- 380 pages
- English
- PDF
- Available on iOS & Android
Statistics of Directional Data
About This Book
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.
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Table of contents
- Front Cover
- Statistics of Directional Data
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Introduction
- Acknowledgements
- Chapter 1. Angular data and frequency distributions
- Chapter 2. Descriptive measures
- Chaapter 3. Basic concepts and theoretical models
- Chapter 4. Fundamental theorems and distribution theory
- Chapter 5. Point estimation
- Chapter 6. Tests for samples from von Mises populations
- Chapter 7. Non-parametric tests
- Chapter 8. Distributions on spheres
- Chapter 9. Inference problems on the sphere
- Appendix 1: Bessel functions
- Appendix 2: Tables and charts for the circular case (abridged titles)
- Appendix 3: Tables and charts for the spherical case (abridged titles)
- Bibliography and Author Index
- Subject Index
- Index of Notation