Topics in Circular Statistics-Vol 5.

✍ Scribed by Jammalamadaka, S. Rao; Sengupta, Ashis

• Publisher: World Scientific Publishing Company
• Year: 2001
• Tongue: English
• Leaves: 336
• Series: Series on multivariate analysis.
• Category: Library

✦ Synopsis

This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner. Contents: Circular Probability Distributions.  Read more...

✦ Table of Contents

Preface
1 Introduction
1.1 Introduction
1.2 Applications and Background
1.3 Descriptive Statistics
2 Circular Probability Distributions
2.1 Introduction
2.2 Circular Distributions
2.3 Bivariate Circular Distributions. 2.4 Generation of Circular Random Variables 2.5 Appendix: Curved Exponential Families and CND
3 Some Sampling Distributions
3.1 Introduction
3.2 Generalized Pearson's Random Walk Problem
3.3 Sampling Distributions for CN Distribution
3.4 Some Large Sample Results. 3.5 Two or More Samples 3.6 Approximate Distributions for Large K
4 Estimation of Parameters
4.1 Introduction
4.2 CN Distribution
4.3 CN Mixtures
4.4 ML Estimation for the WC Distribution
4.5 Circular Beta Distribution
4.6 WS Family
4.7 Confidence Intervals. 4.8 Appendix: Proofs 5 Tests for Mean Direction and Concentration
5.1 Introduction
5.2 Single Population
5.3 Two or More Populations
6 Tests for Uniformity
6.1 Introduction
6.2 Uniformity against WS Alternatives
6.3 Uniformity versus WSM Alternatives. 6.4 LMP Invariant Test for Unknown u 6.5 Appendix: Proofs
7 Nonparametric Testing Procedures
7.1 Introduction
7.2 One-Sample Problem and Goodness-of-fit
7.3 Two-Sample Problems
7.4 Multi-Sample Tests
8 Circular Correlation and Regression
8.1 Introduction.

✦ Subjects

Circular data;Mathematical statistics