Statistical Analysis Of Circular Data

Author : N. I. Fisher
Publisher : Cambridge University Press
ISBN 13 : 9780521568906
Total Pages : 300 pages
Book Rating : 4.00/5 ( download)

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Download or read book Statistical Analysis of Circular Data written by N. I. Fisher and published by Cambridge University Press. This book was released on 1995-10-12 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified, up-to-date account of circular data-handling techniques, useful throughout science.

Author : Arthur Pewsey
Publisher : OUP Oxford
ISBN 13 : 0191650765
Total Pages : 192 pages
Book Rating : 4.65/5 ( download)

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Download or read book Circular Statistics in R written by Arthur Pewsey and published by OUP Oxford. This book was released on 2013-09-26 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Arthur Pewsey
Publisher : Oxford University Press
ISBN 13 : 0199671133
Total Pages : 198 pages
Book Rating : 4.37/5 ( download)

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Download or read book Circular Statistics in R written by Arthur Pewsey and published by Oxford University Press. This book was released on 2013-09-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : S. Rao Jammalamadaka
Publisher : World Scientific
ISBN 13 : 9789812779267
Total Pages : 348 pages
Book Rating : 4.64/5 ( download)

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Download or read book Topics in Circular Statistics written by S. Rao Jammalamadaka and published by World Scientific. This book was released on 2001 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner. Contents: Circular Probability Distributions; Some Sampling Distributions; Estimation of Parameters; Tests for Mean Direction and Concentration; Tests for Uniformity; Nonparametric Testing Procedures; Circular Correlation and Regression; Predictive Inference for Directional Data; Outliers and Related Problems; Change-Point Problems; Miscellaneous Topics; Some Facts on Bessel Functions; How to Use the CircStats Package. Readership: Researchers and practitioners dealing with circular data.

Author : Kanti V. Mardia
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.94/5 ( download)

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Download or read book Directional Statistics written by Kanti V. Mardia and published by John Wiley & Sons. This book was released on 2000 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Irene L. Hudson
Publisher : Springer Science & Business Media
ISBN 13 : 9048133351
Total Pages : 525 pages
Book Rating : 4.52/5 ( download)

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Download or read book Phenological Research written by Irene L. Hudson and published by Springer Science & Business Media. This book was released on 2009-11-24 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: As climate change continues to dominate the international environmental agenda, phenology – the study of the timing of recurring biological events – has received increasing research attention, leading to an emerging consensus that phenology can be viewed as an ‘early warning system’ for climate change impact. A multidisciplinary science involving many branches of ecology, geography and remote sensing, phenology to date has lacked a coherent methodological text. This new synthesis, including contributions from many of the world’s leading phenologists, therefore fills a critical gap in the current biological literature. Providing critiques of current methods, as well as detailing novel and emerging methodologies, the book, with its extensive suite of references, provides readers with an understanding of both the theoretical basis and the potential applications required to adopt and adapt new analytical and design methods. An invaluable source book for researchers and students in ecology and climate change science, the book also provides a useful reference for practitioners in a range of sectors, including human health, fisheries, forestry, agriculture and natural resource management.

Author : Nikolai Chernov
Publisher : CRC Press
ISBN 13 : 1439835918
Total Pages : 285 pages
Book Rating : 4.13/5 ( download)

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Download or read book Circular and Linear Regression written by Nikolai Chernov and published by CRC Press. This book was released on 2010-06-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find the right algorithm for your image processing applicationExploring the recent achievements that have occurred since the mid-1990s, Circular and Linear Regression: Fitting Circles and Lines by Least Squares explains how to use modern algorithms to fit geometric contours (circles and circular arcs) to observed data in image processing and comput

Author : S. Rao Jammaladak
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.90/5 ( download)

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Download or read book Topics in Circular Statistics written by S. Rao Jammaladak and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner.

Author : Matteo Grigoletto
Publisher : Springer Science & Business Media
ISBN 13 : 884702871X
Total Pages : 228 pages
Book Rating : 4.15/5 ( download)

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Download or read book Complex Models and Computational Methods in Statistics written by Matteo Grigoletto and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computational methods in statistics to face complex problems and highly dimensional data, as well as the widespread availability of computer technology, is no news. The range of applications, instead, is unprecedented. As often occurs, new and complex data types require new strategies, demanding for the development of novel statistical methods and suggesting stimulating mathematical problems. This book is addressed to researchers working at the forefront of the statistical analysis of complex systems and using computationally intensive statistical methods.

Author : S Rao Jammalamadaka
Publisher : World Scientific
ISBN 13 : 9814495247
Total Pages : 336 pages
Book Rating : 4.40/5 ( download)

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Download or read book Topics In Circular Statistics-vol 5 written by S Rao Jammalamadaka and published by World Scientific. This book was released on 2001-04-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner.