Peacocks And Associated Martingales With Explicit Constructions

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Peacocks and Associated Martingales, with Explicit Constructions

Author : Francis Hirsch
Publisher : Springer Science & Business Media
ISBN 13 : 8847019087
Total Pages : 412 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Peacocks and Associated Martingales, with Explicit Constructions by : Francis Hirsch

Download or read book Peacocks and Associated Martingales, with Explicit Constructions written by Francis Hirsch and published by Springer Science & Business Media. This book was released on 2011-05-24 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: We call peacock an integrable process which is increasing in the convex order; such a notion plays an important role in Mathematical Finance. A deep theorem due to Kellerer states that a process is a peacock if and only if it has the same one-dimensional marginals as a martingale. Such a martingale is then said to be associated to this peacock. In this monograph, we exhibit numerous examples of peacocks and associated martingales with the help of different methods: construction of sheets, time reversal, time inversion, self-decomposability, SDE, Skorokhod embeddings. They are developed in eight chapters, with about a hundred of exercises.

Wiener Chaos: Moments, Cumulants and Diagrams

Author : Giovanni Peccati
Publisher : Springer Science & Business Media
ISBN 13 : 8847016797
Total Pages : 281 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Wiener Chaos: Moments, Cumulants and Diagrams by : Giovanni Peccati

Download or read book Wiener Chaos: Moments, Cumulants and Diagrams written by Giovanni Peccati and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differential equations and from probabilistic approximations to mathematical finance. This book is concerned with combinatorial structures arising from the study of chaotic random variables related to infinitely divisible random measures. The combinatorial structures involved are those of partitions of finite sets, over which Möbius functions and related inversion formulae are defined. This combinatorial standpoint (which is originally due to Rota and Wallstrom) provides an ideal framework for diagrams, which are graphical devices used to compute moments and cumulants of random variables. Several applications are described, in particular, recent limit theorems for chaotic random variables. An Appendix presents a computer implementation in MATHEMATICA for many of the formulae.

Séminaire de Probabilités XLVIII

Author : Catherine Donati-Martin
Publisher : Springer
ISBN 13 : 3319444654
Total Pages : 503 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Séminaire de Probabilités XLVIII by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLVIII written by Catherine Donati-Martin and published by Springer. This book was released on 2016-11-17 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to its further exploration of the subject of peacocks, introduced in recent Séminaires de Probabilités, this volume continues the series’ focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices. Also included are some particularly interesting articles involving harmonic measures, random fields and loop soups. The featured contributors are Mathias Beiglböck, Martin Huesmann and Florian Stebegg, Nicolas Juillet, Gilles Pags, Dai Taguchi, Alexis Devulder, Mátyás Barczy and Peter Kern, I. Bailleul, Jürgen Angst and Camille Tardif, Nicolas Privault, Anita Behme, Alexander Lindner and Makoto Maejima, Cédric Lecouvey and Kilian Raschel, Christophe Profeta and Thomas Simon, O. Khorunzhiy and Songzi Li, Franck Maunoury, Stéphane Laurent, Anna Aksamit and Libo Li, David Applebaum, and Wendelin Werner.

Asymptotic Laws and Methods in Stochastics

Author : Donald Dawson
Publisher : Springer
ISBN 13 : 1493930761
Total Pages : 406 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Asymptotic Laws and Methods in Stochastics by : Donald Dawson

Download or read book Asymptotic Laws and Methods in Stochastics written by Donald Dawson and published by Springer. This book was released on 2015-11-12 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains articles arising from a conference in honour of mathematician-statistician Miklόs Csörgő on the occasion of his 80th birthday, held in Ottawa in July 2012. It comprises research papers and overview articles, which provide a substantial glimpse of the history and state-of-the-art of the field of asymptotic methods in probability and statistics, written by leading experts. The volume consists of twenty articles on topics on limit theorems for self-normalized processes, planar processes, the central limit theorem and laws of large numbers, change-point problems, short and long range dependent time series, applied probability and stochastic processes, and the theory and methods of statistics. It also includes Csörgő’s list of publications during more than 50 years, since 1962.

