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100 $a20010220d2001 uy 0
101 0 $aeng
135 $aur|n|---|||||
181 $ctxt
182 $cc
183 $acr
200 10$aTopics in circular statistics$b[electronic resource] /$fS. Rao Jammalamadaka, A. SenGupta
210 $aRiver Edge, N.J. $cWorld Scientific$dc2001
215 $a1 online resource (336 p.)
225 1 $aSeries on multivariate analysis ;$v5
300 $aDescription based upon print version of record.
311 $a981-02-3778-2
320 $aIncludes bibliographical references (p. [295]-309) and indexes.
327 $aContents ; 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
327 $a2.4 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
327 $a3.5 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
327 $a4.8 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
327 $a6.4 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
327 $a8.2 A Circular Correlation Measure pc
330 $a 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.
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