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Forum: Probability 11-22-2007, 09:32 AM
Replies: 35
Views: 304
Posted By jason1990
Re: Standard Deviation Question

For any random variable X, E[X] is only defined when E[|X|] is finite. So in this case, E[Z_j] is undefined. It is similar to to the fact that, in elementary calculus, the (improper) integral from -1...
Forum: Probability 11-22-2007, 09:09 AM
Replies: 35
Views: 304
Posted By jason1990
Re: Standard Deviation Question

[ QUOTE ]
[ QUOTE ]
[ QUOTE ]

eh, doesn't everything converge to the normal?

[/ QUOTE ]

No.
Forum: Probability 11-22-2007, 08:41 AM
Replies: 12
Views: 366
Posted By jason1990
Re: A Few Random Walk Questions

You are measuring one stochastic process in terms of another, which tends to complicate things. It may be clearer if you measure both USD and EUR in terms of some fixed quantity, say the 2000 USD....
Forum: Science, Math, and Philosophy 11-11-2007, 08:50 AM
Replies: 5
Views: 49
Posted By jason1990
Re: Math: Need help regarding the Kelly criterion

[ QUOTE ]
Thanks for all the work you have done, jason1990, but the math is too complicated for me. So I wondered if you could show how a neanderthal like me should go about calculating how big my...
Forum: Science, Math, and Philosophy 11-10-2007, 08:56 PM
Replies: 5
Views: 49
Posted By jason1990
Re: Math: Need help regarding the Kelly criterion

When you take money out to pay bills, do you generally take out the same dollar amount each unit of time, or do you take out the same percentage of your bankroll each time? If it is the latter, then...
Forum: Probability 11-10-2007, 03:36 PM
Replies: 9
Views: 101
Posted By jason1990
Re: Infinite bankroll paradox

[ QUOTE ]
just like in a poker game you don't compare your current hand with past or future ones to get the EV of different actions. Rather, you *simulate* the exact hand a large number of times and...
Forum: Probability 11-09-2007, 08:34 AM
Replies: 9
Views: 101
Posted By jason1990
Re: Infinite bankroll paradox

Everybody wants EV. Play a +EV game, and earn "Sklansky bucks." Got a decision to make? Turn off your brain and pick the one with the highest EV. EV, EV, EV. It is all about EV.

Really, EV is just...
Forum: Probability 11-02-2007, 07:08 AM
Replies: 8
Views: 60
Posted By jason1990
Re: How likely is this to happen?

If 20 buy-ins is 1000 PTBB, then it appears you have used the formula correctly.

Here are some comments on the validity of the formula. It is based on a Brownian motion model. Brownian motion is...
Forum: Probability 11-01-2007, 04:23 PM
Replies: 23
Views: 258
Posted By jason1990
Re: A tough variance problem (at least for me)

This thread (http://forumserver.twoplustwo.com/showflat.php?Cat=0&Number=9616011&an=&page=0&vc=1) might be of interest to you.
Forum: Science, Math, and Philosophy 10-31-2007, 11:00 PM
Replies: 8
Views: 57
Posted By jason1990
Re: Mathematical Definition or Algorithm of a Drawdown

Define b_j = max(a_1,...,a_j) - a_j. The biggest drawdown is max(b_1,...,b_n).
Forum: Probability 10-14-2007, 07:55 AM
Replies: 13
Views: 83
Posted By jason1990
Re: LLN Question (FGators Question)

[ QUOTE ]
It was a misunderstanding in the first place, and I still don't think any definitions are wrong. From what I understand from the Gambler's ruin page, it didn't say that casinos would come...
Forum: Poker Beats, Brags, and Variance 10-10-2007, 07:12 AM
Replies: 382
Views: 1,572
Posted By jason1990
Re: Latest cliffsnotes on Absolute soulreading.

Well, that kind of SD is obviously not sustainable, for cheaters and honest players alike. If your calculation is correct, it simply suggests that the sample size is too small for an accurate measure...
Forum: Poker Beats, Brags, and Variance 10-10-2007, 06:24 AM
Replies: 382
Views: 1,572
Posted By jason1990
Re: Latest cliffsnotes on Absolute soulreading.

