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Analysis of failure time data with missing and informative auxiliary covariates.
Title
Analysis of failure time data with missing and informative auxiliary covariates.
Author
Ghosh, Lipika
Date Created
2011
Subjects--Topical
Statistics, Mathematics, Biometry
Description
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...
Asymptotic Normality of Entropy Estimators
Title
Asymptotic Normality of Entropy Estimators
Author
Zhang, Xing
Date Created
2013
Subjects--Topical
Mathematics
Description
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...
Modeling Vector Time Series Data
Title
Modeling Vector Time Series Data
Author
Liu, Yi
Date Created
2013
Subjects--Topical
Statistics
Description
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...
NONPARAMETRIC PREDICTIVE REGRESSION
Title
NONPARAMETRIC PREDICTIVE REGRESSION
Author
Yu, Xintian
Date Created
2016
Subjects--Topical
Statistics, Finance, Economics
Description
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...
SEVERAL STATISTICAL RESULTS UNDER MULTINOMIAL DISTRIBUTION WITH INFINITE CATEGORIES
Title
SEVERAL STATISTICAL RESULTS UNDER MULTINOMIAL DISTRIBUTION WITH INFINITE CATEGORIES
Author
Zhou, Jun
Date Created
2009
Subjects--Topical
Statistics, Mathematics
Description
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...