Mathematical Statistics and Limit Theorems

Author : Marc Hallin
Publisher : Springer
ISBN 13 : 3319124420
Total Pages : 326 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematical Statistics and Limit Theorems by : Marc Hallin

Download or read book Mathematical Statistics and Limit Theorems written by Marc Hallin and published by Springer. This book was released on 2015-04-07 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.

Model-free Hedging

Author : Pierre Henry-Labordere
Publisher : CRC Press
ISBN 13 : 1351666231
Total Pages : 190 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Model-free Hedging by : Pierre Henry-Labordere

Download or read book Model-free Hedging written by Pierre Henry-Labordere and published by CRC Press. This book was released on 2017-05-25 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model-free Hedging: A Martingale Optimal Transport Viewpoint focuses on the computation of model-independent bounds for exotic options consistent with market prices of liquid instruments such as Vanilla options. The author gives an overview of Martingale Optimal Transport, highlighting the differences between the optimal transport and its martingale counterpart. This topic is then discussed in the context of mathematical finance.

Séminaire de Probabilités XLIII

Author : Catherine Donati Martin
Publisher : Springer
ISBN 13 : 3642152171
Total Pages : 511 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Séminaire de Probabilités XLIII by : Catherine Donati Martin

Download or read book Séminaire de Probabilités XLIII written by Catherine Donati Martin and published by Springer. This book was released on 2010-10-20 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new volume of the Séminaire de Probabilités which is now in its 43rd year. Following the tradition, this volume contains about 20 original research and survey articles on topics related to stochastic analysis. It contains an advanced course of J. Picard on the representation formulae for fractional Brownian motion. The regular chapters cover a wide range of themes, such as stochastic calculus and stochastic differential equations, stochastic differential geometry, filtrations, analysis on Wiener space, random matrices and free probability, as well as mathematical finance. Some of the contributions were presented at the Journées de Probabilités held in Poitiers in June 2009.

Séminaire de Probabilités XLV

Author : Catherine Donati-Martin
Publisher : Springer
ISBN 13 : 3319003216
Total Pages : 558 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Séminaire de Probabilités XLV by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLV written by Catherine Donati-Martin and published by Springer. This book was released on 2013-07-19 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series of advanced courses initiated in Séminaire de Probabilités XXXIII continues with a course by Ivan Nourdin on Gaussian approximations using Malliavin calculus. The Séminaire also occasionally publishes a series of contributions on a unifying subject; in this spirit, selected participants to the September 2011 Conference on Stochastic Filtrations, held in Strasbourg and organized by Michel Émery, have also contributed to the present volume. The rest of the work covers a wide range of topics, such as stochastic calculus and Markov processes, random matrices and free probability, and combinatorial optimization.

Author :
Publisher : Springer Nature
ISBN 13 : 3031474171
Total Pages : 905 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis by :

Download or read book written by and published by Springer Nature. This book was released on with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Stochastics and Applications

Author : Volodymyr Korolyuk
Publisher : Springer Science & Business Media
ISBN 13 : 3319035126
Total Pages : 349 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modern Stochastics and Applications by : Volodymyr Korolyuk

Download or read book Modern Stochastics and Applications written by Volodymyr Korolyuk and published by Springer Science & Business Media. This book was released on 2014-01-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures and experiments. Accessible to researchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas and methodologies in the fields of optimization, physics, finance, probability, hydrodynamics, reliability, decision making, mathematical finance, mathematical physics and economics. Contributions to this Work include those of selected speakers from the international conference entitled “Modern Stochastics: Theory and Applications III,” held on September 10 –14, 2012 at Taras Shevchenko National University of Kyiv, Ukraine. The conference covered the following areas of research in probability theory and its applications: stochastic analysis, stochastic processes and fields, random matrices, optimization methods in probability, stochastic models of evolution systems, financial mathematics, risk processes and actuarial mathematics and information security.

