Algorithms And Data Structures

Read e-book online Statistical Analysis of Spherical Data PDF

By N. I. Fisher

ISBN-10: 0511623054

ISBN-13: 9780511623059

ISBN-10: 0521242738

ISBN-13: 9780521242738

ISBN-10: 0521456991

ISBN-13: 9780521456999

This is often the 1st complete, but basically offered, account of statistical equipment for analysing round info. The research of information, within the kind of instructions in area or of positions of issues on a round floor, is needed in lots of contexts within the earth sciences, astrophysics and different fields, but the technique required is disseminated in the course of the literature. Statistical research of round facts goals to provide a unified and up to date account of those equipment for useful use. The emphasis is on purposes instead of conception, with the statistical tools being illustrated during the booklet via info examples.

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Extra resources for Statistical Analysis of Spherical Data

Example text

Following the description in Kraus (he. 9 page 33) the systems are: 1. 4): in terms of polar coordinates, azimuth- 360° - altitude (elevation angle) = 90°- 6 2. 5); in terms of polar coordinates, Declination = 90°-6 Right Ascension = 22 2. Terminology and spherical coordinate systems 3. The ecliptic system (celestial longitude, celestial latitude) in which the plane through the Earth's orbit is taken as reference; in terms of polar coordinates, celestial longitude = celestial latitude = 9 0 ° - 0 4.

It may then be desirable to summarise each sub-group by some representative quantity, such as the mean direction of its members, and to display these summary quantities. g. Chambers et al. 1983). We use the symbols •,|, A, + , . . to denote 1, 2, 3, 4 , . . observations, or, in large samples, • might be 1-5, | 6-10,A 11-15, and so on. ) of the mean directions of the sub-groups, each representing the sample size of its sub-group. For data distributed over the whole sphere, either both hemispheres can be plotted, or sunflowers on the hidden side printed in a circle: O , ® , ® , etc.

6 from the cross-validation method. The dotted lines correspond to the lowest contours and the continuous lines to the highest. The contours were obtained by using method (a), which in this case appeared to give the best results. 8. See text. E1D 51D 46 3. Descriptive and ancillary methods; sampling problems f(x,y,z), for a suitably large number of points (x, y, z). g. Macleod (1970)). This can also be done on a plotter. (The program of Diggle and Fisher has the facility to produce a file containing a set of projected points together with density estimates, for this purpose).

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Statistical Analysis of Spherical Data by N. I. Fisher

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