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Angular Statistics
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Book Synopsis Statistics of Directional Data by : K. V. Mardia
Download or read book Statistics of Directional Data written by K. V. Mardia and published by Academic Press. This book was released on 2014-07-03 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Angular Statistics by : A V Dattatreya Rao
Download or read book Angular Statistics written by A V Dattatreya Rao and published by CRC Press. This book was released on 2019-12-20 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Directional data arise in the form of circular / semicircular / axial, symmetric / asymmetric, uni / bimodal data, in practical situations of varied fields. For the purpose of modeling such kind of data sets, the data scientists found that existing models as inadequate. As there is paucity of angular models, and to fill the gap, this book is designed at constructing new angular models with the existing techniques and to develop new tools of constructing angular models with an application to control charts in angular models. This book is planned to cover the following topics in nine chapters Wrapped, stereographic and offset circular models Construction of angular models using Rising Sun function, positive definite sequences, discretization and through differential approach Extemporaneous Semicircular / arc and asymmetric l – axial models Choice of angular models as an inferential aspect and construction of control charts for angular data as an application are presented. This graduate level book will be useful for data scientists, researchers and research students of Statistics and allied fields.
Book Synopsis Practical Statistics for Astronomers by : J. V. Wall
Download or read book Practical Statistics for Astronomers written by J. V. Wall and published by Cambridge University Press. This book was released on 2012-04-26 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Astronomy needs statistical methods to interpret data, but statistics is a many-faceted subject that is difficult for non-specialists to access. This handbook helps astronomers analyze the complex data and models of modern astronomy. This second edition has been revised to feature many more examples using Monte Carlo simulations, and now also includes Bayesian inference, Bayes factors and Markov chain Monte Carlo integration. Chapters cover basic probability, correlation analysis, hypothesis testing, Bayesian modelling, time series analysis, luminosity functions and clustering. Exercises at the end of each chapter guide readers through the techniques and tests necessary for most observational investigations. The data tables, solutions to problems, and other resources are available online at www.cambridge.org/9780521732499. Bringing together the most relevant statistical and probabilistic techniques for use in observational astronomy, this handbook is a practical manual for advanced undergraduate and graduate students and professional astronomers.
Book Synopsis Statistical Analysis of Circular Data by : N. I. Fisher
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.
Book Synopsis Geometry Driven Statistics by : Ian L. Dryden
Download or read book Geometry Driven Statistics written by Ian L. Dryden and published by John Wiley & Sons. This book was released on 2015-09-03 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V. Mardia This volume celebrates Kanti V. Mardia's long and influential career in statistics. A common theme unifying much of Mardia’s work is the importance of geometry in statistics, and to highlight the areas emphasized in his research this book brings together 16 contributions from high-profile researchers in the field. Geometry Driven Statistics covers a wide range of application areas including directional data, shape analysis, spatial data, climate science, fingerprints, image analysis, computer vision and bioinformatics. The book will appeal to statisticians and others with an interest in data motivated by geometric considerations. Summarizing the state of the art, examining some new developments and presenting a vision for the future, Geometry Driven Statistics will enable the reader to broaden knowledge of important research areas in statistics and gain a new appreciation of the work and influence of Kanti V. Mardia.
Book Synopsis Directional Statistics by : Kanti V. Mardia
Download or read book Directional Statistics written by Kanti V. Mardia and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents new and up-dated material on both the underlying theory and the practical methodology of directional statistics, helping the reader to utilise and develop the techniques appropriate to their work. The book is divided into three parts. The first part concentrates on statistics on the circle. Topics covered include tests of uniformity, tests of good-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. Written by leading authors in the field, 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.
Book Synopsis Directional Statistics for Innovative Applications by : Ashis SenGupta
Download or read book Directional Statistics for Innovative Applications written by Ashis SenGupta and published by Springer Nature. This book was released on 2022-06-15 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: In commemoration of the bicentennial of the birth of the “lady who gave the rose diagram to us”, this special contributed book pays a statistical tribute to Florence Nightingale. This book presents recent phenomenal developments, both in rigorous theory as well as in emerging methods, for applications in directional statistics, in 25 chapters with contributions from 65 renowned researchers from 25 countries. With the advent of modern techniques in statistical paradigms and statistical machine learning, directional statistics has become an indispensable tool. Ranging from data on circles to that on the spheres, tori and cylinders, this book includes solutions to problems on exploratory data analysis, probability distributions on manifolds, maximum entropy, directional regression analysis, spatio-directional time series, optimal inference, simulation, statistical machine learning with big data, and more, with their innovative applications to emerging real-life problems in astro-statistics, bioinformatics, crystallography, optimal transport, statistical process control, and so on.
Book Synopsis Statistical Methods for Geography by : Peter A Rogerson
Download or read book Statistical Methods for Geography written by Peter A Rogerson and published by SAGE Publications. This book was released on 2010-02-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third Edition of this bestselling student favorite has again been revised and updated to provide an expert introduction to the principal methods and techniques needed to understand a statistics module. Features new to this edition include: further introductory material; updated exercises and illustrative examples; updated downloadable datasets Statistical Methods is required reading for undergraduate modules in statistical analysis, statistical methods, and quantitative geography.
