Statistical Analysis of Circular Data

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Release : 1995-10-12
Genre : Mathematics
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Book Rating : 906/5 ( reviews)

Statistical Analysis of Circular Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Analysis of Circular Data write by N. I. Fisher. This book was released on 1995-10-12. Statistical Analysis of Circular Data available in PDF, EPUB and Kindle. A unified, up-to-date account of circular data-handling techniques, useful throughout science.

Circular Statistics in R

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Release : 2013-09-26
Genre : Mathematics
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Book Rating : 765/5 ( reviews)

Circular Statistics in R - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Circular Statistics in R write by Arthur Pewsey. This book was released on 2013-09-26. Circular Statistics in R available in PDF, EPUB and Kindle. 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.

Topics in Circular Statistics

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Author :
Release : 2001
Genre : Mathematics
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Book Rating : 782/5 ( reviews)

Topics in Circular Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Circular Statistics write by S. Rao Jammalamadaka. This book was released on 2001. Topics in Circular Statistics available in PDF, EPUB and Kindle. 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.

Directional Statistics

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Release : 2000
Genre : Mathematics
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Book Rating : /5 ( reviews)

Directional Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Directional Statistics write by Kanti V. Mardia. This book was released on 2000. Directional Statistics available in PDF, EPUB and Kindle. 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.

Phenological Research

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Release : 2009-11-24
Genre : Science
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Book Rating : 351/5 ( reviews)

Phenological Research - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Phenological Research write by Irene L. Hudson. This book was released on 2009-11-24. Phenological Research available in PDF, EPUB and Kindle. 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.