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...
Survival data with ultrahigh dimensional covariates are increasingly common recently due to the rapid development in technologies. It is challenging to model them using survival models in order to understand the association between covariate infor...
This thesis constructs a Defense/Attack resource allocation model. Defender uses "locks" to protect their boxes from Attacker, and Attacker uses "bombs" to destroy as many boxes as possible. The first models of such type were given by E. Borel (19...
The case-cohort study design was originally proposed by Prentice (1986). Under this design,a random sub-cohort of individuals is selected from the cohort of study. Full covariate data are collected from all the cases in the cohort and the sub-coho...
Failure time data are commonly encountered in epidemiological and biomedical studies, where the exact time of an event may be unknown or incomplete. Many semiparametric models have been developed in the literature to analyze such data; however, th...
In this dissertation, we aim to develop a brand new method with a two-stage procedure to investigate the association between multivariate recurrent event processes. First, under the assumption of independent censoring, we model each recurrent even...
Competing risk analysis is commonly applied to time-to-event data with finitely many causes of failure. It alters the probability of the occurrence of an event of interest broken down by a specific cause. Motivated by the HIV vaccine efficacy tria...
