hierarchical generalized linear models, Statistics and Probability, Generalized linear models (logistic models), Numerical Analysis, hierarchical likelihood, Restricted maximum likelihood, Estimation in multivariate analysis, Computational problems in statistics, Analysis of variance and covariance (ANOVA), Generalized linear mixed models, restricted likelihood, Restricted likelihood, restricted maximum likelihood, Laplace method, Hierarchical generalized linear models, generalized linear mixed models, Hierarchical likelihood, Parametric inference under constraints, Statistics, Probability and Uncertainty