Quarter von Mises distribution

Simple item page
dc.contributor.advisorGuardiola, Jose
dc.contributor.authorMyers, Mason Gene
dc.contributor.committeeMemberGajamannage, Kelum
dc.contributor.committeeMemberJin, Lei
dc.creator.orcidhttps://orcid.org/0009-0006-7104-9575
dc.date.accessioned2024-01-05T22:48:40Z
dc.date.available2024-01-05T22:48:40Z
dc.date.issued2023-08
dc.descriptionA thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Mathematicsen_US
dc.description.abstractThe world today is increasingly relying on data science and statistics to analyze various types of directional data, such as text data, health studies, image processing, wireless sensor networks, environmental monitoring, robotics, and materials science. In many cases, these data exhibit positive orientation and require probability distributions that are confined to positive regions, such as the positive quarter of the unit circle. These facts highlight the main objective of this thesis, which is to propose a new transformation of the von Mises distribution specifically tailored for the positive quarter of the unit circle. Currently, no such distribution exists. The newly introduced distribution, referred to as the Quarter von Mises Distribution, has been thoroughly investigated in this work. The research includes characterizing the distribution through moments and developing its main properties. Additionally, methods for estimating the distribution parameters using maximum likelihood estimation are presented, along with a hypothesis testing approach using the likelihood ratio test. Furthermore, practical data applications are demonstrated to showcase the effectiveness of these methods. Overall, this thesis contributes to the field of data science and statistics by providing a novel distribution that can accurately model directional data restricted to the positive quarter of the unit circle.en_US
dc.description.collegeCollege of Scienceen_US
dc.description.departmentMathematics & Statisticsen_US
dc.format.extent54 pagesen_US
dc.identifier.urihttps://hdl.handle.net/1969.6/97725
dc.language.isoen_USen_US
dc.rightsAttribution (CC BY)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subjectcircular statistics|likelihood ratio testen_US
dc.subjectmaximum likelihood estimationen_US
dc.subjectpositive quadranten_US
dc.subjectwuarteren_US
dc.subjectvon Mises Distributionen_US
dc.titleQuarter von Mises distributionen_US
dc.typeTexten_US
dc.type.genreThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas A & M University--Corpus Christien_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US

Files

Original bundle

Now showing 1 - 3 of 3
Thumbnail Image
Name:
Myers_Mason_Thesis.pdf
Size:
1.13 MB
Format:
Adobe Portable Document Format
Download
No Thumbnail Available
Name:
Myers_Supplementary_baseballdata.csv
Size:
55 KB
Format:
Comma-Separated Values
Download
No Thumbnail Available
Name:
Myers_Supplementary_simdata.csv
Size:
1.26 KB
Format:
Comma-Separated Values
Download

Collections

Theses