

Principle Seminar of the Department of Probability Theory, Moscow State University
November 9, 2016 16:45, Moscow, MSU, auditorium 1224






Leibniz differential and the St. Petersburg paradox.
E. V. Shchepin^{} ^{} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract:
The report will be explained how strictly to introduce the concept of the infinitesimally small probability, so that, in particular, resolves the St. Petersburg paradox. Will be described infinitesimal structure, more subtle than the measure should have a probability space allowing for the introduction of probability (possibly infinitesimal) for all elementary events. This infinitesimally structure is multiplicative. So, in particular, it have infinite products of finite spaces. And all of this is directly related to the concept of Leibniz differential and PerronStilties integral, as described by the author in the paper.

