Statistical Analysis of Spherical DataCambridge University Press, 19 août 1993 - 329 pages This is the first comprehensive, yet clearly presented, account of statistical methods for analysing spherical data. The analysis of data, in the form of directions in space or of positions of points on a spherical surface, is required in many contexts in the earth sciences, astrophysics and other fields, yet the methodology required is disseminated throughout the literature. Statistical Analysis of Spherical Data aims to present a unified and up-to-date account of these methods for practical use. The emphasis is on applications rather than theory, with the statistical methods being illustrated throughout the book by data examples. |
Table des matières
4 | 4 |
1 | 29 |
Analysis of a single sample of unit vectors | 99 |
iii Test for a specified value of the population median | 113 |
iii Outlier test for discordancy | 125 |
v Test for a specified mean direction | 133 |
Analysis of a single sample of undirected lines | 152 |
Analysis of two or more samples of vectorial or axial data | 194 |
Correlation regression and temporalspatial analysis | 230 |
ii A test for serial association in a time series of unit axes | 243 |
Appendix A Tables and charts | 249 |
Appendix B Data sets | 278 |
| 312 | |
Autres éditions - Tout afficher
Statistical Analysis of Spherical Data N. I. Fisher,Toby Lewis,Brian J. J. Embleton Aucun aperçu disponible - 1987 |
Expressions et termes fréquents
analysis angle Appendix approximate axes axial data calculate Chapter colatitude colatitude plot computed concentration parameter confidence interval confidence region Contour plot coordinate system correlation corresponding Critical values data in Figure data set defined described direction cosines discordant eigenvalues elliptical confidence cone Equal-area projection error estimate exponential F-distribution Fisher distribution formal test function given goodness-of-fit graphical K₁ Kent distribution linear longitude plot Mardia median methods normal distribution observations obtain orientation matrix outliers palaeomagnetic percentage points permutation test plane polar axis polar coordinates pole population principal axis Probability plots problems procedure Q-Q plot random variable References and footnotes resultant length rotational symmetry rotationally symmetric sample mean direction sample quantile shown in Figure significance probability small circle sphere spherical data Suppose Table test statistic tion unimodal distribution unit vectors vectorial data von Mises distribution X₁