Statistics of Directional Data (Probability and mathematical statistics)

Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Statistics of Directional Data aims to provide a systematic account of statistical theory and methodology for observations which are directions. The publication first elaborates on angular data and frequency distributions, descriptive measures, and basic concepts and theoretical models. Discussions focus on moments and measures of location and dispersion, distribution function, corrections for grouping, calculation of the mean direction and the circular variance, interrelations between different units of angular measurement, and diagrammatical representation. The book then examines fundamental theorems and distribution theory, point estimation, and tests for samples from von Mises populations. The text takes a look at non-parametric tests, distributions on spheres, and inference problems on the sphere. Topics include tests for axial data, point estimation, distribution theory, moments and limiting distributions, and tests of goodness of fit and tests of uniformity. The publication is a dependable reference for researchers interested in probability and mathematical statistics. Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v PREFACE, Pages vii-x ACKNOWLEDGEMENTS, Page xi INTRODUCTION, Pages xvii-xx 1 - ANGULAR DATA AND FREQUENCY DISTRIBUTIONS, Pages 1-17 2 - DESCRIPTIVE MEASURES, Pages 18-38 3 - BASIC CONCEPTS AND THEORETICAL MODELS, Pages 39-79 4 - FUNDAMENTAL THEOREMS AND DISTRIBUTION THEORY, Pages 80-117 5 - POINT ESTIMATION, Pages 118-130 6 - TESTS FOR SAMPLES FROM VON MISES POPULATIONS, Pages 131-170 7 - NON-PARAMETRIC TESTS, Pages 171-211 8 - DISTRIBUTIONS ON SPHERES, Pages 212-248 9 - INFERENCE PROBLEMS ON THE SPHERE, Pages 249-283 APPENDIX 1 - Bessel functions, Pages 287-288 APPENDIX 2 - Tables and Charts for the Circular Case, Pages 289-317 APPENDIX 3 - Tables and Charts for the Spherical Case, Pages 319-330 BIBLIOGRAPHY AND AUTHOR INDEX, Pages 331-339 SUBJECT INDEX, Pages 340-355 INDEX OF NOTATION, Pages 356-357 Probability and Mathematical Statistics: A Series of Monographs and Textbooks, Pages ibc1-ibc2 [by] K. V. Mardia. Bibliography: P. 331-339.