Master's Theses

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Browsing Master's Theses by Author "Acoose, Tannen Darnell"

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    Some Probability Properties of the Crack Distribution
    (Faculty of Graduate Studies and Research, University of Regina, 2017-08) Acoose, Tannen Darnell; Volodin, Andrei; Doolittle, Edward; Fallat, Shaun; McMartin, Dena
    The 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.