=+7.5. Suppose that a gambler with initial fortune 1 stakes a proportion 0 (0 <0 <1) of
Question:
=+7.5. Suppose that a gambler with initial fortune 1 stakes a proportion 0 (0<0<1)
of his current fortune: Fg = 1 and W, = 0F ., ,. Show that F ,, - II"_(1 + 0X,)
and hence that log F. - "[%= 108 +10g(1-02).
Show that F ,, - 0 with probability 1 in the subfair case.
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Related Book For 
Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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