Analytically Tractable Stochastic Stock Price Models

Author : Archil Gulisashvili
Publisher : Springer Science & Business Media
ISBN 13 : 3642312144
Total Pages : 371 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Analytically Tractable Stochastic Stock Price Models by : Archil Gulisashvili

Download or read book Analytically Tractable Stochastic Stock Price Models written by Archil Gulisashvili and published by Springer Science & Business Media. This book was released on 2012-09-04 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic analysis of stochastic stock price models is the central topic of the present volume. Special examples of such models are stochastic volatility models, that have been developed as an answer to certain imperfections in a celebrated Black-Scholes model of option pricing. In a stock price model with stochastic volatility, the random behavior of the volatility is described by a stochastic process. For instance, in the Hull-White model the volatility process is a geometric Brownian motion, the Stein-Stein model uses an Ornstein-Uhlenbeck process as the stochastic volatility, and in the Heston model a Cox-Ingersoll-Ross process governs the behavior of the volatility. One of the author's main goals is to provide sharp asymptotic formulas with error estimates for distribution densities of stock prices, option pricing functions, and implied volatilities in various stochastic volatility models. The author also establishes sharp asymptotic formulas for the implied volatility at extreme strikes in general stochastic stock price models. The present volume is addressed to researchers and graduate students working in the area of financial mathematics, analysis, or probability theory. The reader is expected to be familiar with elements of classical analysis, stochastic analysis and probability theory.

Functionals of Multidimensional Diffusions with Applications to Finance

Author : Jan Baldeaux
Publisher : Springer Science & Business Media
ISBN 13 : 3319007475
Total Pages : 432 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Functionals of Multidimensional Diffusions with Applications to Finance by : Jan Baldeaux

Download or read book Functionals of Multidimensional Diffusions with Applications to Finance written by Jan Baldeaux and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph provides an introduction to tractable multidimensional diffusion models, where transition densities, Laplace transforms, Fourier transforms, fundamental solutions or functionals can be obtained in explicit form. The book also provides an introduction to the use of Lie symmetry group methods for diffusions, which allows to compute a wide range of functionals. Besides the well-known methodology on affine diffusions it presents a novel approach to affine processes with applications in finance. Numerical methods, including Monte Carlo and quadrature methods, are discussed together with supporting material on stochastic processes. Applications in finance, for instance, on credit risk and credit valuation adjustment are included in the book. The functionals of multidimensional diffusions analyzed in this book are significant for many areas of application beyond finance. The book is aimed at a wide readership, and develops an intuitive and rigorous understanding of the mathematics underlying the derivation of explicit formulas for functionals of multidimensional diffusions.

Peter Carr Gedenkschrift: Research Advances In Mathematical Finance

Author : Robert A Jarrow
Publisher : World Scientific
ISBN 13 : 9811280312
Total Pages : 866 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Peter Carr Gedenkschrift: Research Advances In Mathematical Finance by : Robert A Jarrow

Download or read book Peter Carr Gedenkschrift: Research Advances In Mathematical Finance written by Robert A Jarrow and published by World Scientific. This book was released on 2023-11-10 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Gedenkschrift for Peter Carr, our dear friend and colleague who suddenly left us on March 1, 2022, was organized to honor the life and lasting contributions of Peter to Quantitative Finance. A group of Peter's co-authors and professional friends contributed chapters for this Gedenkschrift shortly after his passing. The papers were received by September 15, 2022 and some were presented at the Peter Carr Gedenkschrift Conference held at the Robert H Smith School of Business on November 11, 2022. The contributed papers cover a wide range of topics corresponding to the vast range of Peter's interests. Each paper represents new research results in recognition of Peter's scholarly activities. The book serves as an important marker for the research knowledge existing at the time of the Gedenkschrift's publication on a number of topics within quantitative finance. It reflects the diverse interactions between mathematics and finance and illustrates, for those interested, the breadth and depth of this development. The book also presents a collection of tributes to Peter from family and friends including those made at his Memorial Service on March 19, 2022. The result is hopefully a more complete testament to a personal and professional life well lived, and unexpectedly cut short.