Book Synopsis Statistical Physics by : Gregory H. Wannier
Download or read book Statistical Physics written by Gregory H. Wannier and published by Courier Corporation. This book was released on 2012-08-09 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.
Book Synopsis Circular Statistics in R by : Arthur Pewsey
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 248 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.
Book Synopsis Technical Report - Jet Propulsion Laboratory, California Institute of Technology by : Jet Propulsion Laboratory (U.S.)
Download or read book Technical Report - Jet Propulsion Laboratory, California Institute of Technology written by Jet Propulsion Laboratory (U.S.) and published by . This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Models and Measures in Measurements and Monitoring by : Vitaliy P. Babak
Download or read book Models and Measures in Measurements and Monitoring written by Vitaliy P. Babak and published by Springer Nature. This book was released on 2021-04-19 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines modern methods of creating models and measures in measurements, physical and probabilistic measures, models, spaces and bases of signals and fields, deterministic and probabilistic models and measures of angular quantities. Examples of their use on a circle and in phase measurements are given; models and measures for diagnostics in the electric power industry, in standardless measurements of the characteristics of composite materials, in environmental pollution monitoring systems, also with using unmanned aerial vehicles, are considered. Most of the presented results were obtained on the basis of the Institute of Engineering Thermophysics of National Academy of Sciences of Ukraine. The book is intended for researchers, engineers, as well as lecturers, graduate students and students of higher educational institutions dealing with the problems of measurements, monitoring and diagnostics of complex technical objects.
Book Synopsis Advances in Imaging and Electron Physics by : Peter W. Hawkes
Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Elsevier. This book was released on 2003-12-02 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects reviewed in the 'Advances' series cover a broad range of themes including microscopy, electromagnetic fields and image coding. Volume 128 concentrates on regularization, a vital aspect of restoration on low voltage scanning electron microscopy.This Book looks at theory and it's application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and applying them to realistic practical situationsThe text bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes this book essential reading.·Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics·Presents theory and it's application in a practical sense, providing long awaited solutions and new findings·Bridges the gap between academic researchers and practitioners in industry
Author :Phillip James Edwin Peebles Publisher :Princeton University Press ISBN 13 :9780691019338 Total Pages :742 pages Book Rating :4.0/5 (193 download)
Book Synopsis Principles of Physical Cosmology by : Phillip James Edwin Peebles
Download or read book Principles of Physical Cosmology written by Phillip James Edwin Peebles and published by Princeton University Press. This book was released on 1993-05-09 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the work presents the elements of physical cosmology, including the history of the discovery of the expanding universe. The second part, on the cosmological tests that measure the geometry of spacetime, discusses general relativity theory as the basis for the tests, and then surveys the broad variety of ways the tests can be applied with the new generations of telescopes and detectors. The third part deals with the origin of galaxies and the large-scale structure of the universe, and reviews ideas about how the evolution of the universe might be traced back to very early epochs when structure originated. Each chapter begins with an introduction that can be understood with no special knowledge beyond undergraduate physics, and then progresses to more specialized topics.
Download or read book Statistical Physics written by L D Landau and published by Elsevier. This book was released on 2013-10-22 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory.
Book Synopsis Statistical Detection and Surveillance of Geographic Clusters by : Peter Rogerson
Download or read book Statistical Detection and Surveillance of Geographic Clusters written by Peter Rogerson and published by CRC Press. This book was released on 2008-12-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The widespread popularity of geographic information systems (GIS) has led to new insights in countless areas of application. It has facilitated not only the collection and storage of geographic data, but also the display of such data. Building on this progress by using an integrated approach, Statistical Detection and Monitoring of Geographic Clust
Book Synopsis Statistical Physics by : Franz Mandl
Download or read book Statistical Physics written by Franz Mandl and published by John Wiley & Sons. This book was released on 2013-06-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Manchester Physics Series General Editors: D. J. Sandiford; F. Mandl; A. C. Phillips Department of Physics and Astronomy, University of Manchester Properties of Matter B. H. Flowers and E. Mendoza Optics Second Edition F. G. Smith and J. H. Thomson Statistical Physics Second Edition E. Mandl Electromagnetism Second Edition I. S. Grant and W. R. Phillips Statistics R. J. Barlow Solid State Physics Second Edition J. R. Hook and H. E. Hall Quantum Mechanics F. Mandl Particle Physics Second Edition B. R. Martin and G. Shaw The Physics of Stars Second Edition A. C. Phillips Computing for Scientists R. J. Barlow and A. R. Barnett Statistical Physics, Second Edition develops a unified treatment of statistical mechanics and thermodynamics, which emphasises the statistical nature of the laws of thermodynamics and the atomic nature of matter. Prominence is given to the Gibbs distribution, leading to a simple treatment of quantum statistics and of chemical reactions. Undergraduate students of physics and related sciences will find this a stimulating account of the basic physics and its applications. Only an elementary knowledge of kinetic theory and atomic physics, as well as the rudiments of quantum theory, are presupposed for an understanding of this book. Statistical Physics, Second Edition features: A fully integrated treatment of thermodynamics and statistical mechanics. A flow diagram allowing topics to be studied in different orders or omitted altogether. Optional "starred" and highlighted sections containing more advanced and specialised material for the more ambitious reader. Sets of problems at the end of each chapter to help student understanding. Hints for solving the problems are given in an Appendix.
