Computer generation of directional data.

Abstract

by Carl Ka-fai Wong.Thesis (M.Phil.)--Chinese University of Hong Kong, 1991.Includes bibliographical references.Chapter Chapter 1 --- Introduction --- p.1Chapter §1.1 --- Directional Data and Computer Simulation --- p.1Chapter §1.2 --- Computer Simulation Techniques --- p.2Chapter §1.3 --- Implementation and Preliminaries --- p.4Chapter Chapter 2 --- Generating Random Points on the N-sphere --- p.6Chapter §2.1 --- Methods --- p.6Chapter §2.2 --- Comparison of Methods --- p.10Chapter Chapter 3 --- Generating Variates from Non-uniform Distributions on the Circle --- p.14Chapter §3.1 --- Introduction --- p.14Chapter §3.2 --- Methods for Circular Distributions --- p.15Chapter Chapter 4 --- Generating Variates from Non-uniform Distributions on the Sphere --- p.28Chapter §4.1 --- Introduction --- p.28Chapter §4.2 --- Methods for Spherical Distributions --- p.29Chapter Chapter 5 --- Generating Variates from Non-uniform Distributions on the N-sphere --- p.56Chapter §5.1 --- Introduction --- p.56Chapter §5.2 --- Methods for Higher Dimensional Spherical Distributions --- p.56Chapter Chapter 6 --- Summary and Discussion --- p.69References --- p.72Appendix 1 --- p.77Appendix 2 --- p.9