Topics in Circular StatisticsThis 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. Contents: Circular Probability Distributions; Some Sampling Distributions; Estimation of Parameters; Tests for Mean Direction and Concentration; Tests for Uniformity; Nonparametric Testing Procedures; Circular Correlation and Regression; Predictive Inference for Directional Data; Outliers and Related Problems; Change-Point Problems; Miscellaneous Topics; Some Facts on Bessel Functions; How to Use the CircStats Package. Readership: Researchers and practitioners dealing with circular data. |
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Inhoudsopgave
Introduction | 1 |
Circular Probability Distributions | 25 |
Some Sampling Distributions | 65 |
Estimation of Parameters | 85 |
Tests for Mean Direction and Concentration | 107 |
Tests for Uniformity | 131 |
Nonparametric Testing Procedures | 151 |
Circular Correlation and Regression | 175 |
Outliers and Related Problems | 217 |
Changepoint Problems | 241 |
Miscellaneous Topics | 267 |
A Some Facts on Bessel Functions | 287 |
| 295 | |
| 311 | |
| 321 | |
Predictive Inference for Directional Data | 205 |
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
alternative analysis angles apply approach approximate assume asymptotic Chapter circle circular CN distribution computed concentration conditional consider consistent correlation corresponding critical values defined denote density depends derived discussed distribution equal Equation estimator exact example Figure function Further given gives Hence increasing independent integral interest invariant joint known Lemma length likelihood linear LMP test maximum mean direction measure methods Mises distribution mixture moments monotone normal distribution Note null hypothesis observations obtained optimal origin outliers parameter population predictive prior probability problem Proof properties random reject Remark represented respectively resultant rotation sample sample mean similar simulations space statistic Table test statistic Theorem tion trigonometric uniform unit unknown values variables vector wrapped zero
Populaire passages
Pagina 309 - EJ (1956). On the construction of significance tests on the circle and sphere. Biometrika 43 344-352.
Pagina 309 - On the shape of the angular case of Cauchy's distribution curves, Ann.
Pagina 304 - A Mathematical Theory of Random Migration,' Drapers' Company Research Memoirs, Biometric Series...
Pagina 305 - PROBLEMS OF ASSOCIATION FOR BIVARIATE CIRCULAR DATA AND A NEW TEST OF INDEPENDENCE Madan L.
Pagina 304 - MARDIA, KV AND SPURR, BD (1973), Multisample tests for multimodal and axial circular populations, J.
Pagina 304 - MARDIA, KV AND BUTTON, TW (1978), A model for cylindrical variables with applications, J. Roy. Statist. Soc., Ser. B, 40, 229 — 233.
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Bibliografische gegevens
| Titel | Topics in Circular Statistics Volume 5 van Series on multivariate analysis |
| Auteurs | S. Rao Jammalamadaka, Ashis Sengupta |
| Uitgever | World Scientific, 2001 |
| ISBN | 9812779264, 9789812779267 |
| Lengte | 336 pagina's |
| Citatie exporteren | BiBTeX EndNote RefMan |