Search results
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Title
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A partial posterior p value test for multilevel mediation
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Author
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Cox, Kyle, Kelcey, Benjamin
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Date Created
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2023
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Subjects--Topical
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Statistics, Mathematics
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Description
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A variety of inferential tests are available for single and multilevel mediation but most come with notable limitations that balance tradeoffs between power and Type I error. We extend the partial posterior p value method (p3 method) to test multi...
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Title
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Analysis of failure time data with missing and informative auxiliary covariates.
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Author
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Ghosh, Lipika
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Date Created
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2011
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Subjects--Topical
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Statistics, Mathematics, Biometry
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Description
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In this dissertation we use Cox's regression model to failure time data with continuous informative auxiliary variables in the presence of a validation subsample. The work is motivated by a common problem of missing or mismeasured covariates in su...
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Title
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Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
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Author
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Johnson, Isabella
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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Unemployment rate reached an astronomical high in 2020 due to the Covid-19 pandemic.The media began reporting on increasing crime rates due to the unemployment rate rising. The Center for Disease Control (CDC) reported that over 81,000 drug overdo...
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Title
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Generalized semiparametric varying-coefficient models for longitudinal data
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Author
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Qi, Li
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Date Created
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2015
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Subjects--Topical
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Mathematics, Statistics, Biometry
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Description
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In this dissertation, we investigate the generalized semiparametric varying-coefficient models for longitudinal data that can flexibly model three types of covariate effects: time-constant effects, time-varying effects, and covariate-varying effec...
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Title
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Goodness-of-Fit Tests Under Permutations
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Author
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Chen, Chen
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Date Created
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2019
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Subjects--Topical
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Statistics, Mathematics, Information science
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Description
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Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....
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Title
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Improving Semiparametric Estimation of Longitudinal Data with Covariance Function
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Author
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Fang, Fang
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Date Created
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2018
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Subjects--Topical
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Mathematics, Statistics, Biometry
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Description
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In this dissertation, we aim to improve efficiency of estimation in longitudinal data under generalized semi-parametric varying-coefficient models.First, we investigate a profile weighted least square approach for model estimation by utilizing wit...
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Title
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LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
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Author
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Turhan, Nezihe
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Date Created
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2016
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Subjects--Topical
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Statistics, Mathematics
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Description
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The goal of this dissertation is to develop some classical limit theorems for the additive functionals of the homogeneous Markov chains in the special class of the so-called, Loop Markov Chains. The additive functionals of the Markov chains have t...
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Title
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March Madness prediction using quantile regression
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Author
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Mays, Kimberly
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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The annual NCAA Division I men’s basketball tournament is one of the most prominent sporting events in the United States and the subject of much interest among fans and statisticians alike. In this work, we propose a new method for predicting ther...
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Title
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Multivariate Functional Predictor Selection
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Author
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Mahzarnia, Ali
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Date Created
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2021
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Subjects--Topical
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Mathematics, Statistics
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Description
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We propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under a high-dimensional multivariate functional data setting. In particular, we d...
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Title
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SEVERAL STATISTICAL RESULTS UNDER MULTINOMIAL DISTRIBUTION WITH INFINITE CATEGORIES
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Author
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Zhou, Jun
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Date Created
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2009
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Subjects--Topical
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Statistics, Mathematics
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Description
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This dissertation discusses several statistical results under multinomial distribution with infinite categories. Firstly, the discussion focuses on Simpson's diversity index and Turing's formula. We established an unbiased estimate for the newly p...
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Title
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The Study of Loop Markov Chains
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Author
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Gillespie Jr., Perry
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Date Created
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2011
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Subjects--Topical
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Mathematics, Statistics
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Description
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The purpose of my research is the study of Loop Markov Chains. This model contains several loops, which could be connected at several different points. The focal point of this thesis will be when these loops are connected at one single point. Insi...