N-mixture models provide a structure for making inference about a local population size while accounting for imperfect detection. Using a binomial likelihood, they assume prior distributions on the size parameters and then integrate those parameters out of the full likelihood. For large population sizes, the established frequentist methods have exhibited...
In this dissertation I will demonstrate a novel application of self-exciting point process models to mass shooting data. I will also introduce two adaptations to the traditional nonparametric Hawkes process modeling framework. One such modification allows for the estimation of the additional productivity introduced by an event that is not...
Turbines at wind projects pose a threat to birds and bats flying at altitudes within the rotor swept area. These animals die from colliding with the turbine blades. Estimating mortality, or the total number of bird or bat fatalities at a wind project, is critical to understanding environmental impacts of...
In this research, a bi-criteria batching and scheduling problem is investigated in hybrid flow shop environments, where unrelated-parallel machines are run simultaneously with different capacities and eligibilities in processing, in some stages. The objective is to simultaneously minimize a linear combination of the total weighted completion time and total weighted...
In this research, a bi-criteria batching and scheduling problem is investigated in hybrid flow shop environments, where unrelated-parallel machines are run simultaneously with different capacities and eligibilities in processing, in some stages. The objective is to simultaneously minimize a linear combination of the total weighted completion time and total weighted...
Obtaining accurate estimates of animal abundance is made difficult by the fact that most
animal species are detected imperfectly. Early attempts at building likelihood models that
account for unknown detection probability impose a simplifying assumption unrealistic for
many populations, however: no births, deaths, migration or emigration can occur in the...
Standard geostatistical models used in abundance prediction assume that observed counts on each site are made without error. However, in some wildlife populations, assuming perfect detection of animal or plant counts is unrealistic.
We first construct an adjustment to a finite population block kriging (FPBK) estimator that allows the possibility...
A copula is the representation of a multivariate distribution. Copulas are used to model multivariate data in many fields. Recent developments include copula models for spatial data and for discrete marginals. We will present a new methodological approach for modeling discrete spatial processes and for predicting the process at unobserved...
Successive sampling population size estimation (SS-PSE) is a method used by government agencies and aid organizations around the world to estimate the size of hidden populations using data from respondent-driven sampling (RDS) surveys. SS-PSE ad-dresses a specific need in estimation and helps us evaluate the vulnerability of areas to HIV...
This collection of three manuscripts serves to improve methods for collecting, interpreting, and utilizing autocorrelated data from headwater stream networks. Each stream network is comprised of linear segments. These segments lie within a unique branching structure that connects the segments via flowing water, and the connectivity provided by water varies...