What is...? Seminar - Ethan Ackelsberg

Title: What is the Arcsine Law?

Speaker: Ethan Ackelsberg (Ohio State University)

Abstract: We shall encounter theoretical conclusions which not only are unexpected but actually come as a shock to intuition and common sense. They will reveal that commonly accepted notions concerning chance fluctuations are without foundation and that the implications of the law of large numbers are widely misconstrued. For example, in various applications it is assumed that observations on an individual coin-tossing game during a long time interval will yield the same statistical characteristics as the observation of the results of a huge number of independent games at one given instant. This is not so...

Seminar URL: https://math.osu.edu/whatis