Geometry Driven Statistics

Download Geometry Driven Statistics full books in PDF, epub, and Kindle. Read online Geometry Driven Statistics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Geometry Driven Statistics

Author : Ian L. Dryden
Publisher : John Wiley & Sons
ISBN 13 : 1118866576
Total Pages : 436 pages
Book Rating : 4.1/5 (188 download)

DOWNLOAD NOW!

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 2015-09-28 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.

Geometry Driven Statistics

Author : Ian L. Dryden
Publisher : John Wiley & Sons
ISBN 13 : 1118866606
Total Pages : 432 pages
Book Rating : 4.1/5 (188 download)

DOWNLOAD NOW!

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 432 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.

Geometric Modeling in Probability and Statistics

Author : Ovidiu Calin
Publisher : Springer
ISBN 13 : 3319077791
Total Pages : 375 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Geometric Modeling in Probability and Statistics by : Ovidiu Calin

Download or read book Geometric Modeling in Probability and Statistics written by Ovidiu Calin and published by Springer. This book was released on 2014-07-17 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

Differential Geometry and Statistics

Author : M.K. Murray
Publisher : Routledge
ISBN 13 : 1351455125
Total Pages : 293 pages
Book Rating : 4.3/5 (514 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometry and Statistics by : M.K. Murray

Download or read book Differential Geometry and Statistics written by M.K. Murray and published by Routledge. This book was released on 2017-10-19 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics. This book has arisen because we believe that there is a deep relationship between statistics and differential geometry and moreoever that this relationship uses parts of differential geometry, particularly its 'higher-order' aspects not readily accessible to a statistical audience from the existing literature. It is, in part, a long reply to the frequent requests we have had for references on differential geometry! While we have not gone beyond the path-breaking work of Amari and Barndorff- Nielsen in the realm of applications, our book gives some new explanations of their ideas from a first principles point of view as far as geometry is concerned. In particular it seeks to explain why geometry should enter into parametric statistics, and how the theory of asymptotic expansions involves a form of higher-order differential geometry. The first chapter of the book explores exponential families as flat geometries. Indeed the whole notion of using log-likelihoods amounts to exploiting a particular form of flat space known as an affine geometry, in which straight lines and planes make sense, but lengths and angles are absent. We use these geometric ideas to introduce the notion of the second fundamental form of a family whose vanishing characterises precisely the exponential families.

Dynamics, Statistics and Projective Geometry of Galois Fields

Author : V. I. Arnold
Publisher : Cambridge University Press
ISBN 13 : 1139493442
Total Pages : 91 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Dynamics, Statistics and Projective Geometry of Galois Fields by : V. I. Arnold

Download or read book Dynamics, Statistics and Projective Geometry of Galois Fields written by V. I. Arnold and published by Cambridge University Press. This book was released on 2010-12-02 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

Progress in Information Geometry

Author : Frank Nielsen
Publisher : Springer Nature
ISBN 13 : 3030654591
Total Pages : 274 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

Book Synopsis Progress in Information Geometry by : Frank Nielsen

Download or read book Progress in Information Geometry written by Frank Nielsen and published by Springer Nature. This book was released on 2021-03-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).

Object Oriented Data Analysis

Author : J. S. Marron
Publisher : CRC Press
ISBN 13 : 1351189662
Total Pages : 436 pages
Book Rating : 4.3/5 (511 download)

DOWNLOAD NOW!

Book Synopsis Object Oriented Data Analysis by : J. S. Marron

Download or read book Object Oriented Data Analysis written by J. S. Marron and published by CRC Press. This book was released on 2021-11-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research through new terminology for discussing the often many possible approaches to the analysis of complex data. Such data are naturally arising in a wide variety of areas. This book aims to provide ways of thinking that enable the making of sensible choices. The main points are illustrated with many real data examples, based on the authors' personal experiences, which have motivated the invention of a wide array of analytic methods. While the mathematics go far beyond the usual in statistics (including differential geometry and even topology), the book is aimed at accessibility by graduate students. There is deliberate focus on ideas over mathematical formulas. J. S. Marron is the Amos Hawley Distinguished Professor of Statistics, Professor of Biostatistics, Adjunct Professor of Computer Science, Faculty Member of the Bioinformatics and Computational Biology Curriculum and Research Member of the Lineberger Cancer Center and the Computational Medicine Program, at the University of North Carolina, Chapel Hill. Ian L. Dryden is a Professor in the Department of Mathematics and Statistics at Florida International University in Miami, has served as Head of School of Mathematical Sciences at the University of Nottingham, and is joint author of the acclaimed book Statistical Shape Analysis.

Data Depth

Author : Regina Y. Liu
Publisher : American Mathematical Soc.
ISBN 13 : 0821835963
Total Pages : 264 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Data Depth by : Regina Y. Liu

Download or read book Data Depth written by Regina Y. Liu and published by American Mathematical Soc.. This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of some of the research presented at the workshop of the same name held in May 2003 at Rutgers University. The workshop brought together researchers from two different communities: statisticians and specialists in computational geometry. The main idea unifying these two research areas turned out to be the notion of data depth, which is an important notion both in statistics and in the study of efficiency of algorithms used in computational geometry. Many of the articles in the book lay down the foundations for further collaboration and interdisciplinary research. Information for our distributors: Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

Differential Geometry and Statistics

Author : M. K. Murray
Publisher : Springer
ISBN 13 : 9781489933072
Total Pages : 272 pages
Book Rating : 4.9/5 (33 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometry and Statistics by : M. K. Murray

Download or read book Differential Geometry and Statistics written by M. K. Murray and published by Springer. This book was released on 2013-10-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics. This book has arisen because we believe that there is a deep relationship between statistics and differential geometry and moreoever that this relationship uses parts of differential geometry, particularly its 'higher-order' aspects not readily accessible to a statistical audience from the existing literature. It is, in part, a long reply to the frequent requests we have had for references on differential geometry! While we have not gone beyond the path-breaking work of Amari and Barndorff Nielsen in the realm of applications, our book gives some new explanations of their ideas from a first principles point of view as far as geometry is concerned. In particular it seeks to explain why geometry should enter into parametric statistics, and how the theory of asymptotic expansions involves a form of higher-order differential geometry. The first chapter of the book explores exponential families as flat geometries. Indeed the whole notion of using log-likelihoods amounts to exploiting a particular form of flat space known as an affine geometry, in which straight lines and planes make sense, but lengths and angles are absent. We use these geometric ideas to introduce the notion of the second fundamental form of a family whose vanishing characterises precisely the exponential families.

