Introduction to the Calculus of Variations, 

Автор: T. W. Anderson
Название: An Introduction to Multivariate Statistical Analysis, Third Edition
ISBN: 0471360910 ISBN-13(EAN): 9780471360919
Издательство: Wiley
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Цена: 27712.00 р.
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Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.

Автор: Malliavin
Название: Stochastic Calculus of Variations in Mathematical Finance
ISBN: 3540434313 ISBN-13(EAN): 9783540434313
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Malliavin calculus provides an infinite-dimensional differential calculus in the context of continuous paths stochastic processes. The calculus includes formulae of integration by parts and Sobolev spaces of differentiable functions defined on a probability space. This new book, demonstrating the relevance of Malliavin calculus for Mathematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable Monte Carlo schemes for numerical valuation of digital options. Finite-dimensional projections of infinite-dimensional Sobolev spaces lead to Monte Carlo computations of conditional expectations useful for computing American options. The discretization error of the Euler scheme for a stochastic differential equation is expressed as a generalized Watanabe distribution on the Wiener space. Insider information is expressed as an infinite-dimensional drift. The last chapter gives an introduction to the same objects in the context of jump processes where incomplete markets appear.

Автор: Torres Delfim F. M.
Название: Introduction to the Fractional Calculus of Variations
ISBN: 1848169663 ISBN-13(EAN): 9781848169661
Издательство: World Scientific Publishing
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Цена: 10454.00 р.
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Описание: Suitable for graduate students and ambitious undergraduates in mathematics and mechanics, this title offers an introduction to the subject of Fractional Calculus of Variations (FCV). It describes non-conservative systems in mechanics.

Автор: Calin Ovidiu
Название: Informal Introduction To Stochastic Calculus With Applications, An
ISBN: 9814689912 ISBN-13(EAN): 9789814689915
Издательство: World Scientific Publishing
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Описание: The Goal Of This Book Is To Present Stochastic Calculus At An Introductory Level And Not At Its Maximum Mathematical Detail. The Author Aims To Capture As Much As Possible The Spirit Of Elementary Deterministic Calculus, At Which Students Have Been Already Exposed. This Assumes A Presentation That Mimics Similar Properties Of Deterministic Calculus, Which Facilitates Understanding Of More Complicated Topics Of Stochastic Calculus.