| Introduction | p. 1 |
| Introduction | p. 1 |
| Applications and Background | p. 4 |
| Descriptive Statistics | p. 9 |
| Circular Probability Distributions | p. 25 |
| Introduction | p. 25 |
| Circular Distributions | p. 33 |
| Bivariate Circular Distributions | p. 52 |
| Generation of Circular Random Variables | p. 54 |
| Appendix: Curved Exponential Families and CND | p. 56 |
| Some Sampling Distributions | p. 65 |
| Introduction | p. 65 |
| Generalized Pearson's Random Walk Problem | p. 66 |
| Sampling Distributions for CN Distribution | p. 70 |
| Some Large Sample Results | p. 73 |
| Two or More Samples | p. 80 |
| Approximate Distributions for Large [kappa] | p. 82 |
| Estimation of Parameters | p. 85 |
| Introduction | p. 85 |
| CN Distribution | p. 85 |
| CN Mixtures | p. 90 |
| ML Estimation for the WC Distribution | p. 91 |
| Circular Beta Distribution | p. 94 |
| WS Family | p. 95 |
| Confidence Intervals | p. 96 |
| Appendix: Proofs | p. 97 |
| Tests for Mean Direction and Concentration | p. 107 |
| Introduction | p. 107 |
| Single Population | p. 108 |
| Two or More Populations | p. 125 |
| Tests for Uniformity | p. 131 |
| Introduction | p. 131 |
| Uniformity against WS Alternatives | p. 132 |
| Uniformity versus WSM Alternatives | p. 136 |
| LMP Invariant Test for Unknown [mu] | p. 141 |
| Appendix: Proofs | p. 146 |
| Nonparametric Testing Procedures | p. 151 |
| Introduction | p. 151 |
| One-Sample Problem and Goodness-of-fit | p. 151 |
| Two-Sample Problems | p. 167 |
| Multi-Sample Tests | p. 171 |
| Circular Correlations and Regression | p. 175 |
| Introduction | p. 175 |
| A Circular Correlation Measure, [rho][superscript c] | p. 176 |
| Rank Correlation | p. 183 |
| Other Measures of Circular Correlation | p. 184 |
| Circular-Linear Correlation | p. 186 |
| Circular-Circular Regression | p. 187 |
| Circular-Linear Regression | p. 195 |
| Linear-Circular Regression | p. 197 |
| Testing Stochastic Independence of Circular Variables | p. 199 |
| Predictive Inference for Directional Data | p. 205 |
| Introduction | p. 205 |
| Prediction Under a von Mises Model | p. 207 |
| Generalized von Mises-type Distributions | p. 209 |
| Bayesian Predictive Density | p. 212 |
| Robustness Against Symmetric Wrapped Stable Family | p. 214 |
| HPD Computation and An Example | p. 215 |
| Outliers and Related Problems | p. 217 |
| Introduction | p. 217 |
| Diagnostic Tools | p. 218 |
| Tests for Mixtures | p. 219 |
| Slippage Problem and Outliers | p. 232 |
| Concluding Remarks | p. 239 |
| Change-point Problems | p. 241 |
| Introduction | p. 241 |
| Tests for Change in Mean Direction | p. 243 |
| Tests for Change in [mu] and /or [kappa] | p. 258 |
| An Example | p. 260 |
| Nonparametric Approaches | p. 263 |
| Other Approaches | p. 264 |
| Miscellaneous Topics | p. 267 |
| Introduction | p. 267 |
| An Entropy-based Test for the CND | p. 267 |
| Classification and Discriminant Analysis | p. 272 |
| Factorial Designs | p. 274 |
| Bayesian Analysis | p. 278 |
| Sequential Methods | p. 279 |
| Shape Analysis | p. 280 |
| Stochastic Processes and Time Series | p. 280 |
| Density Estimation | p. 282 |
| Periodic Smoothing Splines | p. 283 |
| Some Facts on Bessel Functions | p. 287 |
| How to Use the CircStats Package | p. 291 |
| Bibliography | p. 295 |
| Author Index | p. 311 |
| Subject Index | p. 315 |
| Notations and Abbreviations Index | p. 321 |
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