This thesis consists of three papers which investigate marginal models, nonparametric approaches, generalized mixed effects models and variance components estimation in longitudinal data analysis. In the first paper, ...

Graphical models use Markov properties to establish associations among dependent variables. To estimate spatial correlation and other parameters in graphical models, the conditional independences and joint probability di ...

Two topics concerning statistical sampling of initiative petitions are considered in this dissertation. The first concerns statistical estimation of the number of distinct valid signatures in a petition, and the second e ...

Environmental monitoring poses two challenges to statistical analysis: complex data and complex survey designs. Monitoring for system health involves measuring physical, chemical, and biological properties that have comp ...

In Bayesian analysis, means are commonly used to summarize Bayesian posterior distributions. Problems with a large number of parameters often require numerical integrations over many dimensions to obtain means. In thi ...