Geometric Modeling In Probability And Statistics
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Geometric Modeling In Probability And Statistics
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Author : Ovidiu Calin
language : en
Publisher: Springer
Release Date : 2014-07-17
Geometric Modeling In Probability And Statistics written by Ovidiu Calin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-17 with Mathematics categories.
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.
Geometric Modeling In Probability And Statistics
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Author : Ovidiu Calin
language : en
Publisher: Springer
Release Date : 2014-08-01
Geometric Modeling In Probability And Statistics written by Ovidiu Calin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Mathematics categories.
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.
Statistics And Analysis Of Shapes
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Author : Hamid Krim
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31
Statistics And Analysis Of Shapes written by Hamid Krim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.
The subject of pattern analysis and recognition pervades many aspects of our daily lives, including user authentication in banking, object retrieval from databases in the consumer sector, and the omnipresent surveillance and security measures around sensitive areas. Shape analysis, a fundamental building block in many approaches to these applications, is also used in statistics, biomedical applications (Magnetic Resonance Imaging), and many other related disciplines. With contributions from some of the leading experts and pioneers in the field, this self-contained, unified volume is the first comprehensive treatment of theory, methods, and algorithms available in a single resource. Developments are discussed from a rapidly increasing number of research papers in diverse fields, including the mathematical and physical sciences, engineering, and medicine.
Geometry Driven Statistics
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Author : Ian L. Dryden
language : en
Publisher: John Wiley & Sons
Release Date : 2015-09-03
Geometry Driven Statistics written by Ian L. Dryden and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-03 with Mathematics categories.
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.
Probability Models
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Author : Patrick W. Hopfensperfer
language : en
Publisher:
Release Date : 1999
Probability Models written by Patrick W. Hopfensperfer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Algebra categories.
Statistical Methods
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Author : David J. Saville
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-06-20
Statistical Methods written by David J. Saville and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-20 with Mathematics categories.
"[Suitable for] general interest readers as well as university students in their first or second year ... linear or vector geometry students who desire the illumination provided by a concrete application of the theory"--Page [1].
Geometric Probability
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Author : Herbert Solomon
language : en
Publisher: SIAM
Release Date : 1978-06-01
Geometric Probability written by Herbert Solomon and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-06-01 with Mathematics categories.
Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; and much more.
Applied Stochastic Modelling
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Author : Byron J.T. Morgan
language : en
Publisher: CRC Press
Release Date : 2008-12-02
Applied Stochastic Modelling written by Byron J.T. Morgan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-02 with Mathematics categories.
Highlighting modern computational methods, Applied Stochastic Modelling, Second Edition provides students with the practical experience of scientific computing in applied statistics through a range of interesting real-world applications. It also successfully revises standard probability and statistical theory. Along with an updated bibliography and
Stochastic Geometry
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Author : Wilfrid S. Kendall
language : en
Publisher: Routledge
Release Date : 2019-06-10
Stochastic Geometry written by Wilfrid S. Kendall and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Mathematics categories.
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 themes o considerations of geometric sampling bias issues o tesselations o shape o random sets o image analysis o spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo
Stochastic Geometry And Its Applications
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Author : Dietrich Stoyan
language : en
Publisher: Wiley-Blackwell
Release Date : 1995
Stochastic Geometry And Its Applications written by Dietrich Stoyan and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The exposition is mathematically precise and takes into account the latest results. However, in many cases proofs are omitted. Applied scientists who may not wish to follow the mathematical arguments in detail will still be able to interpret and use the formulae.