Now showing items 34-53 of 65

    • Maximum likelihood estimation in Gaussian AMP chain graph models and Gaussian ancestral graph models 

      Drton, Mathias, 1975- (2004)
      Graphical Markov models use graphs to represent dependencies between stochastic variables. Via Markov properties, missing edges in the graph are translated into conditional independence statements, which, in conjunction ...
    • Methods for estimation and inference for high-dimensional models 

      Lin, Lina
      This thesis tackles three different problems in high-dimensional statistics. The first two parts of the thesis focus on estimation of sparse high-dimensional undirected graphical models under non-standard conditions, ...
    • Model-Based Penalized Regression 

      Griffin, Maryclare Carney
      This thesis contains three chapters that consider penalized regression from a model-based perspective, interpreting penalties as assumed prior distributions for unknown regression coefficients. In the first chapter, we ...
    • Modeling Heterogeneity within and between Matrices and Arrays 

      Fosdick, Bailey Kathryn (2013-11-14)
      Datasets in the form of matrices and arrays arise frequently in the social and biological sciences and are characterized by measurements indexed by two or more factors. In this dissertation we address two problems relating ...
    • Monte Carlo estimation of identity by descent in populations 

      Glazner, Chris
      Genetic similarity between organisms arises from segments of shared genome, which are said to be identical by descent (IBD). Modeling IBD in pedigrees forms the basis of classical linkage analysis and has been a fruitful ...
    • Monte Carlo likelihood calculation for identity by descent data 

      Browning, Sharon, 1973- (1999)
      Two individuals are identical by descent at a genetic locus if they share the same gene copy at that locus due to inheritance from a recent common ancestor. Identity by descent can be thought of as a continuous process ...
    • Nonparametric inference on monotone functions, with applications to observational studies 

      Westling, Theodore
      In this dissertation, we study general strategies for constructing nonparametric monotone function estimators in two broad statistical settings. In the first setting, a sensible initial estimator of the monotone function ...
    • Parameter Identification and Assessment of Independence in Multivariate Statistical Modeling 

      Weihs, Luca
      We are interested in the extent to which, possibly causal, relationships can be statistically quantified from multivariate data obtained from a system of random variables. In the ideal setting, we would begin with refined ...
    • Phylogenetic Stochastic Mapping 

      Irvahn, Jan
      Phylogenetic stochastic mapping is a method for reconstructing the history of trait changes on a phylogenetic tree relating species/organisms carrying the trait. State-of-the-art methods assume that the trait evolves ...
    • Portfolio Optimization with Tail Risk Measures and Non-Normal Returns 

      Zhu, Minfeng (2010-08-20)
      The traditional Markowitz mean-variance portfolio optimization theory uses volatility as the sole measure of risk. However, volatility is flawed both intuitively and theoretically: being symmetric it does not differentiate ...
    • Predictive Modeling of Cholera Outbreaks in Bangladesh 

      Koepke, Amanda Allen
      Despite seasonal cholera outbreaks in Bangladesh, little is known about the relationship between environmental conditions and cholera cases. We seek to develop a predictive model for cholera outbreaks in Bangladesh based ...
    • Preferential sampling and model checking in phylodynamic inference 

      Karcher, Michael D
      Estimating population size fluctuations is one of the key tasks in Ecology. Traditional sampling based approaches to this task have limitations when populations of interest are extinct or are hard to reach, as is the case ...
    • Probabilistic Population Projection for Countries with Generalized HIV/AIDS Epidemics 

      He, Yanjun
      Population projection has long been an issue for researchers, governments and international organizations so that they can monitor and plan development and resources. The United Nation Population Division (UNPD) publishes ...
    • Projection and Estimation of International Migration 

      Azose, Jonathan Jerome
      I propose techniques for improving both estimation and projection of international migration. By applying a Bayesian hierarchical modeling approach to net migration data, I produce projections of international migration ...
    • R-squared inference under non-normal error 

      Xu, Lei
      Assessment of the relationship between diet and health status, especially association between diet and chronic disease risk, has attracted lot of research interest in statistical and epidemiologic studies. However, due to ...
    • R-squared inference under non-normal error 

      Xu, Lei
      Assessment of the relationship between diet and health status, especially association between diet and chronic disease risk, has attracted lot of research interest in statistical and epidemiologic studies. However, due to ...
    • A resampling approach to clustering with confidence 

      Chiam, Yuan (2012-09-13)
      We propose a method for estimating the number of groups in a data set. Our method is an extension of Generalized Single Linkage clustering (GSL) (Stuetzle and Nugent 2010), a nonparametric clustering method based on the ...
    • Robust estimation of factor models in finance 

      Bailer, Heiko Manfred (2005)
      Standard asset-pricing models entail expressions for expected returns in terms of coefficients relative to risk factors. Methods to estimate premiums of risk factors have, at its core, a single or multiple linear regression ...
    • Scalable Manifold Learning and Related Topics 

      McQueen, James
      The subject of manifold learning is vast and still largely unexplored. As a subset of unsupervised learning it has a fundamental challenge in adequately defining the problem but whose solution is to an increasingly important ...
    • Scalable Methods for the Inference of Identity by Descent 

      Grimson, Fiona
      Identity by descent (IBD) describes the shared inheritance of DNA and underlies genetic similarity between individuals. Estimated IBD graphs describing the IBD relationships among individuals have many uses in statistical ...