ABSTRACT

6.1 Introduction

In this final chapter we present several applications of the theory developed so far, focussing on three broad areas. In Section 6.2 we investigate tests and confidence intervals for statistical parameters such as correlation coefficients and symmetry indices, concentrating particularly on correlation coefficients for circular and spherical data. The general theme of this section is to define a parameter measuring some desired property, express it as a regular statistical functional, and investigate the sampling properties of the corresponding U-statistic that estimates it.