Strong approximation of the St. Petersburg game

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On the rate of convergence of the St. Petersburg game

We investigate the repeated and sequential portfolio St.Petersburg games. For the repeated St.Petersburg game, we show an upper bound on the tail distribution, which implies a strong law for a truncation. Moreover, we consider the problem of limit distribution. For the sequential portfolio St.Petersburg game, we obtain tight asymptotic results for the growth rate of the game.

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ژورنال

عنوان ژورنال: Statistics

سال: 2017

ISSN: 0233-1888,1029-4910

DOI: 10.1080/02331888.2016.1269476