Modeling distances between various attractions and nearest city parks using exponential distribution
Research Mentor(s)
Noguchi, Kimihiro
Description
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 Poisson process.
Document Type
Event
Start Date
15-5-2019 9:00 AM
End Date
15-5-2019 5:00 PM
Location
Carver Gym (Bellingham, Wash.)
Department
Mathematics
Genre/Form
student projects, posters
Subjects – Topical (LCSH)
Parks--Minnesota--Minneapolis Metropolitan Area--Mathematical models; Parks--Minnesota--Saint Paul Metropolitan Area; Poisson algebras; Chi-square test
Geographic Coverage
Minneapolis Metropolitan Area (Minn.); Saint Paul Metropolitan Area (Minn.)
Type
Image
Keywords
Exponential Distribution, Modeling Distances, Kolomogorov-Smirnov Test, Spatial Poisson Process
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Modeling distances between various attractions and nearest city parks using exponential distribution
Carver Gym (Bellingham, Wash.)
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 Poisson process.