Search results
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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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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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Asymptotic Normality of Higher Order Turing Formulae
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Author
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Chang, Jie
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Date Created
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2022
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Subjects--Topical
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Mathematics
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Description
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Higher order Turing formulae, denoted as Tr for r ∈ Z+, are a powerful result allowing one to estimate the total probability associated with words from a random piece of writing, which have been observed exactly r times in a random sample. In part...
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Title
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Dynamic Modeling of Incomplete Event History Data
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Author
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Heng, Fei
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Date Created
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2019
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Subjects--Topical
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Statistics
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Description
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Event history analysis has important applications in many fields, such as medicine, engineering, econometrics, actuarial science, and social studies. We usually encounter missing data problems in the modeling of event history data. One typical pro...
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Title
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Essays in investments and asset allocation
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Author
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Chen, Xianzhe
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Date Created
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2016
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Subjects--Topical
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Finance
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Description
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This dissertation consists of three topics in investments and asset allocation. The first chapter studies the dynamics of macro factors and their application in asset allocation. Five meaningful economic factors are extracted from hundreds of econ...
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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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Jensen-Shannon Divergence: Estimation and Hypothesis Testing
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Author
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Stewart, Ann
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Date Created
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2019
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Subjects--Topical
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Statistics
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Description
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Jensen-Shannon divergence is one reasonable solution to the problem of measuring the level of difference or "distance'" between two probability distributions on a multinomial population. If one of the distributions is assumed to be known a priori,...
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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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Nonparametric Pricing Kernel Models
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Author
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Sun, Linman
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Date Created
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2011
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Subjects--Topical
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Mathematics
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Description
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The capital asset pricing model (CAPM) and the arbitrage asset pricingtheory (APT) have been the cornerstone in theoretical and empirical finance for the recent few decades. The classical CAPM usually assumes a simple and stable linear relationshi...
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Title
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Privacy and Spectral Analysis of Social Network Randomization
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Author
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Ying, Xiaowei
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Date Created
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2011
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Subjects--Topical
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Computer science
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Description
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Social networks are of significant importance in various application domains. Understanding the general properties of real social networks has gained much attention due to the proliferation of networked data. Many applications of networks such as ...
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Title
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STATISTICAL ANALYSIS OF MARK-SPECIFIC PROPORTIONAL HAZARDS MODEL
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Author
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Li, Mei
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Date Created
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2011
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Subjects--Topical
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Statistics
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Description
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Competing risks occur frequently in survival analysis, and in some cases, the competingrisks are not discrete. In this dissertation, we develop some statistical inferences to analyzecontinuous competing risks.In Chapter 2, inspired by the HIV vacc...
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Title
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TOPIC MODELS FOR TAGGED TEXT
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Author
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Ma, Zhiqiang
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Date Created
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2014
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Subjects--Topical
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Computer science
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Description
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Our world has been experiencing a dramatic and continually increasing growth of digital textual information. This phenomenon raises challenges in analyzing, understanding, organizing, and summarizing these large bodies of textual information. A la...