On the rate of convergence of the St. Petersburg game

نویسندگان

  • László Györfi
  • Péter Kevei
چکیده

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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عنوان ژورنال:
  • Periodica Mathematica Hungarica

دوره 62  شماره 

صفحات  -

تاریخ انتشار 2011