Some Probability Properties of the Crack Distribution

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dc.contributor.advisorVolodin, Andrei
dc.contributor.advisorDoolittle, Edward
dc.contributor.authorAcoose, Tannen Darnell
dc.contributor.committeememberFallat, Shaun
dc.contributor.externalexaminerMcMartin, Dena
dc.date.accessioned2018-11-16T17:49:43Z
dc.date.available2018-11-16T17:49:43Z
dc.date.issued2017-08
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. vi, 59 p.en_US
dc.description.abstractThe three parameter Crack distribution is useful for statistical analysis in prospective studies connected with the engineering problem of fatigue crack development in a metallic plate under some kind of pressure loading. As special cases it contains such well known distributions as the Birnbaum-Saunders distribution, the Inverse Gaussian distribution, and the Length Biased Inverse Gaussian distribution. These distributions are all related and have their own characteristics. In this thesis, in Chapter 2, I derive new, more direct and more mathematically appealing methods for obtaining the distribution function and the moment generating function for the Crack distribution. In Chapter 3 I provide new probability properties of the Crack distribution. Finally, in Chapter 4 I provide a rigorous general probabilistic model of the growth of two-sided cracks.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-8440
dc.identifier.thesisurlhttps://ourspace.uregina.ca/bitstream/handle/10294/8440/ACOOSE_Tannen_192203465_MSC_MATH_SPRING2018.pdf
dc.identifier.urihttps://hdl.handle.net/10294/8440
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.titleSome Probability Properties of the Crack Distributionen_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US
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