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Statistics and Probability

Dissertations, Theses, and Masters Projects

Theses/Dissertations

Articles 1 - 14 of 14

Full-Text Articles in Physical Sciences and Mathematics

Computational Graphics And Statistical Analysis: Mixed Type Random Variables, Confidence Regions, And Golden Quantile Rank Sets, Christopher Weld Jan 2019

Computational Graphics And Statistical Analysis: Mixed Type Random Variables, Confidence Regions, And Golden Quantile Rank Sets, Christopher Weld

Dissertations, Theses, and Masters Projects

This dissertation has three principle areas of research: mixed type random variables, confidence regions, and golden quantile rank sets. While each offers a specific focus, some common themes persist; broadly stated, there are three. First, computational graphics play a critical role. Second, software development facilitates implementation and accessibility. Third, statistical analysis---often attributable to the aforementioned automation---provides valuable insights and applications. Each of the principle research areas are briefly summarized next. Mixed type random variables are a hybrid of continuous and discrete random variables, having components of both continuous probability density and discrete probability mass. This dissertation illustrates the challenges inherent …


Are Occupancy Models Feasible Alternatives To Collecting Breeding Data?, Morgan D. Niccoli Jan 2013

Are Occupancy Models Feasible Alternatives To Collecting Breeding Data?, Morgan D. Niccoli

Dissertations, Theses, and Masters Projects

No abstract provided.


Status, Distribution And Reproductive Rates Of American Oystercatchers In Virginia, Alexandra Lee Wilke Jan 2008

Status, Distribution And Reproductive Rates Of American Oystercatchers In Virginia, Alexandra Lee Wilke

Dissertations, Theses, and Masters Projects

No abstract provided.


Development Of Generalized Index-Removal Models, With Particular Attention To Catchability Issues, Thomas F. Ihde Jan 2006

Development Of Generalized Index-Removal Models, With Particular Attention To Catchability Issues, Thomas F. Ihde

Dissertations, Theses, and Masters Projects

The index-removal method estimates abundance, exploitation and catchability coefficient, given surveys conducted before and after a known removal. The method assumes a closed population between surveys. Index-removal has seldom been applied due to its strong assumption of constant survey catchabilities. This work generalizes the method to allow multiple years of data to be incorporated, and the assumptions of the original model to be relaxed. If catchability is constant across years, precision can be improved by analyzing multi-year data simultaneously. Two multiple-year models were developed: the first, 1qIR, assumes constant catchability within and among years; the second, 2qIR, allows catchability to …


Application Of Survival Analysis Methods To Pulsed Exposures: Exposure Duration, Latent Mortality, Recovery Time, And The Underlying Theory Of Survival Distribution Models, Yuan Zhao Jan 2005

Application Of Survival Analysis Methods To Pulsed Exposures: Exposure Duration, Latent Mortality, Recovery Time, And The Underlying Theory Of Survival Distribution Models, Yuan Zhao

Dissertations, Theses, and Masters Projects

Ecotoxicologists adopted median lethal concentration (LC50) methods from mammalian toxicology. This conventional LC50 approach has shortcomings. Fixing the exposure duration and selecting the 50% mortality level result in loss of ecologically relevant information generated at all other times. It also ignores latent mortality that can manifest after exposure ends. as a result, it cannot adequately predict pulsed exposure effects in which concentration, duration, and frequency of pulses change through time. The underlying theory of the dose-response models used to calculate LC50 values, stochastic versus individual effective dose (IED) theory, has not been tested rigorously either. In this study, the effects …


Status And Demographic Analysis Of The Dusky Shark, Carcharhinus Obscurus, In The Northwest Atlantic, Jason G. Romine Jan 2004

Status And Demographic Analysis Of The Dusky Shark, Carcharhinus Obscurus, In The Northwest Atlantic, Jason G. Romine

Dissertations, Theses, and Masters Projects

No abstract provided.