Poker Tracker does not calculate standard deviation correctly. It uses only the results of each session, and not the results of each hand. This has two effects. The major effect is that the SD it...
Forum: High Stakes Limit 09-30-2007, 09:14 AM
Replies: 5
Views: 66
Posted By jason1990
Re: Probability model for AP cheating

[ QUOTE ]
people who dont know poker well enough to just look at the series of hand histories and KNOW what they entail will find this no more compelling than a nub-tard blurting out percentages of...
Forum: High Stakes Limit 09-29-2007, 09:32 AM
Replies: 5
Views: 66
Posted By jason1990
Re: Probability model for AP cheating

Thanks for the input on N. Unfortunately, without p_f and p_c, it is not very useful. So far, no one has contacted me about quantifying their reasoning.

Let me expand a little on what is needed....
Forum: High Stakes Limit 09-28-2007, 08:03 AM
Replies: 5
Views: 66
Posted By jason1990
Probability model for AP cheating

This post is addressed to any of the high-stakes players that are convinced cheating took place on AP. Would any of you be interested in trying to transform your thought process which leads from the...
Forum: Probability 09-25-2007, 08:57 AM
Replies: 13
Views: 87
Posted By jason1990
Re: 99.99890581% chance that cheaters were operating on Absolute?

As DrVanNostrin said, you are generating a misleading analysis by not utilizing all of your observations. You must not only use all the hands you observed, but also all aspects of those hands (not...
Forum: Science, Math, and Philosophy 09-24-2007, 10:48 PM
Replies: 10
Views: 68
Posted By jason1990
Re: Another query about water/ice

http://f0rked.com/articles/supercooling

http://van.physics.uiuc.edu/qa/listing.php?id=1618
Forum: Science, Math, and Philosophy 09-20-2007, 10:01 PM
Replies: 61
Views: 255
Posted By jason1990
Re: Its Hard to Decipher....

[ QUOTE ]
if you want to advocate religion in the course of debating topics relevant to science, math, or philosophy, that's fine.

[/ QUOTE ]
Wow, I completely forgot that this was Science,...
Forum: Poker Beats, Brags, and Variance 09-18-2007, 02:51 PM
Replies: 168
Views: 808
Posted By jason1990
Re: Sign The Contract - You Get Stars/AP Money

Are you sure you want ALL their luck? That probably includes bad luck as well as good luck.
Forum: Science, Math, and Philosophy 09-17-2007, 08:13 AM
Replies: 36
Views: 184
Posted By jason1990
Re: SOLD!

Your original posts are very clear. You said,

[ QUOTE ]
The theory ... has been proclaimed extremely farfetched ... the proclaimers are COMPLETE MORONS.

[/ QUOTE ]
You did not say that those...
Forum: Science, Math, and Philosophy 09-16-2007, 09:23 AM
Replies: 36
Views: 184
Posted By jason1990
Re: SOLD!

[ QUOTE ]
It seems what you're getting at is that even experts in a particular field either forget or don't know how to apply proper math to form a given likelihood or conclusion. As a result, they...
Forum: Probability 09-11-2007, 06:54 AM
Replies: 9
Views: 73
Posted By jason1990
Re: functions of uncountably many variables

Consider the vector v = (3,1,7,9). Normally, we use subscript notation to denote its components:

v_1 = 3
v_2 = 1
v_3 = 7
v_4 = 9

But sometimes we use parentheses instead:

v(1) = 3
Forum: Science, Math, and Philosophy 09-05-2007, 08:02 AM
Replies: 6
Views: 50
Posted By jason1990
Re: Probability Question / Proof Needed (a toughie!)

[ QUOTE ]
At the same time however, all the talk about proof made me eager for another set of proofs...Maybe a proof that the chance of a quarter landing heads is 1 out of 2. Sure, flip the coin a...
Forum: Two Plus Two Internet Magazine 09-03-2007, 12:01 PM
Replies: 38
Views: 213
Posted By jason1990
Re: Poker is Good for You

There seem to be several negative reactions to this article throughout the forums. It may be that those who react positively are less likely to comment. So let me post my thoughts in an attempt to...
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