A stochastic process is given by a family of random variables indexed by elements of a set. We have considered stochastic processes of three different types, each involving an associated martingale structure. Martingale is a sequence of random variables for which the conditional expectation at a certain time point given...
Forests play an integral role in the global carbon cycle, regulating the atmospheric CO₂ concentration by sequestering nearly one third of anthropogenic carbon emissions and storing carbon for centuries. Forest ecosystems are integrated into the culture, ecology, and economy of western North America, supporting wildlife habitat, local economies, recreation, and...
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...
For spatial data visualization, we approach two problems and provide solutions: heat map resolution selection, and heat map confidence interval presentation. Analysts often present spatial data in gridded heat maps, at some chosen resolution. However, many data types vary in density across the domain. We develop variable-resolution heat maps to...
These studies focused on maximizing the nutrition and safety of raw whole
muscle beef while minimizing quality and shelf-life alteration. The first study used
response surface methodology to predict fluid loss from injected beef strip loins and
steaks as influenced by levels of salt and sodium phosphates (SP) in the...
Differential expression (DE) analysis is a key task in gene expression study, because it uncovers the association between expression levels of a gene and the covariates of interest. This dissertation pertains to two particular aspects of DE analysis—identifying stably expressed genes for count normalization and accounting for correlation between DE...
Estimating volume gains in genetically improved stands at rotation age is challenging because first-generation progeny tests in Douglas-fir were typically established to measure the relative growth performance of individual trees from open-pollinated parent trees. The overall goal of this dissertation research was to improve growth simulation of genetically improved Douglas-fir...
Improving the methods used for the detection and estimation of fissile material mass content is essential to nuclear security and safeguards to ensure special nuclear material (SNM) accountability, control, safety and security. With the continued expansion of the nuclear industry and the need for safe management of spent fuel, improving...
Differential expression (DE) analysis allows us to identify genes that respond differently under varying experimental conditions, therefore granting us an understanding of the molecular basis of phenotypic variation. Following the identification of significantly differentially expressed genes, it is often of the researcher's interest to elucidate hidden patterns or groups in...
Physical experimentation in various scientific and engineering areas continues to be a useful and often necessary approach that is applied in research, development, and for general problem solving. The experimental design process however, is iterative and often involves trial and error. Alternative designs are proposed and evaluated on cost and...