Simulation And Numerical Solution Of Stochastic Petri Nets With Discrete And Continuous Timing, Robert Linzey Jones Iii Jan 2002

Simulation And Numerical Solution Of Stochastic Petri Nets With Discrete And Continuous Timing, Robert Linzey Jones Iii

Dissertations, Theses, and Masters Projects

We introduce a novel stochastic Petri net formalism where discrete and continuous phase-type firing delays can appear in the same model. By capturing deterministic and generally random behavior in discrete or continuous time, as appropriate, the formalism affords higher modeling fidelity and efficiencies to use in practice. We formally specify the underlying stochastic process as a general state space Markov chain and show that it is regenerative, thus amenable to renewal theory techniques to obtain steady-state solutions. We present two steady-state analysis methods depending on the class of problem: one using exact numerical techniques, the other using simulation. Although regenerative …


A Numerical Simulation And Statistical Modeling Of High Intensity Radiated Fields Experiment Data, Laura Smith Jan 2001

A Numerical Simulation And Statistical Modeling Of High Intensity Radiated Fields Experiment Data, Laura Smith

Dissertations, Theses, and Masters Projects

No abstract provided.


Algorithms For Operations On Probability Distributions In A Computer Algebra System, Diane Lynn Evans Jan 2001

Algorithms For Operations On Probability Distributions In A Computer Algebra System, Diane Lynn Evans

Dissertations, Theses, and Masters Projects

In mathematics and statistics, the desire to eliminate mathematical tedium and facilitate exploration has lead to computer algebra systems. These computer algebra systems allow students and researchers to perform more of their work at a conceptual level. The design of generic algorithms for tedious computations allows modelers to push current modeling boundaries outward more quickly.;Probability theory, with its many theorems and symbolic manipulations of random variables is a discipline in which automation of certain processes is highly practical, functional, and efficient. There are many existing statistical software packages, such as SPSS, SAS, and S-Plus, that have numeric tools for statistical …


A Probability Programming Language: Development And Applications, Andrew Gordon Glen Jan 1998

A Probability Programming Language: Development And Applications, Andrew Gordon Glen

Dissertations, Theses, and Masters Projects

A probability programming language is developed and presented; applications illustrate its use. Algorithms and generalized theorems used in probability are encapsulated into a programming environment with the computer algebra system Maple to provide the applied community with automated probability capabilities. Algorithms of procedures are presented and explained, including detailed presentations on three of the most significant procedures. Applications that encompass a wide range of applied topics including goodness-of-fit testing, probabilistic modeling, central limit theorem augmentation, generation of mathematical resources, and estimation are presented.


Stock Enhancement Of Caribbean Spiny Lobster, Panulirus Argus Latrielle, Using Artificial Shelters: Patterns Of Survival And Dynamics Of Shelter Selection, David Bryan Eggleston Jan 1991

Stock Enhancement Of Caribbean Spiny Lobster, Panulirus Argus Latrielle, Using Artificial Shelters: Patterns Of Survival And Dynamics Of Shelter Selection, David Bryan Eggleston

Dissertations, Theses, and Masters Projects

Field tethering experiments in seagrass beds of Bahia de la Ascension, Mexico examined the impact of different-sized artificial shelters upon survival of three juvenile size-classes of the Caribbean spiny lobster, Panulirus argus. The artificial shelters were concrete structures (casitas) that simulate lobster dens. In the tethering experiments, spiny lobster survival was generally higher in smaller than larger casitas, though the effect depended upon the relationship between lobster and shelter size. Thus, spiny lobster survival depends not only upon the availability of shelter, but also on the scaling between shelter size and lobster size. These results suggest that placement of appropriately-scaled …


Stock Identification Of Weakfish, Cynoscion Regalis, By Discriminant Function Analysis Of Morphometric Characters, Daniel R. Scoles Jan 1990

Stock Identification Of Weakfish, Cynoscion Regalis, By Discriminant Function Analysis Of Morphometric Characters, Daniel R. Scoles

Dissertations, Theses, and Masters Projects

No abstract provided.


The Least Tern In Virginia: Breeding Biology And Population Distribution, John William Akers Jan 1975

The Least Tern In Virginia: Breeding Biology And Population Distribution, John William Akers

Dissertations, Theses, and Masters Projects

No abstract provided.


A Numerical And Spatial Study Of The Meadow Vole, Microtus Pennsylvanicus, Margaret Whitney Higgins Bowker Jan 1973

A Numerical And Spatial Study Of The Meadow Vole, Microtus Pennsylvanicus, Margaret Whitney Higgins Bowker

Dissertations, Theses, and Masters Projects

No abstract provided.