[PDF] Resmdd 2000 F2k eBook

Author : Kanti V. Mardia
Publisher : John Wiley & Sons
Page : 472 pages
File Size : 40,54 MB
Release : 2000
Category : Mathematics
ISBN :

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Observations which are directions, axes or rotations occur in many sciences, including astronomy, biology, earth sciences, image analysis, and medicine. To analyse such data it is necessary to use the techniques of directional statistics, in which the special structure of circles, spheres and rotation groups is taken into account. This book gives a unified and comprehensive account of directional statistics, presenting both the underlying statistical theory and the practical methodology. The book is divided into three parts. The first part concentrates on statistics on the circle. Topics covered include tests of uniformity, tests of goodness-of-fit, inference on von Mises distributions and non-parametric methods. The second part considers statistics on spheres of arbitrary dimension, and includes a detailed account of inference on the main distributions on spheres. Recent material on correlation, regression, time series, robust techniques, bootstrap methods, density estimation and curve fitting is presented. The third part considers statistics on more general sample spaces, in particular rotation groups, Stiefel manifolds, Grassmann manifolds and complex projective spaces. Shape analysis is considered from the perspective of directional statistics. This text will be invaluable not only to researchers in probability and statistics interested in the latest developments in directional statistics, but also to practitioners and researchers in many scientific fields, including astronomy, biology, computer vision, earth sciences and image analysis.

Author : K. V. Mardia
Publisher : Academic Press
Page : 380 pages
File Size : 10,59 MB
Release : 2014-07-03
Category : Mathematics
ISBN : 148321866X

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Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Statistics of Directional Data aims to provide a systematic account of statistical theory and methodology for observations which are directions. The publication first elaborates on angular data and frequency distributions, descriptive measures, and basic concepts and theoretical models. Discussions focus on moments and measures of location and dispersion, distribution function, corrections for grouping, calculation of the mean direction and the circular variance, interrelations between different units of angular measurement, and diagrammatical representation. The book then examines fundamental theorems and distribution theory, point estimation, and tests for samples from von Mises populations. The text takes a look at non-parametric tests, distributions on spheres, and inference problems on the sphere. Topics include tests for axial data, point estimation, distribution theory, moments and limiting distributions, and tests of goodness of fit and tests of uniformity. The publication is a dependable reference for researchers interested in probability and mathematical statistics.

Author : John S. Columbia
Publisher : iUniverse
Page : 182 pages
File Size : 47,77 MB
Release : 2009-12
Category : Humor
ISBN : 1440171750

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The line began forming after eight o'clock. Sal, short and heavy-set, kept everyone busy. Neat, in a white shirt and sports jacket, with his grey fedora cocked to the side, his crooked grin made you smile. Without warning the heavy door would swing open and the waiters would come outside to join him. They were dressed in pajamas or prison garb, with hats and horns, and were there to warm up the crowd. Some in line expected this, others were shocked. The pink polka dot building should have been a warning. Complete strangers in line became chummy, exchanging stories they had heard; toilet seat covers to serve drinks on, microphones in the ladies room, toilet paper for napkins. Most had brought their friends there to be roasted. The line of people varied in age. They all dressed casually because they'd heard you could get a pie in the face or a squirt in the eye. The club's routines were blue in color, but harmless. If you were lucky you might see a "Balls for the Queen" or a "Singing beer." The price was always right for a good time and Warm Beer and Lousy Food was the place to be.