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Large Deviations, S.R.S. Varadhan


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Автор: S.R.S. Varadhan
Название:  Large Deviations
ISBN: 9780821840863
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 082184086X
Обложка/Формат: Paperback
Страницы: 104
Вес: 0.21 кг.
Дата издания: 30.12.2016
Серия: Courant lecture notes
Язык: English
Размер: 180 x 254 x 9
Ключевые слова: Probability & statistics
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Поставляется из: Англии
Описание: The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems.
Дополнительное описание: Probability and statistics



Large deviations and asymptotic methods in finance

Название: Large deviations and asymptotic methods in finance
ISBN: 3319116045 ISBN-13(EAN): 9783319116044
Издательство: Springer
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Цена: 22359.00 р.
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Описание:

Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility.- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model.- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry.- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility.- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities.- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model.- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility.- Gatheral, Wang: Implied volatility from local volatility: a path integral approach.- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility.- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes.- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes.- Takahashi: An Asymptotic Expansion Approach in Finance.- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions.- Lucic: On singularities in the Heston model.- Bayer, Friz, Laurence: On the probability density function of baskets.- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models.- Pham: Long time asymptotic problems for optimal investment.- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems.- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.

Limit Theorems on Large Deviations for Markov Stochastic Processes

Автор: A.D. Wentzell
Название: Limit Theorems on Large Deviations for Markov Stochastic Processes
ISBN: 0792301439 ISBN-13(EAN): 9780792301431
Издательство: Springer
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Цена: 10760.00 р.
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Описание: One service mathematics has rendered the 'Et BIOi. .... si j'avait su comment en revenir. human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Math@matics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Large Deviations and Asymptotic Methods in Finance

Автор: Peter K. Friz; Jim Gatheral; Archil Gulisashvili;
Название: Large Deviations and Asymptotic Methods in Finance
ISBN: 3319385127 ISBN-13(EAN): 9783319385129
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility.- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model.- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry.- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility.- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities.- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model.- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility.- Gatheral, Wang: Implied volatility from local volatility: a path integral approach.- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility.- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes.- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes.- Takahashi: An Asymptotic Expansion Approach in Finance.- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions.- Lucic: On singularities in the Heston model.- Bayer, Friz, Laurence: On the probability density function of baskets.- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models.- Pham: Long time asymptotic problems for optimal investment.- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems.- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.

Large deviations for gaussian queues

Автор: Mandjes, Michel
Название: Large deviations for gaussian queues
ISBN: 0470015233 ISBN-13(EAN): 9780470015230
Издательство: Wiley
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Цена: 17891.00 р.
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Описание: Demonstrates how the Gaussian traffic model arises naturally, and how the analysis of the corresponding queuing model can be performed. This text provides an introduction to Gaussian queues, and surveys research into the modelling of communications networks. It is useful for postgraduate students in applied probability, and operations research.

Large Deviations in Physics

Автор: Angelo Vulpiani; Fabio Cecconi; Massimo Cencini; A
Название: Large Deviations in Physics
ISBN: 3642542506 ISBN-13(EAN): 9783642542503
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity.

Limit Theorems for Large Deviations

Автор: L. Saulis; V.A. Statulevicius
Название: Limit Theorems for Large Deviations
ISBN: 0792314751 ISBN-13(EAN): 9780792314752
Издательство: Springer
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Цена: 13275.00 р.
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Описание: "Et moi, ...- si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service. topology has rendered mathematical physics .. .':: 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d 'e1: re of this series.

Large Deviations for Random Graphs

Автор: Sourav Chatterjee
Название: Large Deviations for Random Graphs
ISBN: 3319658158 ISBN-13(EAN): 9783319658155
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book addresses the emerging body of literature on the study of rare events in random graphs and networks.

Large Deviations For Performance Analysis

Автор: Weiss
Название: Large Deviations For Performance Analysis
ISBN: 113831577X ISBN-13(EAN): 9781138315778
Издательство: Taylor&Francis
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Цена: 22968.00 р.
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Описание: Originally published in 1995, Large Deviations For Performance Analysis develops the theory of large deviations from the beginning through recent results on the theory for processes with boundaries and looks at a collection of applications developed at Bell Laboratories.


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