Cluster Analysis deals with classifying a sample of multivariate measurements into different categories. In this dissertation we study the effect of the correlation structure of the data on the performance of a clustering method. We begin with the analysis of two-component normal mixture models and then proceed to cluster analysis...
Many methods have been proposed for estimating the number, $m_0$ (or the proportion, $\pi_0$), of the true null hypotheses for adaptively controlling a type I error rate (e.g., the false discovery rate or FDR) using a multiple test procedure. Most of these methods eliminate ``significantly" non-null $p$-values. Then $m_0$ is...