Foundations of Infinitesimal Stochastic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Infinitesimal Stochastic Analysis write by K.D. Stroyan. This book was released on 2011-08-18. Foundations of Infinitesimal Stochastic Analysis available in PDF, EPUB and Kindle. This book gives a complete and elementary account of fundamental results on hyperfinite measures and their application to stochastic processes, including the *-finite Stieltjes sum approximation of martingale integrals. Many detailed examples, not found in the literature, are included. It begins with a brief chapter on tools from logic and infinitesimal (or non-standard) analysis so that the material is accessible to beginning graduate students.
Foundations of Infinitesimal Stochastic Analysis
Foundations of Infinitesimal Stochastic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Infinitesimal Stochastic Analysis write by K. D. Stroyan. This book was released on 1986. Foundations of Infinitesimal Stochastic Analysis available in PDF, EPUB and Kindle.
Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces
Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces write by Kiyosi Ito. This book was released on 1984-01-01. Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces available in PDF, EPUB and Kindle. A systematic, self-contained treatment of the theory of stochastic differential equations in infinite dimensional spaces. Included is a discussion of Schwartz spaces of distributions in relation to probability theory and infinite dimensional stochastic analysis, as well as the random variables and stochastic processes that take values in infinite dimensional spaces.
Principles of Infinitesimal Stochastic and Financial Analysis
Principles of Infinitesimal Stochastic and Financial Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Principles of Infinitesimal Stochastic and Financial Analysis write by Imme van den Berg. This book was released on 2000. Principles of Infinitesimal Stochastic and Financial Analysis available in PDF, EPUB and Kindle. There has been a tremendous growth in the volume of financial transactions based on mathematics, reflecting the confidence in the Nobel-Prize-winning Black-Scholes option theory. Risks emanating from obligatory future payments are covered by a strategy of trading with amounts not determined by guessing, but by solving equations, and with prices not resulting from offer and demand, but from computation. However, the mathematical theory behind that suffers from inaccessibility. This is due to the complexity of the mathematical foundation of the Black-Scholes model, which is the theory of continuous-time stochastic processes: a thorough study of mathematical finance is considered to be possible only at postgraduate level. The setting of this book is the discrete-time version of the Black-Scholes model, namely the Cox-Ross-Rubinstein model. The book gives a complete description of its background, which is now only the theory of finite stochastic processes. The novelty lies in the fact that orders of magnitude -- in the sense of nonstandard analysis -- are imposed on the parameters of the model. This not only makes the model more economically sound (such as rapid fluctuations of the market being represented by infinitesimal trading periods), but also leads to a significant simplification: the fundamental results of Black-Scholes theory are derived in full generality and with mathematical rigour, now at graduate level. The material has been repeatedly taught in a third-year course to econometricians.
An Infinitesimal Approach to Stochastic Analysis
An Infinitesimal Approach to Stochastic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Infinitesimal Approach to Stochastic Analysis write by H. Jerome Keisler. This book was released on 1984. An Infinitesimal Approach to Stochastic Analysis available in PDF, EPUB and Kindle. This monograph uses Robinson's infinitesimal (i.e., nonstandard) analysis to study stochastic integral equations with respect to a Brownian motion. By using a combination of standard and infinitesimal methods, we obtain new results about stochastic integral equations which can be stated in standard terms.
