05172nam 2200685Ia 450 991082581970332120240404143512.01-281-93801-79786611938017981-277-926-4(CKB)1000000000538126(EBL)1679584(OCoLC)879023814(SSID)ssj0000260161(PQKBManifestationID)11212391(PQKBTitleCode)TC0000260161(PQKBWorkID)10192357(PQKB)11458039(MiAaPQ)EBC1679584(WSP)00004031(Au-PeEL)EBL1679584(CaPaEBR)ebr10255767(CaONFJC)MIL193801(EXLCZ)99100000000053812620010220d2001 uy 0engur|n|---|||||txtccrTopics in circular statistics /S. Rao Jammalamadaka, A. SenGupta1st ed.River Edge, N.J. World Scientificc20011 online resource (336 p.)Series on multivariate analysis ;5Description based upon print version of record.981-02-3778-2 Includes bibliographical references (p. [295]-309) and indexes.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 Distributions2.4 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 Results3.5 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 Intervals4.8 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 Alternatives6.4 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 Introduction8.2 A Circular Correlation Measure pc 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 ProbabSeries on multivariate analysis ;5.Circular dataMathematical statisticsCircular data.Mathematical statistics.519.5Jammalamadaka S. Rao1100253Sengupta Ambar1963-150693MiAaPQMiAaPQMiAaPQBOOK9910825819703321Topics in circular statistics4105006UNINA