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Old 08-30-2007, 12:39 AM
omgwtfnoway omgwtfnoway is offline
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Join Date: Aug 2006
Location: UCLA
Posts: 390
Default Re: Variance revisited HUCASH vs HUTRN

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The only thing I, and most of the people in this forum want to know about variance is how it affects our bankrolls.

[/ QUOTE ] yea me too, but it only makes sense to measure this effect in terms of a percentage or proportion of your bankroll.
take two husng players, a $5 player and a $50 player, they both have a winrate of 57%. by your definition, the $50 player experiences higher variance because he has larger monetary swings. you're wrong, since variance in husng is a direct function of winrate they have exactly the same variance relative to the buyin/bankroll which is what's important.
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As the tournament progresses, your stack is still worth the same $100, but the blinds have increased. Isn't this therefore a higher-variance situation?

[/ QUOTE ]as the blinds rise the individual tournament often becomes subject to higher variance but not because the stacks are shorter. the variance may increase because your effective edge becomes smaller. please don't forget that we're speaking of variance in husng in totality, it is purely a function of winrate and is totally independent of any individual hand/situation which you may or may not think has high variance.
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he swings in your bankroll are directly related to your winrate, but your winrate is dependent on the variance of the individual hands inside the tournament

[/ QUOTE ]winrate is generally independent of variance of individual hands in a cash game. two players may have identical winrates but nonidentical variance or vice versa.
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With a 60% winrate, you have a 60% chance of doubling up, and a 40% chance of going broke. On the cash table, there's a very wide possibility of results. At one extreme, you can lose your $100 and be broke. At the other extreme, you can double (or triple, or quadruple, or whatever, if he keeps rebuying), but most of the likely results over the same number of hands that you would play in a sit-n-go lie in the range between losing your buyin and gaining a buyin, for example, losing half your stack, or gaining 25%, or whatever.

[/ QUOTE ]typical std deviations for hu cash games like in the hundreds of ptbb/hundred hands. this is more than a buyin of deviation per hundred hands. after one hundred hands at std dev of only 100bb/100 you can expect to have gone broke 34% of the time starting from a $100 bankroll. this example uses an UNREASONABLY SMALL std deviation from the winrate.
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Call me crazy

[/ QUOTE ] ok, you're crazy