Now showing items 1-5 of 5

    • Applications of Geometry in Optimization and Statistical Estimation 

      Maroufy, Vahed (University of Waterloo, 2016-01-25)
      Geometric properties of statistical models and their influence on statistical inference and asymptotic theory reveal the profound relationship between geometry and statistics. This thesis studies applications of convex ...
    • Discrimination in Insurance Pricing 

      Araiza Iturria, Carlos Andres (University of Waterloo, 2023-04-10)
      Discrimination is an ongoing problem in the insurance industry that persists, regardless of intent, when the insurer blinds the pricing process from socially controversial or legally prohibited input. In this thesis, we ...
    • Empirical Likelihood and Bootstrap Inference with Constraints 

      Wang, Chunlin (University of Waterloo, 2017-01-18)
      Empirical likelihood and the bootstrap play influential roles in contemporary statistics. This thesis studies two distinct statistical inference problems, referred to as Part I and Part II, related to the empirical ...
    • Excursion Sets and Critical Points of Gaussian Random Fields 

      Qi, Weinan (University of Waterloo, 2022-09-02)
      Modeling the critical points of a Gaussian random field is an important challenge in stochastic geometry. In this thesis, we focus on stationary Gaussian random fields and study the locations and types of the critical ...
    • On imprecision in statistical theory 

      Shum, Marco Yan Shing (University of Waterloo, 2022-01-06)
      This thesis provides an exploration of the interplay between imprecise probability and statistics. Mathematically, one may summarise this relationship as how (Bayesian) sensitivity analysis involving a set of (prior) models ...


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