Now showing items 61-66 of 66

    • Tests for Differences between Least Squares and Robust Regression Parameter Estimates and Related Topics 

      Maravina, Tatiana A. (2013-04-17)
      At the present time there is no well accepted test for comparing least squares and robust linear regression coefficient estimates. To fill this gap we propose and demonstrate the efficacy of two Wald-like statistical tests ...
    • Theory and Methods for Tensor Data 

      Gerard, David C.
      We present novel methods and new theory in the statistical analysis of tensor-valued data. A tensor is a multidimensional array. When data come in the form of a tensor, special methods and models are required to capture ...
    • Topics in Graph Clustering 

      Wan, Yali
      In this thesis, two problems in social networks will be studied. In the first part of the thesis, we focus on community recovery problems for social networks. There have been many recent theoretical advances in the model-based ...
    • Topics in Statistics and Convex Geometry: Rounding, Sampling, and Interpolation 

      Gustafson, Adam Marc
      We consider a few aspects of the interplay between convex geometry and statistics. We consider three problems of interest: how to bring a convex body specified by a self-concordant barrier into a suitably “rounded” position ...
    • Topics on Least Squares Estimation 

      Han, Qiyang
      We revisit and make progress on some old but challenging problems concerning least squares estimation. Two major problems are addressed: (i) least squares estimation with heavy-tailed errors, and (ii) least squares estimation ...
    • The weighted likelihood bootstrap and an algorithm for prepivoting 

      Newton, Michael A. (Michael Abbott), 1964- (1991)
      The method of bootstrapping, which has transformed the theory and practice of frequentist statistical inference, is applicable within the Bayesian paradigm. Rather than simulating data that might have been observed, this ...