That's the one. Elsewhere called "gambler's ruin", perhaps ... WFL On 12/29/12, Dan Asimov <dasimov@earthlink.net> wrote:
Is the Petersurg paradox that thing where if two people play coin toss (one player gets +1 for H, -1 for T, and vice versa for the other player), then as the number N of tosses -> oo, one might think that the most likely average score -- in terms of a probability density -- is 0, but in fact it's +-1 (i.e., the arcsin law") ???
--Dan
On 2012-12-29, at 5:21 AM, Fred lunnon wrote:
William Feller's classic book on probability analyses the behaviour of waves --- your "regimes" --- in the sum of a sequence of coin tosses; I think the general heading is something like the "Petersburg paradox".
Presumably the sequence of CF means behaves in a similar fashion. Is the corresponding higher-order behaviour known? And how well does your data fit the known modela?
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun