Search results
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Title
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Asymptotic Normality of Entropy Estimators
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Author
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Zhang, Xing
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...
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Title
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Abstract visualization of large-scale time-varying data
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Author
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Yu, Li
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Date Created
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2012
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Subjects--Topical
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Computer science, Computer engineering
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Description
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The explosion of large-scale time-varying datasets has created critical challenges for scientists to study and digest. One core problem for visualization is to develop effective approaches that can be used to study various data features and tempor...
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Title
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Modeling Vector Time Series Data
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Author
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Liu, Yi
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Date Created
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2013
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Subjects--Topical
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Statistics
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Description
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ABSTRACTIn this dissertation, firstly, I study spatial quantile regression estimation of multivariate threshold time series models. Asymptotic normality of the proposed spatial quantile regression estimator is established. Simulations and a real e...
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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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NONPARAMETRIC PREDICTIVE REGRESSION
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Author
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Yu, Xintian
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Date Created
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2016
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Subjects--Topical
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Statistics, Finance, Economics
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Description
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In financial time series nonlinear effects and time-varying effects are observed. In this dissertation we propose a predictive regression model with time varying coefficients and functional coefficients. It allows for nonstationary predictors. We establi...
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Title
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Non-nested Model Selection via Empirical Likelihood
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Author
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Zhao, Cong
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Date Created
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2017
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Subjects--Topical
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Statistics
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Description
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In this dissertation we propose an empirical likelihood ratio (ELR) test to conductnon-nested model selection. It allows for heteroscedasticity and works for any twosupervised statistical learning methods under mild conditions. We establish asympt...
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Title
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Spectrum-based and Collaborative Network Topology Analysis and Visualization
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Author
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Hu, Xianlin
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Date Created
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2013
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Subjects--Topical
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Information technology
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Description
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Networks are of significant importance in many application domains, such as World WideWeb and social networks, which often embed rich topological information. Since network topology captures the organization of network nodes and links, studying ne...
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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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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...
