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Volume 5, Issue 1, January 2016, Page: 23-26
A Review on ‘Probability and Stochastic Processes’
Bodo Herzog, Department of Economics, Reutlingen University, Reutlingen, Germany; ESB Business School, Reutlingen University, Reutlingen, Germany; RRI Reutlingen Research Institute, Reutlingen, Germany
Received: Jan. 17, 2016;       Accepted: Jan. 26, 2016;       Published: Feb. 16, 2016
DOI: 10.11648/j.ajtas.20160501.14      View  4333      Downloads  139
Abstract
This paper is a commentary on the book ‘Probability and Stochastic Processes’ from Ionut Florescu. The book is an excellent introduction to both probability theory and stochastic processes. It provides a comprehensive discussion of the main statistical concepts including the theorems and proofs. The introduction to probability theory is easy accessible and a perfect starting point for undergraduate students even with majors in other subjects than science, such as business or engineering. The book is also up-to-date because it includes programming code for simulations. However, the book has some weaknesses. It is less convincing in more advanced topics of stochastic theory and it does not include solutions to excises and recent research trends.
Keywords
Probability Theory, Stochastic Processes, Simulation of Stochastic Processes
To cite this article
Bodo Herzog, A Review on ‘Probability and Stochastic Processes’, American Journal of Theoretical and Applied Statistics. Vol. 5, No. 1, 2016, pp. 23-26. doi: 10.11648/j.ajtas.20160501.14
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Florescu, I., Probability and Stochastic processes, John Wiley & Sons, 1 ed., 2015.
[2]
Yates, R. D. and Goodman, D. J., Probability and Stochastic Processes, John Wiley & Sons, 2004.
[3]
Yates, R. D. and Goodman, D. J., Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, John Wiley & Sons, 2014.
[4]
Parzen, E., Stochastic Processes, Dover Publications, 2015.
[5]
Karatzas, I. and Shreve, S. E., Brownian Motion and Stochastic Calculus, Springer Press, 1998.
[6]
Baldeaux, J. and Platen, E., Functionals of Multidimensional Diffusions with Applications to Finance, Spring Press, 2013.
[7]
Yang, X., On the large deviation principle of generalized Brownian bridges, Journal of Mathematical Analysis and Applications, Vol. 430, No. 2, p. 845-856, 2015.
[8]
Guenther, M. and Juengel, A., Finanzderivate mit MATLAB, Mathematische Modellierung und numerische Simulation, Vieweg-Teubner Verlag, 2010.
[9]
Okstendal, B., Stochastic Differential Equations, Spring Press, 2003.
[10]
Holden et al., Stochastic Partial Differential Equations, Springer Press, 2010.
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