Topics in circular statistics / S. Rao Jammalamadaka, A. SenGupta.

Format:

Book

Author/Creator:

Jammalamadaka, S. Rao.

Contributor:

Sengupta, Ambar, 1963-

Series:

Series on multivariate analysis ; 5.

Series on multivariate analysis ; 5

Language:

English

Subjects (All):

Circular data.

Mathematical statistics.

Physical Description:

1 online resource (336 p.)

Edition:

1st ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2001.

Language Note:

English

Summary:

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. <br><i>Contents:</i><ul><li>Circular Probab

Contents:

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

8.2 A Circular Correlation Measure pc

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [295]-309) and indexes.

ISBN:

9786611938017

9781281938015

1281938017

9789812779267

9812779264

OCLC:

879023814