Abstract
Nelson [60, Appendix] has proved that in a rigorous sense the concepts of radically elementary probability theory are equivalent to the concepts of the classical theory of stochastic processes. For this reason, the radically elementary approach to stochastic calculus as presented in the present work has the same scientific content as the usual approach to the subject.
Keywords
- Stochastic Calculus
- Rigorous Sense
- Science Content
- Stochastic Processes
- Finite Probability Theory
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Nelson, E.: Radically elementary probability theory. Annals of Mathematics Studies, vol. 117. Princeton University Press, Princeton, NJ (1987)
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Herzberg, F.S. (2013). Final Remarks. In: Stochastic Calculus with Infinitesimals. Lecture Notes in Mathematics, vol 2067. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33149-7_10
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DOI: https://doi.org/10.1007/978-3-642-33149-7_10
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33148-0
Online ISBN: 978-3-642-33149-7
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