LEADER 05175nam 2200673Ia 450 001 9910782276203321 005 20230607222156.0 010 $a1-281-93801-7 010 $a9786611938017 010 $a981-277-926-4 035 $a(CKB)1000000000538126 035 $a(EBL)1679584 035 $a(OCoLC)879023814 035 $a(SSID)ssj0000260161 035 $a(PQKBManifestationID)11212391 035 $a(PQKBTitleCode)TC0000260161 035 $a(PQKBWorkID)10192357 035 $a(PQKB)11458039 035 $a(MiAaPQ)EBC1679584 035 $a(WSP)00004031 035 $a(Au-PeEL)EBL1679584 035 $a(CaPaEBR)ebr10255767 035 $a(CaONFJC)MIL193801 035 $a(EXLCZ)991000000000538126 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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