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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Modeling Distances Between Various Attractions And Nearest City Parks Using Exponential Distribution, Ashley Hall
Modeling Distances Between Various Attractions And Nearest City Parks Using Exponential Distribution, Ashley Hall
Scholars Week
We examine the park data in Twin Cities Metropolitan Area (TCMA) to understand the distances between various attractions (water features, transit stops, bike paths, sport fields, etc.) and nearest city parks. We verify our research hypothesis that these distance variables are exponentially distributed using histograms and chi-squared goodness-of-fit test. Our findings suggest that most of the distance variables are indeed exponentially distributed except the one that measures the distance between the metropolitan area and the nearest city parks. Based on that, we further hypothesize that the locations of the various attractions relative to the nearest city parks follow the spatial …
Vibrations On Networks, Zachary Pontrantolfi
Vibrations On Networks, Zachary Pontrantolfi
Scholars Week
Studying vibrations on networks helps inform our understanding of random processes on other networks with similar geometry. We discuss two physical models to build up intuition about their eigenvectors. We conclude with a hidden connection between the rate of convergence of random walks, and the ground state energies of molecules.
A Quantitative Assessment Of The Diabetes Self-Management Education Program, Grace Mcfarlane
A Quantitative Assessment Of The Diabetes Self-Management Education Program, Grace Mcfarlane
Scholars Week
A Diabetes Self-Management Education (DSME) program offered in an inner-city health center run by the Cincinnati Health Department, which started in 2014, was created to help those in an underserved population learn how to manage their diabetes. Two key measurements, A1C (glycated hemoglobin) and BMI (body mass index), were taken over time to monitor their progress. In this study, we analyzed quantitatively whether or not there was a significant improvement in their BMI and A1C values over the course of two years since they joined DSME program as any improvement would imply a potentially healthier lifestyle in regards to their …
Modeling And Forecasting Crime Patterns In Bellingham, Washington, Zachary Domingo, Eric Shoner
Modeling And Forecasting Crime Patterns In Bellingham, Washington, Zachary Domingo, Eric Shoner
Scholars Week
Our purpose is to use time series analysis to model and forecast the underlying dynamics behind crime in Bellingham, Washington. Using recent monthly data from the Bellingham Police Department, we considered singular spectrum analysis and autoregressive moving average modelling techniques to estimate significant deterministic patterns in the data. After examining the multitude of data provided, we narrowed down to two categories of crime: alcohol offenses and domestic violence. We created two time series models for each category and compared them to each other. The better performing model was used to forecast the number of crime incidents for ten months and …
Short-Term Volatility Curve Predictions Using Singular Spectrum Analysis, Nick Odell
Short-Term Volatility Curve Predictions Using Singular Spectrum Analysis, Nick Odell
Scholars Week
This project aims to produce accurate volatility forecasts, using high-frequency financial time series data. The primary mathematical methods used are Functional Data Analysis, time series analysis techniques such as Autoregressive Models and a comparison between Multi-variate and Uni-variate Singular Spectrum Analysis. These results aim to be useful for financial risk quantification.