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Final Remarks

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2067)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Nelson, E.: Radically elementary probability theory. Annals of Mathematics Studies, vol. 117. Princeton University Press, Princeton, NJ (1987)

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© 2013 Springer-Verlag Berlin Heidelberg

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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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