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SUMMARY:PhD Dissertation Defense: Mr. Marco Vaassen
DESCRIPTION:A Bootstrap Goodness-of-Fit Test for Parametric Survival Models\nMr. Marco Vaassen\nGraduate Student\nUniversity of Wisconsin-Milwaukee \nIn many scientific disciplines\, finding a suitable model compatible with real-world observations is the basis for statistical inference and prediction. In survival analysis\, this task is further complicated by censoring. This dissertation introduces a new bootstrap approach to goodness-of-fit testing for parametric survival models\, based on the Kaplan–Meier process with estimated parameters. The test statistic compares the nonparametric Kaplan–Meier estimator to a fitted parametric model\, quantifying deviations from the null via functionals that yield Kolmogorov–Smirnov or Cramér–von Mises-type tests. We establish the asymptotic correctness of our method by showing that the original and bootstrap test statistics have the same weak limit under the null. The result is a consistent\, easily implementable framework for assessing model fit in censored settings. \nAdvisor:\nProf. Richard Stockbridge\, Prof. Gerhard Dikta \nCommittee Members:\nProf. Richard Stockbridge\, Prof. Gerhard Dikta\, Prof. Chao Zhu\, Prof. David Spade\, and Prof. Vincent Larson
URL:https://uwm.edu/math/event/phd-dissertation-defense-mr-marco-vaassen/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Graduate Student Defenses
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