statistical analysis of spherical data

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Statistical Analysis Of Spherical Data

Author : N. I. Fisher
ISBN : 0521456991
Genre : Mathematics
File Size : 88. 87 MB
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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.

Statistical Analysis Of Circular Data

Author : N. I. Fisher
ISBN : 0521568900
Genre : Mathematics
File Size : 51. 71 MB
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This book provides a unified and up-to-date account of techniques for handling circular data, and will interest all who perform data analyses.

Nonparametric Statistics On Manifolds And Their Applications To Object Data Analysis

Author : Victor Patrangenaru
ISBN : 9781439820513
Genre : Mathematics
File Size : 42. 21 MB
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A New Way of Analyzing Object Data from a Nonparametric Viewpoint Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields, including statistics, medical imaging, computer vision, pattern recognition, and bioinformatics. The book begins with a survey of illustrative examples of object data before moving to a review of concepts from mathematical statistics, differential geometry, and topology. The authors next describe theory and methods for working on various manifolds, giving a historical perspective of concepts from mathematics and statistics. They then present problems from a wide variety of areas, including diffusion tensor imaging, similarity shape analysis, directional data analysis, and projective shape analysis for machine vision. The book concludes with a discussion of current related research and graduate-level teaching topics as well as considerations related to computational statistics. Researchers in diverse fields must combine statistical methodology with concepts from projective geometry, differential geometry, and topology to analyze data objects arising from non-Euclidean object spaces. An expert-driven guide to this approach, this book covers the general nonparametric theory for analyzing data on manifolds, methods for working with specific spaces, and extensive applications to practical research problems. These problems show how object data analysis opens a formidable door to the realm of big data analysis.

Circular Statistics In R

Author : Arthur Pewsey
ISBN : 9780199671137
Genre : Mathematics
File Size : 61. 75 MB
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Measurements like mass, length and speed are "linear"; but compass direction or the time of the year are "circular". Circular data have a repeating nature and an arbitrary zero: 12 months after the 1st of July it is the 1st of July again. This book explains how to easily and effectively analyse circular data statistically.

Statistics Of Earth Science Data

Author : Graham J. Borradaile
ISBN : 9783662052235
Genre : Mathematics
File Size : 70. 91 MB
Format : PDF
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From the reviews: "All in all, Graham Borradaile has written and interesting and idiosyncratic book on statistics for geoscientists that will be welcome among students, researchers, and practitioners dealing with orientation data. That should include engineering geologists who work with things like rock fracture orientation measurements or clast alignment in paleoseismic trenches. It won’t replace the collection of statistics and geostatistics texts in my library, but it will have a place among them and will likely be one of several references to which I turn when working with orientation data.... The text is easy to follow and illustrations are generally clear and easy to read..."(William C. Haneberg, Haneberg Geoscience)

Romanian Astronomical Journal

Author :
ISBN : UOM:39015053979798
Genre : Astronomy
File Size : 57. 75 MB
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Journal Of The American Statistical Association

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ISBN : UCSD:31822036017234
Genre : Statistics
File Size : 60. 56 MB
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New Technical Books

Author : New York Public Library
ISBN : UOM:39015063566296
Genre : Engineering
File Size : 20. 31 MB
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Statistical Shape Analysis

Author : I. L. Dryden
ISBN : 0471958166
Genre : Mathematics
File Size : 68. 77 MB
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Statistical Shape Analysis involves methods for the geometrical study of random objects where location, rotation and scale information can be removed. The book lays the foundations of the subject discussing key ideas and the very latest developments, as well as offering practical guidance and comparisons of techniques. There is a vast range of applications of shape analysis and the authors introduce the field to statisticians and applied researchers through important examples and data analysis in Biology, Medicine and Image Analysis. The text primarily concentrates on landmark data key points of correspondence located on each object. Careful consideration of the similarity invariances requires methods appropriate for non-Euclidean data analysis. In particular, multivariate statistical procedures cannot be applied directly, but can be adapted in certain instances. The book begins with introductory material on shape, size and coordinate systems. Planar Procrustes analysis is then discussed to highlight the main components of shape analysis. The shape space and general Procrustes methods are introduced, probability distributions for shape are described and statistical inference is discussed. Some deformation methods for shape change are also given and a special chapter is devoted to shape in image analysis. Finally, various alternative procedures including landmark-free methods are critically discussed and compared. Definitions and important results are highlighted throughout to assist the reader in learning about this new, exciting and important area.

8th Annual Conference Of The International Association For Mathematical Geology

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ISBN : STANFORD:36105112287987
Genre :
File Size : 33. 73 MB
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