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Author : V. V. Buldygin
Publisher :
ISBN 13 : 9789401716888
Total Pages : 316 pages
Book Rating : 4.7/5 (168 download)
Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V. V. Buldygin and published by . This book was released on 2014-01-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.V. Buldygin
Publisher : Springer Science & Business Media
ISBN 13 : 9780792364139
Total Pages : 322 pages
Book Rating : 4.3/5 (641 download)
Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2000-08-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : V.V. Buldygin
Publisher : Springer Science & Business Media
ISBN 13 : 9401716870
Total Pages : 314 pages
Book Rating : 4.4/5 (17 download)
Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued characteristics of topological spaces, the theory of set-valued (multi-valued) mappings, etc. Modern algebra is featured by the following domains: linear algebra, group theory, the theory of rings, universal algebras, lattice theory, category theory, and so on. Concerning modern probability theory, we can easily see that the clas sification of its domains is much more extensive: measure theory on ab stract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, informa tion theory and many others.
Author : Ovidiu Calin
Publisher : Springer
ISBN 13 : 3319077791
Total Pages : 389 pages
Book Rating : 4.3/5 (19 download)
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 389 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.
Author : B. Grigelionis
Publisher : de Gruyter
ISBN 13 : 9783112307892
Total Pages : 0 pages
Book Rating : 4.3/5 (78 download)
Download or read book Probability Theory and Mathematical Statistics. Vol. 2 written by B. Grigelionis and published by de Gruyter. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. Grigelionis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314190
Total Pages : 656 pages
Book Rating : 4.1/5 (123 download)
Download or read book Probability Theory and Mathematical Statistics. Vol. 1 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "GRIGELIONIS: PROCEEDINGS OF THE FIFTH VILNIUS CONFERE E-BOOK".
Author : Harald Cramér
Publisher : Krieger Publishing Company
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (54 download)
Download or read book The Elements of Probability Theory and Some of Its Applications written by Harald Cramér and published by Krieger Publishing Company. This book was released on 1973 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aram Aruti?u?novich Sveshnikov
Publisher : Courier Corporation
ISBN 13 : 9780486637174
Total Pages : 516 pages
Book Rating : 4.6/5 (371 download)
Download or read book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions written by Aram Aruti?u?novich Sveshnikov and published by Courier Corporation. This book was released on 1978-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.
Author : Daniel A. Klain
Publisher : Cambridge University Press
ISBN 13 : 9780521596541
Total Pages : 196 pages
Book Rating : 4.5/5 (965 download)
Download or read book Introduction to Geometric Probability written by Daniel A. Klain and published by Cambridge University Press. This book was released on 1997-12-11 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics. Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santal and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant measures in Euclidean n-space. They develop the theory of the Euler characteristic from an integral-geometric point of view. The authors then prove the fundamental theorem of integral geometry, namely, the kinematic formula. Finally, the analogies between invariant measures on polyconvex sets and measures on order ideals of finite partially ordered sets are investigated. The relationship between convex geometry and enumerative combinatorics motivates much of the presentation. Every chapter concludes with a list of unsolved problems.
Author : V. K. Rohatgi
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to Probability Theory and Mathematical Statistics written by V. K. Rohatgi and published by Wiley-Interscience. This book was released on 1976-04-07 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets and classes; Calculus; Linear Algebra; Probability; Random variables and their probability distributions; Moments and generating functions; Random vectors; Some special distributions; Limit theorems; Sample moments and their distributions; The theory of point estimation; Neyman-pearson theory of testing of hypotheses; Some further results on hypotheses testing; Confidence estimation; The general linear hypothesis; nonparametric statistical inference; Sequential statistical inference.
Author : Eugene Lukacs
Publisher : Academic Press
ISBN 13 : 1483269205
Total Pages : 254 pages
Book Rating : 4.4/5 (832 download)
Download or read book Probability and Mathematical Statistics written by Eugene Lukacs and published by Academic Press. This book was released on 2014-05-10 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: An Introduction provides a well-balanced first introduction to probability theory and mathematical statistics. This book is organized into two sections encompassing nine chapters. The first part deals with the concept and elementary properties of probability space, and random variables and their probability distributions. This part also considers the principles of limit theorems, the distribution of random variables, and the so-called student’s distribution. The second part explores pertinent topics in mathematical statistics, including the concept of sampling, estimation, and hypotheses testing. This book is intended primarily for undergraduate statistics students.
Author : C. R. Heathcote
Publisher : Courier Corporation
ISBN 13 : 0486153401
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)
Download or read book Probability written by C. R. Heathcote and published by Courier Corporation. This book was released on 2012-04-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVText deals with basic notions of probablity spaces, random variables, distribution and generating functions, joint distributions and the convergence properties of sequences of random variables. Over 250 exercises with solutions. /div
Author : Marek Fisz
Publisher :
ISBN 13 :
Total Pages : 677 pages
Book Rating : 4.:/5 (82 download)
Download or read book Probability Theory and Mathematical Statistics written by Marek Fisz and published by . This book was released on 1980 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry C. Tuckwell
Publisher : Routledge
ISBN 13 : 1351452959
Total Pages : 200 pages
Book Rating : 4.3/5 (514 download)
Download or read book Elementary Applications of Probability Theory written by Henry C. Tuckwell and published by Routledge. This book was released on 2018-02-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.
Author : R. V. Ambartzumian
Publisher : Cambridge University Press
ISBN 13 : 9780521345354
Total Pages : 312 pages
Book Rating : 4.3/5 (453 download)
Download or read book Factorization Calculus and Geometric Probability written by R. V. Ambartzumian and published by Cambridge University Press. This book was released on 1990-09-28 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel way to provide a framework in which they can be studied. The author focuses on factorization properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate nontrivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach is suitable for a nonspecialist audience. Even in the later chapters, where the factorization principles are applied to geometrical processes, the only prerequisites are standard courses on probability and analysis. The main ideas presented have application to such areas as stereology and geometrical statistics and this book will be a useful reference book for university students studying probability theory and stochastic geometry, and research mathematicians interested in this area.
Author : Shun'ichi Amari
Publisher : IMS
ISBN 13 : 9780940600126
Total Pages : 254 pages
Book Rating : 4.6/5 (1 download)
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:
Author : Hung T. Nguyen
Publisher : Springer Science & Business Media
ISBN 13 : 9780387970141
Total Pages : 450 pages
Book Rating : 4.9/5 (71 download)
Download or read book Fundamentals of Mathematical Statistics written by Hung T. Nguyen and published by Springer Science & Business Media. This book was released on 1989-07-25 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first half of a text for a two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career. To study this text, the reader needs a thorough familiarity with calculus including such things as Jacobians and series but somewhat less intense familiarity with matrices including quadratic forms and eigenvalues. For convenience, these lecture notes were divided into two parts: Volume I, Probability for Statistics, for the first semester, and Volume II, Statistical Inference, for the second. We suggest that the following distinguish this text from other introductions to mathematical statistics. 1. The most obvious thing is the layout. We have designed each lesson for the (U.S.) 50 minute class; those who study independently probably need the traditional three hours for each lesson. Since we have more than (the U.S. again) 90 lessons, some choices have to be made. In the table of contents, we have used a * to designate those lessons which are "interesting but not essential" (INE) and may be omitted from a general course; some exercises and proofs in other lessons are also "INE". We have made lessons of some material which other writers might stuff into appendices. Incorporating this freedom of choice has led to some redundancy, mostly in definitions, which may be beneficial.
