ぱらぱらめくる『Directional Statistics』

Directional Statistics (Wiley Series in Probability and Statistics)

Directional Statistics (Wiley Series in Probability and Statistics)

install.packages("circular")
library(circular)
  • 目次
  • 1 Circular Data
  • 2 Summary Statistics
  • 3 Basic Concepts and Models
  • 4 Fundamental Theorems and Distribution Theory
  • 5 Point Estimation
  • 6 Tests of Uniformity and Tests of Goodness-of-Fit
  • 7 Tests on von Mises Distributions
  • 8 Non-parametric Methods
  • 9 Distributions on Spheres
  • 10 Inference on Spheres
  • 11 Correlation and Regression
  • 12 Modern Methodology
  • 13 General Sample Spaces
  • 14 Shape Analysis
  • 細目次
  • 1 Circular Data
    • Introduction
    • Diagrammatical representation
    • Forms of frequency distributions
    • Further examples of directional data
  • 2 Summary Statistics
    • Introduction
    • Measures of location
    • Measures of concentration and dispersion
    • Trigonometric moments
    • Corerctions for grouping
  • 3 Basic Concepts and Models
    • Introduction
    • The distribution function
    • The characteristic function
    • Moments and measures of location and dispersion
    • Circular models
    • Multiply-wrapped distributions
    • Distributions on the torus and the cylinder
  • 4 Fundamental Theorems and Distribution Theory
    • Introduction
    • Properties of characteristic functions
    • Limit theorems
    • The distributions of \bar{\theta} and \bar{R} from the uniform distribution
    • Distribution of C, S and R for A von Mises population
    • Distributions related to the multi-sample problem for non Mises Populations
    • Moments of \bar{R}
    • Limiting distributions of circular statistics
  • 5 Point Estimation
    • Introduction
    • Unbiased estimators and a Cramer-Rao bound
    • von Mises distributions
    • Wrapped cauchy distributions
    • Mixtures of von Mises distributions
  • 6 Tests of Uniformity and Tests of Goodness-of-Fit
    • Introduction
    • Graphical assessment of uniformity
    • Tests of uniformity
    • Tests of goodness-of-fit
  • 7 Tests on von Mises Distributions
    • Introduction
    • Single-sample tests
    • Two-sample tests
    • Multi-sample tests
    • Testing von Misesness
  • 8 Non-parametric Methods
    • Introduction
    • Tests of symmetry
    • Two-sample tests
    • Multi-sample tests
  • 9 Distributions on Spheres
    • Spherical data
    • Descriptive measures
    • Models for spherical data
    • Models for axial data
    • Distribution theory
    • Moments and limiting distributions
  • 10 Inference on Spheres
    • Introduction
    • Exploratory adta analysis
    • Point estimation
    • Single-sample tests
    • Two-sample tests
    • Multi-sample tests
    • Tests on axial distributions
    • A general framework for testing uniformity
  • 11 Correlation and Regression
    • Introduction
    • Measures of correlation
    • Regression models
    • Bivariate models
    • Directional time series
  • 12 Modern Methodology
    • Introduction
    • Outliers
    • Goodness-of-fit
    • Robust methods
    • Bootstrap methods
    • Density estimation
    • Bayesian methods
    • Curve fitting and smoothing
    • Other methods
  • 13 General Sample Spaces
    • Introduction
    • Frames and rotations
    • Subspaces
    • Other sample spaces
  • 14 Shape Analysis
    • Introduction
    • Mean shape and variation
    • Shape coordinate systems and uniform distributions
    • A test of uniformity
    • Shape distributions
    • Complex bingham distributions
    • Complex watson distributions
    • The complex angular gaussian model
    • A rotationality symmetric shape family
    • Shapes in higher dimensions