, one often does not know whether there are identifiablity issues (Lele et al., 2010).”
Optimal Model Averaging Estimation for Generalized Linear Models and Generalized Linear Mixed-Effects Models (2016, methodology): “With incorporating the random effects into GLM, GLMM is a routine choice for the analysis of nonnormal and correlated data, consists of some of the most useful models in statistics (Lele, Nadeem, and Schmuland 2010), and has been widely used in various scientific areas.”
The cave of Shadows. Addressing the human factor with generalized additive mixed models (2015, methodology): “Would researchers come to ‘wrong’ conclusions if they analyze data simply using maximal linear models, without taking the human factor into account, without paying attention to whether the model is overfitting the data with mathematically uninterpretable parameters (Lele et al., 2012; Bates et al., ”
Programming With Models: Writing Statistical Algorithms for General Model Structures With NIMBLE (2015, methodology): “…of Markov chain Monte Carlo (MCMC) algorithms (Brooks et al., 2011), development of maximum likelihood methods (e.g., Jacquier et al., 2007; Lele et al., 2010; de Valpine, 2012), new approximations (e.g., Rue et al., 2009), methods for model selection and assessment (e.g., Hjort et al.,…”