Selected Aspects of Fractional Brownian Motion

Author : Ivan Nourdin
Publisher : Springer Science & Business Media
ISBN 13 : 884702823X
Total Pages : 133 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Selected Aspects of Fractional Brownian Motion by : Ivan Nourdin

Download or read book Selected Aspects of Fractional Brownian Motion written by Ivan Nourdin and published by Springer Science & Business Media. This book was released on 2013-01-17 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium- or long-memory property which is in sharp contrast with martingales and Markov processes. FBm has become a popular choice for applications where classical processes cannot model these non-trivial properties; for instance long memory, which is also known as persistence, is of fundamental importance for financial data and in internet traffic. The mathematical theory of fBm is currently being developed vigorously by a number of stochastic analysts, in various directions, using complementary and sometimes competing tools. This book is concerned with several aspects of fBm, including the stochastic integration with respect to it, the study of its supremum and its appearance as limit of partial sums involving stationary sequences, to name but a few. The book is addressed to researchers and graduate students in probability and mathematical statistics. With very few exceptions (where precise references are given), every stated result is proved.

In Memoriam Marc Yor - Séminaire de Probabilités XLVII

Author : Catherine Donati-Martin
Publisher : Springer
ISBN 13 : 3319185853
Total Pages : 619 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis In Memoriam Marc Yor - Séminaire de Probabilités XLVII by : Catherine Donati-Martin

Download or read book In Memoriam Marc Yor - Séminaire de Probabilités XLVII written by Catherine Donati-Martin and published by Springer. This book was released on 2015-09-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Marc Yor, who passed away in 2014. The invited contributions by his collaborators and former students bear testament to the value and diversity of his work and of his research focus, which covered broad areas of probability theory. The volume also provides personal recollections about him, and an article on his essential role concerning the Doeblin documents. With contributions by P. Salminen, J-Y. Yen & M. Yor; J. Warren; T. Funaki; J. Pitman& W. Tang; J-F. Le Gall; L. Alili, P. Graczyk & T. Zak; K. Yano & Y. Yano; D. Bakry & O. Zribi; A. Aksamit, T. Choulli & M. Jeanblanc; J. Pitman; J. Obloj, P. Spoida & N. Touzi; P. Biane; J. Najnudel; P. Fitzsimmons, Y. Le Jan & J. Rosen; L.C.G. Rogers & M. Duembgen; E. Azmoodeh, G. Peccati & G. Poly, timP-L Méliot, A. Nikeghbali; P. Baldi; N. Demni, A. Rouault & M. Zani; N. O'Connell; N. Ikeda & H. Matsumoto; A. Comtet & Y. Tourigny; P. Bougerol; L. Chaumont; L. Devroye & G. Letac; D. Stroock and M. Emery.

Seminaire de Probabilites XXXI

Author : Jacques Azema
Publisher : Springer Science & Business Media
ISBN 13 : 9783540626343
Total Pages : 344 pages
Book Rating : 4.6/5 (263 download)

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Book Synopsis Seminaire de Probabilites XXXI by : Jacques Azema

Download or read book Seminaire de Probabilites XXXI written by Jacques Azema and published by Springer Science & Business Media. This book was released on 1997-04-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 31 papers collected here present original research results obtained in 1995-96, on Brownian motion and, more generally, diffusion processes, martingales, Wiener spaces, polymer measures.

Lectures on the Mathematics of Finance

Author : Ioannis Karatzas
Publisher : American Mathematical Soc.
ISBN 13 : 0821809091
Total Pages : 163 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on the Mathematics of Finance by : Ioannis Karatzas

Download or read book Lectures on the Mathematics of Finance written by Ioannis Karatzas and published by American Mathematical Soc.. This book was released on 1997 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.