The hybrid bootstrap uses resampling ideas to extend the duality approach to interval estimation for a parameter of interest when there are nuisance parameters. The confidence region constructed by the hybrid bootstrap may perform much better than the ordinary bootstrap region in situations...

Government policies increasingly promote ethanol and other biofuels for security, air quality, and climate benefits. One chapter of this dissertation develops a model that links the distribution of preferences for ethanol to aggregate price responses and then estimates the model using data from...

Most national health surveys do not permit precise measurement of the health of racial/ethnic subgroups that comprise 1 per cent of the U.S. population. We identify three potentially promising sample design strategies for increasing the accuracy of national health estimates for a small target...

We consider the situation of two ordered categorical variables and a binary outcome variable, where one or both of the categorical variables may have missing values. The goal is to estimate the probability of response of the outcome variable for each cell of the contingency table of categorical...

This dissertation looks at two different problems essentially. In recent years, pseudo observations have found application in multi-state survival models, models for mean lifetime and competing risks to name a few. We have investigated the performance of estimates and confidenceintervals based...

Recently, a Bayesian paradigm was constructed for Phase I trial designs that allows for theevaluation and comparison of several nested treatment schedules, each consisting of a sequence ofadministration times. In contrast to traditional Phase I trial designs that seek to find a maximum...

Hierarchical model such as Fay–Herriot (FH) model is often used in small area estimation. The method might perform well overall but is vulnerable to outliers. We propose a robust extension of the FH model by assuming the area random effects follow a t distribution with an unknown...

In an individually matched case–control study, effects of potential risk factors are ascertained through conditional logistic regression (CLR). Extension of CLR to situations with multiple disease or reference categories has been made through polychotomous CLR and is shown to be more efficient...

We examine several variance estimators for cumulative incidence estimators that have been proposed over time, some of which are derived from asymptotic martingale or counting process theory, and some of which are developed from the moments of the multinomial distribution. There is little...