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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...
Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
Title
Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
Author
Johnson, Isabella
Date Created
2022
Subjects--Topical
Statistics, Mathematics
Description
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...
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...