The Short Term Is The Long Term
moo321 said:
For ****'s sake, I've explained this three times, and I'm getting sick of explaining it. Whatever the hell formula you're using is wrong, because eternal risk of ruin is always infinite. ALWAYS. Nothing to argue about, because the chance of any sized negative fluctuation is 100% given an infinite number of hands.
The number you're quoting for "lifetime risk of ruin" is either based on a wrong formula, or it's assuming a number of hands that you aren't aware of. Has anyone even posted the formula they're using?
It's no different than trying to state the lifetime risk of ruin for General Motors. What are the odds that General Motors will ever go bankrupt? THERE'S NO WAY TO KNOW! You can guess, over the next year, next thirty years, next 100 years. But there's no magical number for eternity.
Simple SD formula
this is based on a real game
6 deck h17 wonging, flat bets, 10g bank, fixed Kelly betting (13.53 ror)
variance times square root of number of hands
1.50 times square root of number of hands 1000 (10 hrs. short term)
sd=47
times a flat bet of $50
10 hour SD is bet times SD (47 times 50) = $2350
hourly win $25
win for 10 hrs = $250
$250 + or - 1 sd (68% of time) -$2100 to $2600
2 sd (95% of time) -$4450 to $4950
3 sd (99.7% of time) -$6800 to $7300
Hopefully this shows that the short term is the long term. If someone has a 10g bank and is playing in this game then they can lose a very large part of their bank in just 10 hrs. This is for fixed Kelly betting if you bet twice Kelly these numbers go up and as I stated previously you double your win rate while more then trippling your ROR which is not a good idea.
This also illustrates my previous statement that if you are playing for a weekend and betting fixed Kelly then you need to bring about half your bank. The short term variance is so so so high that the lifetime ROR numbers are quite appropriate.
The general ROR formula is based on sound math that has been known for decades.