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Asymptotic Methods In The Theory Of Gaussian Processes And Fields


Asymptotic Methods In The Theory Of Gaussian Processes And Fields
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Asymptotic Methods In The Theory Of Gaussian Processes And Fields


Asymptotic Methods In The Theory Of Gaussian Processes And Fields
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Author : Vladimir Ilʹich Piterbarg
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Asymptotic Methods In The Theory Of Gaussian Processes And Fields written by Vladimir Ilʹich Piterbarg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


does not need NBB copy



Level Sets And Extrema Of Random Processes And Fields


Level Sets And Extrema Of Random Processes And Fields
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Author : Jean-Marc Azais
language : en
Publisher: John Wiley & Sons
Release Date : 2009-02-17

Level Sets And Extrema Of Random Processes And Fields written by Jean-Marc Azais 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 2009-02-17 with Mathematics categories.


A timely and comprehensive treatment of random field theory with applications across diverse areas of study Level Sets and Extrema of Random Processes and Fields discusses how to understand the properties of the level sets of paths as well as how to compute the probability distribution of its extremal values, which are two general classes of problems that arise in the study of random processes and fields and in related applications. This book provides a unified and accessible approach to these two topics and their relationship to classical theory and Gaussian processes and fields, and the most modern research findings are also discussed. The authors begin with an introduction to the basic concepts of stochastic processes, including a modern review of Gaussian fields and their classical inequalities. Subsequent chapters are devoted to Rice formulas, regularity properties, and recent results on the tails of the distribution of the maximum. Finally, applications of random fields to various areas of mathematics are provided, specifically to systems of random equations and condition numbers of random matrices. Throughout the book, applications are illustrated from various areas of study such as statistics, genomics, and oceanography while other results are relevant to econometrics, engineering, and mathematical physics. The presented material is reinforced by end-of-chapter exercises that range in varying degrees of difficulty. Most fundamental topics are addressed in the book, and an extensive, up-to-date bibliography directs readers to existing literature for further study. Level Sets and Extrema of Random Processes and Fields is an excellent book for courses on probability theory, spatial statistics, Gaussian fields, and probabilistic methods in real computation at the upper-undergraduate and graduate levels. It is also a valuable reference for professionals in mathematics and applied fields such as statistics, engineering, econometrics, mathematical physics, and biology.



Geometric Theory Of Functions Of A Complex Variable


Geometric Theory Of Functions Of A Complex Variable
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Author : Gennadiĭ Mikhaĭlovich Goluzin
language : en
Publisher: American Mathematical Soc.
Release Date : 1969

Geometric Theory Of Functions Of A Complex Variable written by Gennadiĭ Mikhaĭlovich Goluzin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Functions of complex variables categories.




A Modern Approach To Probability Theory


A Modern Approach To Probability Theory
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Author : Bert E. Fristedt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

A Modern Approach To Probability Theory written by Bert E. Fristedt 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 2013-11-21 with Mathematics categories.


Overview This book is intended as a textbook in probability for graduate students in math ematics and related areas such as statistics, economics, physics, and operations research. Probability theory is a 'difficult' but productive marriage of mathemat ical abstraction and everyday intuition, and we have attempted to exhibit this fact. Thus we may appear at times to be obsessively careful in our presentation of the material, but our experience has shown that many students find them selves quite handicapped because they have never properly come to grips with the subtleties of the definitions and mathematical structures that form the foun dation of the field. Also, students may find many of the examples and problems to be computationally challenging, but it is our belief that one of the fascinat ing aspects of prob ability theory is its ability to say something concrete about the world around us, and we have done our best to coax the student into doing explicit calculations, often in the context of apparently elementary models. The practical applications of probability theory to various scientific fields are far-reaching, and a specialized treatment would be required to do justice to the interrelations between prob ability and any one of these areas. However, to give the reader a taste of the possibilities, we have included some examples, particularly from the field of statistics, such as order statistics, Dirichlet distri butions, and minimum variance unbiased estimation.



Gaussian Measures


Gaussian Measures
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Author : Vladimir I. Bogachev
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-01-26

Gaussian Measures written by Vladimir I. Bogachev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-26 with Mathematics categories.


