Topics in Circular Statistics-Vol 5.

Topics in Circular Statistics-Vol 5.

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 c...

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Bibliographic Details
Main Author: Jammalamadaka, S. Rao
Other Authors: Sengupta, Ashis
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2001.
Series:Series on multivariate analysis.
Subjects:
Circular data.
Mathematical statistics.
Circular data
Mathematical statistics
Online Access:Click for online access
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.

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