Stochastische Prozesse
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Stochastic Processes And Financial Mathematics
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Author : Ludger Rüschendorf
language : en
Publisher: Springer Nature
Release Date : 2023-04-04
Stochastic Processes And Financial Mathematics written by Ludger Rüschendorf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-04 with Mathematics categories.
The book provides an introduction to advanced topics in stochastic processes and related stochastic analysis, and combines them with a sound presentation of the fundamentals of financial mathematics. It is wide-ranging in content, while at the same time placing much emphasis on good readability, motivation, and explanation of the issues covered. Financial mathematical topics are first introduced in the context of discrete time processes and then transferred to continuous-time models. The basic construction of the stochastic integral and the associated martingale theory provide fundamental methods of the theory of stochastic processes for the construction of suitable stochastic models of financial mathematics, e.g. using stochastic differential equations. Central results of stochastic analysis such as the Itô formula, Girsanov's theorem and martingale representation theorems are of fundamental importance in financial mathematics, e.g. for the risk-neutral valuation formula (Black-Scholes formula) or the question of the hedgeability of options and the completeness of market models. Chapters on the valuation of options in complete and incomplete markets and on the determination of optimal hedging strategies conclude the range of topics. Advanced knowledge of probability theory is assumed, in particular of discrete-time processes (martingales, Markov chains) and continuous-time processes (Brownian motion, Lévy processes, processes with independent increments, Markov processes). The book is thus suitable for advanced students as a companion reading and for instructors as a basis for their own courses. This book is a translation of the original German 1st edition Stochastische Prozesse und Finanzmathematik by Ludger Rüschendorf, published by Springer-Verlag GmbH Germany, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com) and in a subsequent editing, improved by the author. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Experimentelle Stochastik
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Author : Otto Moeschlin
language : de
Publisher: Springer
Release Date : 1995
Experimentelle Stochastik written by Otto Moeschlin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Stochastische Prozesse
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Author : Götz Kersting
language : de
Publisher: Springer-Verlag
Release Date : 2014-08-22
Stochastische Prozesse written by Götz Kersting and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.
Am Anfang des Buches steht die Mathematik der Zufallsvariablen. Die Autoren entwickeln sie im Zusammenspiel mit der Maß- und Integrationstheorie. Ein stochastischer Prozess lässt sich so als ein zufälliger Pfad durch einen Zielbereich betrachten. Behandelt werden Klassen zufälliger Prozesse, die für die Anwendung eine wichtige Rolle spielen. Das Buch liefert Orientierung und Material für eine 2- oder 4-stündige weiterführende Lehrveranstaltung in Stochastik für Mathematiker.
Stochastische Prozesse
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Author : Karsten Webel
language : de
Publisher: Springer-Verlag
Release Date : 2016-06-09
Stochastische Prozesse written by Karsten Webel and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-09 with Business & Economics categories.
Dieses verständliche Einsteigerbuch stellt grundlegend die Theorie der stochastischen Prozesse vor. Nach einem allgemeinen Teil erläutert es die speziellen Klassen stochastischer Prozesse wie Poisson-Prozesse, Markov-Prozesse, Martingale und Brownsche Bewegungen. Detaillierte Beweisführungen sowie zahlreiche Übungsaufgaben mit ausführlichen Lösungen erleichtern das Verständnis, vertiefen und festigen das Gelernte.
Wahrscheinlichkeitsrechnung Und Stochastische Prozesse
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Author : Friedrich K. Jondral
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-09
Wahrscheinlichkeitsrechnung Und Stochastische Prozesse written by Friedrich K. Jondral and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Dieses Buch bietet Studierenden der ingenieurwissenschaftlichen Fächer eine praktisch orientierte Einführung in die wesentlichen Grundlagen der Wahrscheinlichkeitstheorie, die beispielsweise bei der Entwicklung innovativer Mobilfunksysteme oder in der Messtechnik Anwendung findet. Begriffe wie der Wahrscheinlichkeitsraum, die bedingten Wahrscheinlichkeiten, Zufallsvariablen sowie die spezielle Wahrscheinlichkeitsverteilungen werden ebenso wie die Grundlagen stochastischer Prozesse ausführlich aus der Sicht technischer Probleme des Ingenieurs besprochen. Betrachtungen über zeitdiskrete stochastische Prozesse runden den Inhalt des Buches ab. Jedes Kapitel schließt mit vollständig gelösten Übungsaufgaben ab, die dem Leser beim Erarbeiten des Stoffes helfen sollen.
