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Fall 2013
This thesis deals with the problem proposed by Ye and Zhou (2007): Is a Q-optimal minimax design still symmetric if the requirement of $\int_\chi xm(x)dx = 0$ is removed? We have shown that for the simple linear regression, considering only the variance, a Q-optimal minimax design is necessarily...
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Fall 2016
There is an increasing interest in extreme value analysis for financial and climate data. Various statistical methods have been developed for estimating extreme value dependence in time series data sets and the field continues to grow. In this work we consider four statistical methods for...
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Fall 2011
Functional data analysis (FDA) is a fast-growing area in statistics with the aim of estimating a set of related functions or curves rather than focusing on a single entity, like estimating a point, as in classical statistics. FDA has a wide range of applications in different fields such as...
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Fall 2012
This dissertation first reviews the construction of an optimal design for a straight linear regression model with uncorrelated errors when the experimenter seeks protection against the biases which will accrue if her straight line model is slightly erroneous. The optimal design is derived from...