Discrete-Time Approximations and Limit Theorems

Discrete-Time Approximations and Limit Theorems PDF Author: Yuliya Mishura
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110652994
Category : Mathematics
Languages : en
Pages : 222

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Book Description
The De Gruyter Series in Probability and Stochastics is devoted to the publication of high-level monographs and specialized graduate texts in any branch of modern probability theory and stochastics, along with their numerous applications in other parts of mathematics, physics and informatics, in economics and finance, and in the life sciences. The aim of the series is to present recent research results in the form of authoritative and comprehensive works that will serve the probability and stochastics community as basis for further research. Editorial Board Itai Benjamini, Weizmann Institute of Science, Israel Jean Bertoin, Universität Zürich, Switzerland Michel Ledoux, Université de Toulouse, France René L. Schilling, Technische Universität Dresden, Germany

Discrete-Time Approximations and Limit Theorems

Discrete-Time Approximations and Limit Theorems PDF Author: Yuliya Mishura
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110652994
Category : Mathematics
Languages : en
Pages : 222

Get Book Here

Book Description
The De Gruyter Series in Probability and Stochastics is devoted to the publication of high-level monographs and specialized graduate texts in any branch of modern probability theory and stochastics, along with their numerous applications in other parts of mathematics, physics and informatics, in economics and finance, and in the life sciences. The aim of the series is to present recent research results in the form of authoritative and comprehensive works that will serve the probability and stochastics community as basis for further research. Editorial Board Itai Benjamini, Weizmann Institute of Science, Israel Jean Bertoin, Universität Zürich, Switzerland Michel Ledoux, Université de Toulouse, France René L. Schilling, Technische Universität Dresden, Germany

Discrete-Time Approximations and Limit Theorems

Discrete-Time Approximations and Limit Theorems PDF Author: Yuliya Mishura
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110654245
Category : Mathematics
Languages : en
Pages : 390

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Book Description
Financial market modeling is a prime example of a real-life application of probability theory and stochastics. This authoritative book discusses the discrete-time approximation and other qualitative properties of models of financial markets, like the Black-Scholes model and its generalizations, offering in this way rigorous insights on one of the most interesting applications of mathematics nowadays.

Backward Stochastic Differential Equations

Backward Stochastic Differential Equations PDF Author: N El Karoui
Publisher: CRC Press
ISBN: 9780582307339
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.

Probability Methods for Approximations in Stochastic Control and for Elliptic Equations

Probability Methods for Approximations in Stochastic Control and for Elliptic Equations PDF Author: Kushner
Publisher: Academic Press
ISBN: 0080956386
Category : Computers
Languages : en
Pages : 263

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Book Description
Probability Methods for Approximations in Stochastic Control and for Elliptic Equations

The Mathematics of Internet Congestion Control

The Mathematics of Internet Congestion Control PDF Author: Rayadurgam Srikant
Publisher: Springer Science & Business Media
ISBN: 0817682163
Category : Science
Languages : en
Pages : 170

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Book Description
* Recommended by T.Basar, SC series ed. * This text addresses a new, active area of research and fills a gap in the literature. * Bridges mathematics, engineering, and computer science; considers stochastic and optimization aspects of congestion control in Internet data transfers. * Useful as a supplementary text & reference for grad students with some background in control theory; also suitable for researchers.

Numerical Methods for Stochastic Control Problems in Continuous Time

Numerical Methods for Stochastic Control Problems in Continuous Time PDF Author: Harold Kushner
Publisher: Springer Science & Business Media
ISBN: 1468404415
Category : Science
Languages : en
Pages : 436

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Book Description
This book is concerned with numerical methods for stochastic control and optimal stochastic control problems. The random process models of the controlled or uncontrolled stochastic systems are either diffusions or jump diffusions. Stochastic control is a very active area of research and new prob lem formulations and sometimes surprising applications appear regularly. We have chosen forms of the models which cover the great bulk of the for mulations of the continuous time stochastic control problems which have appeared to date. The standard formats are covered, but much emphasis is given to the newer and less well known formulations. The controlled process might be either stopped or absorbed on leaving a constraint set or upon first hitting a target set, or it might be reflected or "projected" from the boundary of a constraining set. In some of the more recent applications of the reflecting boundary problem, for example the so-called heavy traffic approximation problems, the directions of reflection are actually discontin uous. In general, the control might be representable as a bounded function or it might be of the so-called impulsive or singular control types. Both the "drift" and the "variance" might be controlled. The cost functions might be any of the standard types: Discounted, stopped on first exit from a set, finite time, optimal stopping, average cost per unit time over the infinite time interval, and so forth.

Inference for Diffusion Processes

Inference for Diffusion Processes PDF Author: Christiane Fuchs
Publisher: Springer Science & Business Media
ISBN: 3642259693
Category : Mathematics
Languages : en
Pages : 439

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Book Description
Diffusion processes are a promising instrument for realistically modelling the time-continuous evolution of phenomena not only in the natural sciences but also in finance and economics. Their mathematical theory, however, is challenging, and hence diffusion modelling is often carried out incorrectly, and the according statistical inference is considered almost exclusively by theoreticians. This book explains both topics in an illustrative way which also addresses practitioners. It provides a complete overview of the current state of research and presents important, novel insights. The theory is demonstrated using real data applications.

Limit Theorems for Randomly Stopped Stochastic Processes

Limit Theorems for Randomly Stopped Stochastic Processes PDF Author: Dmitriĭ Sergeevich Silʹvestrov
Publisher: Springer Science & Business Media
ISBN: 9781852337773
Category : Mathematics
Languages : en
Pages : 426

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Book Description
Limit theorems for stochastic processes are an important part of probability theory and mathematical statistics and one model that has attracted the attention of many researchers working in the area is that of limit theorems for randomly stopped stochastic processes.This volume is the first to present a state-of-the-art overview of this field, with many of the results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast, and technically demanding, Russian literature in detail. A survey of the literature and an extended bibliography of works in the area are also provided.The coverage is thorough, streamlined and arranged according to difficulty for use as an upper-level text if required. It is an essential reference for theoretical and applied researchers in the fields of probability and statistics that will contribute to the continuing extensive studies in the area and remain relevant for years to come.

A Long-Run Collaboration on Long-Run Games

A Long-Run Collaboration on Long-Run Games PDF Author: Drew Fudenberg
Publisher: World Scientific
ISBN: 9812818472
Category : Mathematics
Languages : en
Pages : 417

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Book Description
This book brings together the joint work of Drew Fudenberg and David Levine (through 2008) on the closely connected topics of repeated games and reputation effects, along with related papers on more general issues in game theory and dynamic games. The unified presentation highlights the recurring themes of their work.

Handbook of Computational and Numerical Methods in Finance

Handbook of Computational and Numerical Methods in Finance PDF Author: Svetlozar T. Rachev
Publisher: Springer Science & Business Media
ISBN: 0817681809
Category : Mathematics
Languages : en
Pages : 438

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Book Description
The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored. This volume presents current research and survey articles focusing on various numerical methods in finance. The book is designed for the academic community and will also serve professional investors.