Stochastic Analysis Filtering And Stochastic Optimization
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Author : George Yin
language : en
Publisher: Springer Nature
Release Date : 2022-04-22
Stochastic Analysis Filtering And Stochastic Optimization written by George Yin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Mathematics categories.
This volume is a collection of research works to honor the late Professor Mark H.A. Davis, whose pioneering work in the areas of Stochastic Processes, Filtering, and Stochastic Optimization spans more than five decades. Invited authors include his dissertation advisor, past collaborators, colleagues, mentees, and graduate students of Professor Davis, as well as scholars who have worked in the above areas. Their contributions may expand upon topics in piecewise deterministic processes, pathwise stochastic calculus, martingale methods in stochastic optimization, filtering, mean-field games, time-inconsistency, as well as impulse, singular, risk-sensitive and robust stochastic control.
Stochastic Networks And Queues
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Author : Philippe Robert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Stochastic Networks And Queues written by Philippe Robert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Queues and stochastic networks are analyzed in this book with purely probabilistic methods. The purpose of these lectures is to show that general results from Markov processes, martingales or ergodic theory can be used directly to study the corresponding stochastic processes. Recent developments have shown that, instead of having ad-hoc methods, a better understanding of fundamental results on stochastic processes is crucial to study the complex behavior of stochastic networks. In this book, various aspects of these stochastic models are investigated in depth in an elementary way: Existence of equilibrium, characterization of stationary regimes, transient behaviors (rare events, hitting times) and critical regimes, etc. A simple presentation of stationary point processes and Palm measures is given. Scaling methods and functional limit theorems are a major theme of this book. In particular, a complete chapter is devoted to fluid limits of Markov processes.
Wahrscheinlichkeitstheorie Und Stochastische Prozesse
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Author : Michael Mürmann
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-22
Wahrscheinlichkeitstheorie Und Stochastische Prozesse written by Michael Mürmann and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.
Dieses Lehrbuch beschäftigt sich mit den zentralen Gebieten einer maßtheoretisch orientierten Wahrscheinlichkeitstheorie im Umfang einer zweisemestrigen Vorlesung. Nach den Grundlagen werden Grenzwertsätze und schwache Konvergenz behandelt. Es folgt die Darstellung und Betrachtung der stochastischen Abhängigkeit durch die bedingte Erwartung, die mit der Radon-Nikodym-Ableitung realisiert wird. Sie wird angewandt auf die Theorie der stochastischen Prozesse, die nach der allgemeinen Konstruktion aus der Untersuchung von Martingalen und Markov-Prozessen besteht. Neu in einem Lehrbuch über allgemeine Wahrscheinlichkeitstheorie ist eine Einführung in die stochastische Analysis von Semimartingalen auf der Grundlage einer geeigneten Stetigkeitsbedingung mit Anwendungen auf die Theorie der Finanzmärkte. Das Buch enthält zahlreiche Übungen, teilweise mit Lösungen. Neben der Theorie vertiefen Anmerkungen, besonders zu mathematischen Modellen für Phänomene der Realität, das Verständnis.
Systemtheorie F R Stochastische Prozesse
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Author : Herbert Schlitt
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-02
Systemtheorie F R Stochastische Prozesse written by Herbert Schlitt and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Mathematics categories.
Student S T Distribution And Related Stochastic Processes
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Author : Bronius Grigelionis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-18
Student S T Distribution And Related Stochastic Processes written by Bronius Grigelionis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-18 with Mathematics categories.
This brief monograph is an in-depth study of the infinite divisibility and self-decomposability properties of central and noncentral Student’s distributions, represented as variance and mean-variance mixtures of multivariate Gaussian distributions with the reciprocal gamma mixing distribution. These results allow us to define and analyse Student-Lévy processes as Thorin subordinated Gaussian Lévy processes. A broad class of one-dimensional, strictly stationary diffusions with the Student’s t-marginal distribution are defined as the unique weak solution for the stochastic differential equation. Using the independently scattered random measures generated by the bi-variate centred Student-Lévy process, and stochastic integration theory, a univariate, strictly stationary process with the centred Student’s t- marginals and the arbitrary correlation structure are defined. As a promising direction for future work in constructing and analysing new multivariate Student-Lévy type processes, the notion of Lévy copulas and the related analogue of Sklar’s theorem are explained.