Number of Illustrations : 24 b/w illustrations, 21 illustrations in colour Hardcover ISBN : 978-7-4 Published: 18 December 2015 Series Title : Springer Texts in Business and EconomicsĮBook Packages : Economics and Finance, Economics and Finance (R0)Ĭopyright Information : Springer International Publishing Switzerland 2016 2 (2), 2016)īook Title : Stochastic Processes and Calculusīook Subtitle : An Elementary Introduction with Applications Ferreira, Acta Scientiae et Intellectus, Vol. Very important for readers in the fields of mathematics, finance and econometrics and also in biology, engineering or physics, but not only.” (Prof. … book is therefore a very successful work on the task of providing the largest number of readers an introduction to stochastic processes and calculus simultaneously accessible and rigorous, with a wide exemplification of applications in various fields. “The construction of this book is based on the author experience of 15 years of teaching stochastic processes and calculus. … All this is very much up to date and provides a most useful introduction to modern time series methods for anybody wishing to understand the mechanics without having to dig too deep into the mathematical foundations.” (Walter Krämer, Statistics Papers, Vol. “The book covers both discrete and continuous time stochastic processes, and it is of course in the second area where mathematical intricacies abound. The book might then serve as starting point for a more detailed study of the mathematical foundation of the topics presented.” (Ludger Overback, Mathematical Reviews, October, 2016) Also, a mathematician might benefit from an intuitive exposition of some different and specific types of integration appearing in the theory of stochastic processes. “The book is quite readable and can be used as a textbook for the application of mathematical theory in the area of econometrics. Thus the virtual text - augmented with more than 60 basic examples and 40 illustrative figures - is rather easy to read while a part of the technical arguments is transferred to the exercise problems and their solutions. In order to meet both requirements jointly, the present book is equipped with a lot of challenging problems at the end of each chapter as well as with the corresponding detailed solutions. On the other hand many of the procedures are presented at a technically advanced level: for a thorough understanding, they are to be proven. On the one hand it gives a basic and illustrative presentation of the relevant topics without using many technical derivations. This introduction is elementary and rigorous at the same time. Mathematical theory is applied to solve stochastic differential equations and to derive limiting results for statistical inference on nonstationary processes. Over the past decades stochastic calculus and processes have gained great importance, because they play a decisive role in the modeling of financial markets and as a basis for modern time series econometrics. Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha.This textbook gives a comprehensive introduction to stochastic processes and calculus in the fields of finance and economics, more specifically mathematical finance and time series econometrics. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Data Framework Semantic framework for real-world data.
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