Many ecological populations can be interpreted as response surfaces; the spatial
patterns of the population vary in response to changes in the spatial patterns of
environmental explanatory variables. Collection of a pr ...
Most statistical surveys and data collection studies encounter missing data. A common
solution to this problem is to discard observations with missing data while reporting
the percentage of missing observations in diff ...
This thesis consists of extensions of results on a perpetual American swaption problem.
Companies routinely plan to swap uncertain benefits with uncertain costs in the
future for their own benefits. Our work explores t ...
Recently the independent multinomial selections model (IMS) with the
multinomial logit link has been suggested as an analysis tool for radio-telemetry
habitat selection data. This model assumes independence between ani ...
In this thesis we develop a theoretical framework for the identification of situations where the equal frequency (EF) or equal variance (EV) subclassification may produce lower bias and/or variance of the estimator. We ...
When data are not missing at random, approaches to reduce nonresponse bias include subsampling nonresponding units and modeling. The objective of this thesis is to develop unbiased and precise model-assisted estimators ...
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, ...
Semiparametric maximum likelihood analysis allows inference in errors-invariables
models with small loss of efficiency relative to full likelihood analysis but
with significantly weakened assumptions. In addition, sinc ...
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 ...
Statisticians often focus on sampling or experimental design and data analysis while
paying less attention to how the response is measured. However, the ideas of statistics may be
applied to measurement problems with f ...
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 ...
Testing main effects and interaction effects in factorial designs are basic content
in statistics textbooks and widely used in various fields. In balanced designs there
is general agreement on the appropriate main effe ...
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 ...
Quantitative habitat models of wildlife-habitat relationships are developed to
formalize our current understanding about an ecological system. A habitat
association model is one of these models that is useful for answe ...
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 ...