Hierarchical likelihood approach for frailty models

By Il Do Ha, Youngjo Lee, Jae-Kee Song. 2001

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Estimating Frailty Models via Poisson Hierarchical Generalized Linear Models (2003, methodology): “Although the nuisance term `11ij reappears in the estimating Equation (3.1) due to ¿ , the Weibull-parametric models can be still tted via Poisson hierarchical generalized linear models based on the following trick.”
Double hierarchical generalized linear models (with discussion) (2006, methodology): “This method works generally well in various models: see the simulation studies of Poisson and binomial models with moderately large binomial denominator (Lee and Nelder, 2001a), of frailty models (Ha et al., 2001) and of mixed linear models with censoring (Ha et al., 2002).”
Double hierarchical generalized linear models (2006, methodology): “This method works generally well in various models: see the simulation studies of Poisson and binomial models with moderately large binomial denominator (Lee and Nelder, 2001a), of frailty models (Ha et al., 2001) and of mixed linear models with censoring (Ha et al., 2002).”
Nested generalized linear mixed models: an orthodox best linear unbiased predictor approach (2007, background): “More important, the conditional mode predictors often lead to biased estimating equations and inconsistent parameter estimators, especially in cases where the number of clusters increases (Jiang, 1998; Ha et al., 2001).”