Statistical Analysis of Spherical Data

Statistical Analysis of Spherical Data PDF Author: N. I. Fisher
Publisher: Cambridge University Press
ISBN: 9780521456999
Category : Mathematics
Languages : en
Pages : 358

Get Book Here

Book Description
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 Spherical Data

Statistical Analysis of Spherical Data PDF Author: N. I. Fisher
Publisher: Cambridge University Press
ISBN: 9780521456999
Category : Mathematics
Languages : en
Pages : 358

Get Book Here

Book Description
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

Statistical Analysis of Circular Data PDF Author: N. I. Fisher
Publisher: Cambridge University Press
ISBN: 9780521568906
Category : Mathematics
Languages : en
Pages : 300

Get Book Here

Book Description
A unified, up-to-date account of circular data-handling techniques, useful throughout science.

Statistical Analysis of Spherical Data

Statistical Analysis of Spherical Data PDF Author: N. I. Fisher
Publisher:
ISBN:
Category :
Languages : en
Pages : 329

Get Book Here

Book Description


Mathematical Statistics and Limit Theorems

Mathematical Statistics and Limit Theorems PDF Author: Marc Hallin
Publisher: Springer
ISBN: 3319124420
Category : Mathematics
Languages : en
Pages : 326

Get Book Here

Book Description
This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.

Circular Statistics in R

Circular Statistics in R PDF Author: Arthur Pewsey
Publisher: OUP Oxford
ISBN: 0191650765
Category : Mathematics
Languages : en
Pages : 198

Get Book Here

Book Description
Circular Statistics in R provides the most comprehensive guide to the analysis of circular data in over a decade. Circular data arise in many scientific contexts whether it be angular directions such as: observed compass directions of departure of radio-collared migratory birds from a release point; bond angles measured in different molecules; wind directions at different times of year at a wind farm; direction of stress-fractures in concrete bridge supports; longitudes of earthquake epicentres or seasonal and daily activity patterns, for example: data on the times of day at which animals are caught in a camera trap, or in 911 calls in New York, or in internet traffic; variation throughout the year in measles incidence, global energy requirements, TV viewing figures or injuries to athletes. The natural way of representing such data graphically is as points located around the circumference of a circle, hence their name. Importantly, circular variables are periodic in nature and the origin, or zero point, such as the beginning of a new year, is defined arbitrarily rather than necessarily emerging naturally from the system. This book will be of value both to those new to circular data analysis as well as those more familiar with the field. For beginners, the authors start by considering the fundamental graphical and numerical summaries used to represent circular data before introducing distributions that might be used to model them. They go on to discuss basic forms of inference such as point and interval estimation, as well as formal significance tests for hypotheses that will often be of scientific interest. When discussing model fitting, the authors advocate reduced reliance on the classical von Mises distribution; showcasing distributions that are capable of modelling features such as asymmetry and varying levels of kurtosis that are often exhibited by circular data. The use of likelihood-based and computer-intensive approaches to inference and modelling are stressed throughout the book. The R programming language is used to implement the methodology, particularly its "circular" package. Also provided are over 150 new functions for techniques not already covered within R. This concise but authoritative guide is accessible to the diverse range of scientists who have circular data to analyse and want to do so as easily and as effectively as possible.

Probability Measures on Groups IX

Probability Measures on Groups IX PDF Author: Herbert Heyer
Publisher: Springer
ISBN: 3540462066
Category : Mathematics
Languages : en
Pages : 446

Get Book Here

Book Description
The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers.

Geometric Properties for Incomplete Data

Geometric Properties for Incomplete Data PDF Author: Reinhard Klette
Publisher: Springer Science & Business Media
ISBN: 1402038585
Category : Computers
Languages : en
Pages : 394

Get Book Here

Book Description
Computer vision and image analysis require interdisciplinary collaboration between mathematics and engineering. This book addresses the area of high-accuracy measurements of length, curvature, motion parameters and other geometrical quantities from acquired image data. It is a common problem that these measurements are incomplete or noisy, such that considerable efforts are necessary to regularise the data, to fill in missing information, and to judge the accuracy and reliability of these results. This monograph brings together contributions from researchers in computer vision, engineering and mathematics who are working in this area. The book can be read both by specialists and graduate students in computer science, electrical engineering or mathematics who take an interest in data evaluations by approximation or interpolation, in particular data obtained in an image analysis context.

Statistics of Earth Science Data

Statistics of Earth Science Data PDF Author: Graham J. Borradaile
Publisher: Springer Science & Business Media
ISBN: 3662052237
Category : Technology & Engineering
Languages : en
Pages : 371

Get Book Here

Book Description
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)

Springer Handbook of Engineering Statistics

Springer Handbook of Engineering Statistics PDF Author: Hoang Pham
Publisher: Springer Nature
ISBN: 1447175034
Category : Technology & Engineering
Languages : en
Pages : 1136

Get Book Here

Book Description
In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis PDF Author: Victor Patrangenaru
Publisher: CRC Press
ISBN: 1439820511
Category : Mathematics
Languages : en
Pages : 534

Get Book Here

Book Description
A New Way of Analyzing Object Data from a Nonparametric ViewpointNonparametric 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