Algebraic Geometry and Statistical Learning Theory

Author : Sumio Watanabe
Publisher : Cambridge University Press
ISBN 13 : 0521864674
Total Pages : 295 pages
Book Rating : 4.5/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Geometry and Statistical Learning Theory by : Sumio Watanabe

Download or read book Algebraic Geometry and Statistical Learning Theory written by Sumio Watanabe and published by Cambridge University Press. This book was released on 2009-08-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.

Differential Geometry in Statistical Inference

Author : Shun'ichi Amari
Publisher : IMS
ISBN 13 : 9780940600126
Total Pages : 254 pages
Book Rating : 4.6/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometry in Statistical Inference by : Shun'ichi Amari

Download or read book Differential Geometry in Statistical Inference written by Shun'ichi Amari and published by IMS. This book was released on 1987 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Methods

Author : David J. Saville
Publisher : Springer Science & Business Media
ISBN 13 : 1461207479
Total Pages : 279 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Statistical Methods by : David J. Saville

Download or read book Statistical Methods written by David J. Saville and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present the mathematics underlying elementary statistical methods in as simple a manner as possible. These methods include independent and paired sample t-tests, analysis of variance, regression, and the analysis of covariance. The author's principle tool is the use of geometric ideas to provide more visual insight and to make the theory accessible to a wider audience than is usually possible.

Spatial Analysis

Author : John T. Kent
Publisher : John Wiley & Sons
ISBN 13 : 0471632058
Total Pages : 404 pages
Book Rating : 4.4/5 (716 download)

DOWNLOAD NOW!

Book Synopsis Spatial Analysis by : John T. Kent

Download or read book Spatial Analysis written by John T. Kent and published by John Wiley & Sons. This book was released on 2022-05-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: SPATIAL ANALYSIS Explore the foundations and latest developments in spatial statistical analysis In Spatial Analysis, two distinguished authors deliver a practical and insightful exploration of the statistical investigation of the interdependence of random variables as a function of their spatial proximity. The book expertly blends theory and application, offering numerous worked examples and exercises at the end of each chapter. Increasingly relevant to fields as diverse as epidemiology, geography, geology, image analysis, and machine learning, spatial statistics is becoming more important to a wide range of specialists and professionals. The book includes: Thorough introduction to stationary random fields, intrinsic and generalized random fields, and stochastic models Comprehensive exploration of the estimation of spatial structure Practical discussion of kriging and the spatial linear model Spatial Analysis is an invaluable resource for advanced undergraduate and postgraduate students in statistics, data science, digital imaging, geostatistics, and agriculture. It’s also an accessible reference for professionals who are required to use spatial models in their work.

Stochastic Geometry

Author : Wilfrid S. Kendall
Publisher :
ISBN 13 : 9780203738276
Total Pages : pages
Book Rating : 4.7/5 (382 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Geometry by : Wilfrid S. Kendall

Download or read book Stochastic Geometry written by Wilfrid S. Kendall and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Stochastic geometry involves the study of random geometric structures, and blends geometric, probabilistic, and statistical methods to provide powerful techniques for modeling and analysis. Recent developments in computational statistical analysis, particularly Markov chain Monte Carlo, have enormously extended the range of feasible applications. Stochastic Geometry: Likelihood and Computation provides a coordinated collection of chapters on important aspects of the rapidly developing field of stochastic geometry, including: o a "crash-course" introduction to key stochastic geometry themeso considerations of geometric sampling bias issueso tesselationso shapeo random setso image analysiso spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo"--Provided by publisher.

Functional and Shape Data Analysis

Author : Anuj Srivastava
Publisher : Springer
ISBN 13 : 1493940201
Total Pages : 447 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!

Book Synopsis Functional and Shape Data Analysis by : Anuj Srivastava

Download or read book Functional and Shape Data Analysis written by Anuj Srivastava and published by Springer. This book was released on 2016-10-03 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad range of ideas covered—from introductory theory to algorithmic implementations and some statistical case studies—is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges. Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves—in one, two, and higher dimensions—both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation.

Exploring Centers

Author : Dale Seymour Publications
Publisher : Dale Seymour Publication
ISBN 13 : 9781572322363
Total Pages : 212 pages
Book Rating : 4.3/5 (223 download)

DOWNLOAD NOW!

Book Synopsis Exploring Centers by : Dale Seymour Publications

Download or read book Exploring Centers written by Dale Seymour Publications and published by Dale Seymour Publication. This book was released on 1998-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Modeling in Probability and Statistics

Author : Ovidiu Calin
Publisher : Springer
ISBN 13 : 9783319077789
Total Pages : 375 pages
Book Rating : 4.0/5 (777 download)

DOWNLOAD NOW!

Book Synopsis Geometric Modeling in Probability and Statistics by : Ovidiu Calin

Download or read book Geometric Modeling in Probability and Statistics written by Ovidiu Calin and published by Springer. This book was released on 2014-08-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.