This book gives a systematic exposition of the modern theory of Gaussian measures. It presents with complete and detailed proofs fundamental facts about finite and infinite dimensional Gaussian distributions. Covered topics include linear properties, convexity, linear and nonlinear transformations, and applications to Gaussian and diffusion processes. Suitable for use as a graduate text and/or a reference work, this volume contains many examples, exercises, and an extensive bibliography. It brings together many results that have not appeared previously in book form.



Sojourns And Extremes Of Stochastic Processes


Sojourns And Extremes Of Stochastic Processes
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Author : Simeon Berman
language : en
Publisher: Routledge
Release Date : 2017-07-12

Sojourns And Extremes Of Stochastic Processes written by Simeon Berman and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Mathematics categories.


Sojourns and Extremes of Stochastic Processes is a research monograph in the area of probability theory. During the past thirty years Berman has made many contributions to the theory of the extreme values and sojourn times of the sample functions of broad classes of stochastic processes. These processes arise in theoretical and applied models, and are presented here in a unified exposition.



Gaussian Random Functions


Gaussian Random Functions
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Author : M.A. Lifshits
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Gaussian Random Functions written by M.A. Lifshits 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 2013-03-09 with Mathematics categories.


It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite-dimensional analogues of tht



Seminar On Stochastic Analysis Random Fields And Applications Iv


Seminar On Stochastic Analysis Random Fields And Applications Iv
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Author : Robert Dalang
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Seminar On Stochastic Analysis Random Fields And Applications Iv written by Robert Dalang and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume contains the Proceedings of the Fourth Seminar on Stochastic Analy sis, Random Fields and Applications, which took place at the Centro Stefano Fran scini (Monte Verita) in Ascona (Ticino), Switzerland, from May 20 to 24, 2002. The first three editions of this conference occured in 1993, 1996 and 1999. The Seminar covered several topics: fundamental aspects of stochastic analysis, such as stochastic partial differential equations and random fields, and applications to current active fields such as probabilistic methods in fluid dynamics, biomathe matics, and financial modeling. As in the previous editions, this last topic was the subject of the Fourth Minisymposium on Stochastic Methods in Financial Models. These proceedings aim to present key aspects of these topics to a larger audience. All papers in this volume have been refereed. A major topic within Stochastic Analysis is the area of random fields which includes as particular cases, Gaussian random fields, stochastic partial differential equations (s. p. d. e. 's) and stochastic differential equations with values in Banach spaces. In this framework, interesting new developments were presented in the theory of Gaussian random fields on manifolds with applications to astrophysics and neurosciences. Moreover, with the aim of modeling certain very irregular phe nomena, a theory of s. p. d. e. 's driven by noises concentrated on hyperplanes was presented.



Simulation Of Stochastic Processes With Given Accuracy And Reliability


Simulation Of Stochastic Processes With Given Accuracy And Reliability
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Author : Yuriy V. Kozachenko
language : en
Publisher: Elsevier
Release Date : 2016-11-22

Simulation Of Stochastic Processes With Given Accuracy And Reliability written by Yuriy V. Kozachenko and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-22 with Mathematics categories.


Simulation has now become an integral part of research and development across many fields of study. Despite the large amounts of literature in the field of simulation and modeling, one recurring problem is the issue of accuracy and confidence level of constructed models. By outlining the new approaches and modern methods of simulation of stochastic processes, this book provides methods and tools in measuring accuracy and reliability in functional spaces. The authors explore analysis of the theory of Sub-Gaussian (including Gaussian one) and Square Gaussian random variables and processes and Cox processes. Methods of simulation of stochastic processes and fields with given accuracy and reliability in some Banach spaces are also considered. - Provides an analysis of the theory of Sub-Gaussian (including Gaussian one) and Square Gaussian random variables and processes - Contains information on the study of the issue of accuracy and confidence level of constructed models not found in other books on the topic - Provides methods and tools in measuring accuracy and reliability in functional spaces



Elliptic Functions And Elliptic Integrals


Elliptic Functions And Elliptic Integrals
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Author : Viktor Vasil_evich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-09-16

Elliptic Functions And Elliptic Integrals written by Viktor Vasil_evich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-16 with Mathematics categories.


This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.