We seek a comprehensive measurement for the economic prosperity of persons with disabilities. We survey the current literature and identify the major economic indicators used to describe the socioeconomic standing of persons with disabilities. We then develop a methodology for constructing a statistically valid composite index of these indicators, and build this index using data from the 2014 American Community Survey. Finally, we provide context for further use and development of the index and describe an example application of the index in practice.

The concentration factor edge detection method was developed to compute the locations and values of jump discontinuities in a piecewise-analytic function from its first few Fourier series coecients. The method approximates the singular support of a piecewise smooth function using an altered Fourier conjugate partial sum. The accuracy and characteristic features of the resulting jump function approximation depends on these lters, known as concentration factors. Recent research showed that that these concentration factors could be designed using aexible iterative framework, improving upon the overall accuracy and robustness of the method, especially in the case where some Fourier data are untrustworthy or altogether missing. Hypothesis testing methods were used to determine how well the original concentration factor method could locate edges using noisy Fourier data. This thesis combines the iterative design aspect of concentration factor design and hypothesis testing by presenting a new algorithm that incorporates multiple concentration factors into one statistical test, which proves more ective at determining jump discontinuities than the previous HT methods. This thesis also examines how the quantity and location of Fourier data act the accuracy of HT methods. Numerical examples are provided.

The NFL is one of largest and most influential industries in the world. In America there are few companies that have a stronger hold on the American culture and create such a phenomena from year to year. In this project aimed to develop a strategy that helps an NFL team be as successful as possible by defining which positions are most important to a team's success. Data from fifteen years of NFL games was collected and information on every player in the league was analyzed. First there needed to be a benchmark which describes a team as being average and then every player in the NFL must be compared to that average. Based on properties of linear regression using ordinary least squares this project aims to define such a model that shows each position's importance. Finally, once such a model had been established then the focus turned to the NFL draft in which the goal was to find a strategy of where each position needs to be drafted so that it is most likely to give the best payoff based on the results of the regression in part one.

This paper examines the Syrian Civil War using seven different civil war settlement theories in order to assess the likelihood of a negotiated settlement ending the conflict. The costs of war, balance of power, domestic political institutions, ethnic identity, divisibility of stakes, veto player, and credible commitment theories were used in a multi-perspective analysis of the Syrian Civil War and the possibility of a peace settlement. It was found that all of the theories except for costs of war and balance of power predict that a negotiated settlement is unlikely to resolve the conflict. Although the Syrian government and the Syrian National Coalition are currently engaged in diplomatic negotiations through the Geneva II conference, both sides are unwilling to compromise on the underlying grievances driving the conflict. This paper ultimately highlights some of the problems inhibiting a negotiated settlement in the Syrian Civil War. These obstacles include: rival ethno-religious identities of combatants, lack of democratic institutions in Syria, indivisibility of stakes in which combatants are fighting for, number of veto player combatant groups active in Syria, and the lack of a credible third party to monitor and enforce a peace settlement.