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Stochastic Models with Power-Law Tails, Buraczewski


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Автор: Buraczewski
Название:  Stochastic Models with Power-Law Tails
ISBN: 9783319296784
Издательство: Springer
Классификация:



ISBN-10: 3319296787
Обложка/Формат: Hardback
Страницы: 320
Вес: 0.67 кг.
Дата издания: 2016
Серия: Springer Series in Operations Research and Financial Engineering
Язык: English
Издание: 1st ed. 2016
Иллюстрации: 5 tables, color; 5 illustrations, color; 4 illustrations, black and white; xv, 320 p. 9 illus., 5 illus. in color.
Размер: 168 x 241 x 26
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Подзаголовок: The Equation X = AX + B
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In this monograph the authors give a systematic approach to theprobabilistic properties of the fixed point equation X=AX+B. Aprobabilistic study of the stochastic recurrence equation X_t=A_tX_{t-1}+B_tfor real- and matrix-valued random variables A_t, where (A_t,B_t) constitute aniid sequence, is provided. The classical theory for these equations, includingthe existence and uniqueness of a stationary solution, the tail behavior withspecial emphasis on power law behavior, moments and support, is presented. Theauthors collect recent asymptotic results on extremes, point processes, partialsums (central limit theory with special emphasis on infinite variance stablelimit theory), large deviations, in the univariate and multivariate cases, andthey further touch on the related topics of smoothing transforms, regularlyvarying sequences and random iterative systems.The text gives an introduction to the Kesten-Goldie theory forstochastic recurrence equations of the type X_t=A_tX_{t-1}+B_t. It provides the classical results ofKesten, Goldie, Guivarch, and others, and gives an overview of recentresults on the topic. It presents the state-of-the-art results in the field ofaffine stochastic recurrence equations and shows relations with non-affinerecursions and multivariate regular variation.
Дополнительное описание: Introduction.- The Univariate Case.- Univariate Limit Theoru.- Multivariate Case.- Miscellanea.- Appendices.



Stochastic Calculus for Finance II

Автор: Shreve, Steven E.
Название: Stochastic Calculus for Finance II
ISBN: 0387401016 ISBN-13(EAN): 9780387401010
Издательство: Springer
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Цена: 8384.00 р.
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Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.

Stochastic Processes

Автор: Gallager
Название: Stochastic Processes
ISBN: 1107039754 ISBN-13(EAN): 9781107039759
Издательство: Cambridge Academ
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Цена: 11246.00 р.
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Описание: This definitive textbook provides a solid introduction to stochastic processes, covering both theory and applications. It is written by one of the world`s leading information theorists, evolving over twenty years of graduate classroom teaching, and is accompanied by over 300 exercises, with online solutions for instructors.

Stochastic Calculus for Finance I

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387401008 ISBN-13(EAN): 9780387401003
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;

Brownian Motion and Stochastic Calculus

Автор: Karatzas
Название: Brownian Motion and Stochastic Calculus
ISBN: 0387976558 ISBN-13(EAN): 9780387976556
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.

Stochastic methods

Автор: Gardiner, Crispin W.
Название: Stochastic methods
ISBN: 3540707123 ISBN-13(EAN): 9783540707127
Издательство: Springer
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Цена: 11179.00 р.
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Описание: In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.

Doubly Stochastic Models for Volcanic Hazard Assessment at Campi Flegrei Caldera

Автор: Bevilacqua
Название: Doubly Stochastic Models for Volcanic Hazard Assessment at Campi Flegrei Caldera
ISBN: 887642556X ISBN-13(EAN): 9788876425561
Издательство: Springer
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Цена: 3075.00 р.
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Описание: This study provides innovative mathematical models for assessing the eruption probability and associated volcanic hazards, and applies them to the Campi Flegrei caldera in Italy.

Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance

Автор: Ibragimov Rustam Et Al
Название: Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance
ISBN: 9814689793 ISBN-13(EAN): 9789814689793
Издательство: World Scientific Publishing
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Цена: 15523.00 р.
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Описание: 'Overall, the book is highly technical, including full mathematical proofs of the results stated. Potential readers are post-graduate students or researchers in Quantitative Risk Management willing to have a manual with the state-of-the-art on portfolio diversification and risk aggregation with heavy tails, including the fundamental theorems as well as collateral (but most useful) results on majorization and copula theory.'Quantitative Finance This book offers a unified approach to the study of crises, large fluctuations, dependence and contagion effects in economics and finance. It covers important topics in statistical modeling and estimation, which combine the notions of copulas and heavy tails -- two particularly valuable tools of today's research in economics, finance, econometrics and other fields -- in order to provide a new way of thinking about such vital problems as diversification of risk and propagation of crises through financial markets due to contagion phenomena, among others. The aim is to arm today's economists with a toolbox suited for analyzing multivariate data with many outliers and with arbitrary dependence patterns. The methods and topics discussed and used in the book include, in particular, majorization theory, heavy-tailed distributions and copula functions -- all applied to study robustness of economic, financial and statistical models, and estimation methods to heavy tails and dependence.

Comparison Methods for Stochastic Models & Risks

Автор: Muller
Название: Comparison Methods for Stochastic Models & Risks
ISBN: 0471494461 ISBN-13(EAN): 9780471494461
Издательство: Wiley
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Цена: 22960.00 р.
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Описание: This work covers stochastic order relations, which provide insight into the behaviour of complex stochastic (random) systems and enables the user to collect comparative data. Application areas include queuing systems, actuarial and financial risk, decision making, and stochastic simulation.

Dynamic Models for Volatility and Heavy Tails

Автор: Harvey
Название: Dynamic Models for Volatility and Heavy Tails
ISBN: 1107034728 ISBN-13(EAN): 9781107034723
Издательство: Cambridge Academ
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Цена: 15682.00 р.
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Описание: This book presents a statistical theory for a class of nonlinear time-series models. It has particular relevance for the modeling of volatility in financial time series but the overall approach will be of interest to econometricians and statisticians in a variety of disciplines.


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