Introduction To Geometric Probability PDF Download
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| Author | : Daniel A. Klain |
| Publisher | : Cambridge University Press |
| Total Pages | : 196 |
| Release | : 1997-12-11 |
| Genre | : Mathematics |
| ISBN | : 9780521596541 |
Download Introduction to Geometric Probability Book in PDF, ePub and Kindle
The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.
| Author | : A.M. Mathai |
| Publisher | : CRC Press |
| Total Pages | : 580 |
| Release | : 1999-12-01 |
| Genre | : Mathematics |
| ISBN | : 9789056996819 |
Download An Introduction to Geometrical Probability Book in PDF, ePub and Kindle
A useful guide for researchers and professionals, graduate and senior undergraduate students, this book provides an in-depth look at applied and geometrical probability with an emphasis on statistical distributions. A meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience including applied researchers who will find the book to be both functional and practical with the large number of problems chosen from different disciplines A few topics such as packing and covering problems that have a vast literature are introduced here at a peripheral level for the purpose of familiarizing readers who are new to the area of research.
| Author | : David F. Anderson |
| Publisher | : Cambridge University Press |
| Total Pages | : 447 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 110824498X |
Download Introduction to Probability Book in PDF, ePub and Kindle
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
| Author | : Ovidiu Calin |
| Publisher | : Springer |
| Total Pages | : 389 |
| Release | : 2014-07-17 |
| Genre | : Mathematics |
| ISBN | : 3319077791 |
Download Geometric Modeling in Probability and Statistics Book in PDF, ePub and Kindle
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.
| Author | : David Patrick |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2007-08 |
| Genre | : Counting |
| ISBN | : 9781934124109 |
Download Introduction to Counting and Probability Book in PDF, ePub and Kindle
| Author | : Roman Vershynin |
| Publisher | : Cambridge University Press |
| Total Pages | : 299 |
| Release | : 2018-09-27 |
| Genre | : Business & Economics |
| ISBN | : 1108415199 |
Download High-Dimensional Probability Book in PDF, ePub and Kindle
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
| Author | : V.V. Buldygin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 322 |
| Release | : 2000-08-31 |
| Genre | : Mathematics |
| ISBN | : 9780792364139 |
Download Geometric Aspects of Probability Theory and Mathematical Statistics Book in PDF, ePub and Kindle
This book demonstrates the usefulness of geometric methods in probability theory and mathematical statistics, and shows close relationships between these disciplines and convex analysis. Deep facts and statements from the theory of convex sets are discussed with their applications to various questions arising in probability theory, mathematical statistics, and the theory of stochastic processes. The book is essentially self-contained, and the presentation of material is thorough in detail. Audience: The topics considered in the book are accessible to a wide audience of mathematicians, and graduate and postgraduate students, whose interests lie in probability theory and convex geometry.
| Author | : Dimitri Bertsekas |
| Publisher | : Athena Scientific |
| Total Pages | : 544 |
| Release | : 2008-07-01 |
| Genre | : Mathematics |
| ISBN | : 188652923X |
Download Introduction to Probability Book in PDF, ePub and Kindle
An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.
| Author | : Alexander Holmes |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2023-06-30 |
| Genre | : |
| ISBN | : 9781998109487 |
Download Introductory Business Statistics (paperback, B&w) Book in PDF, ePub and Kindle
Printed in b&w. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.
| Author | : Herbert Solomon |
| Publisher | : SIAM |
| Total Pages | : 180 |
| Release | : 1978-06-01 |
| Genre | : Mathematics |
| ISBN | : 0898710251 |
Download Geometric Probability Book in PDF, ePub and Kindle
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.
