Thanks again for the replies.
Quote from: Number Six on December 18, 2013, 01:04:44 AM
The problem is that if true independence exists between random outcomes then nothing can be defined until after the fact
Does true independence have to exclude all definitions of knowledge of future facts? Albalaha alludes to regression to the mean - notwithstanding whether it has an advantage or not, but a phenomena like that does give us knowledge of future events. Surely that is undeniable?
If Event A is an extreme event, we can 'depend on that for knowledge' about the following Event B, namely that it is more likely to be closer to the average. I'm not saying we can beat roulette with that information, but it seems undeniable that we have gained some knowledge of future events by looking at past events & there's nothing fallacious going on..
It seems a common enough mundane phenomena, no magic or crystal ball needed, and it doesn't seem to contradict the fact that all spins are still independent and the wheel still has no memory because Event A doesn't cause Event B.
Keynes -
"..there are certain classes of phenomena,
in which, though it is impossible to predict what will happen in each
individual case, there is nevertheless a regularity of occurrence if the
phenomena be considered together in successive sets.."
Is it not an advantage to know that the next set of x spins is more likely to be closer to the average? So future questions could be how to take advantage of it, thinking in terms of 'the next x spins'. 'What is the best value of x?' etc.
(Albalaha - I think your sentiment is that RTM cannot lead to winning more than you lose, and I agree - I've seen experiments with positive progressions, attempts to flatbet after a deviation etc, but I don't see how they fit in at all with regression to the mean. It makes no mention of 'catching-up' so why should you be able to win flatbetting? Similarly, why would a positive progression work any better? They seem to go beyond the information that RTM gives.)
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As for lowering the variance in relation to the edge, techincally yes, they are connected of course. Where you play in a state of low variance, you are actually at or reducing the house edge, or even gaining an edge. The bigger the edge, the lower the variance. Unfortunately, mostly any positive variance is simply due to luck.
In my mind, aiming for lower variance (or I should say lower volatility), this would also imply lowering positive variance, as I don't imagine it would be possible to lower one side of the equation without affecting the other..
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The variance can actually be calculated for each bet and if you can consistently play in that low variance state, yes you could also win long term without an edge while using a soft progression. The drawdowns would still be big though, huge even; you would need a big BR to get through them and be prepared to sit many hours at the wheel to get to a new high. Not everyone has the stones for that. In fact even with a edge, it's still possible to go bust in some circsumstances (due to unforseen volatility). With perfect expectation you should win 1 in every 2 ECs, with a loss every now and then on green. The variance comes into play when the gaps between winners gets longer, and sometimes consistently remain unusually long for hundreds or thousands of spins.
The more you play the more likely you are to encounter worse-than-before variance. There is no low level or high level, you can just never test enough to find them, it's like trying to reach the edge of the universe (if you believe that the universe expands faster than you could ever travel). But if you have an edge or a bet that even reduces the edge in some way then the worst variance would be much lighter than a random selection for sure. All random selections would, on the other hand, be identical.
Thanks for this - I think it helps to have even a vague idea of what you're looking for just in case you happen to bump into it, but wouldn't actually recognize it.
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As a sidenote, nothing can be gained from using fallacious triggers based on previous EC patterns (not saying you're doing that).
Are all triggers naturally fallacious? Are there any types that aren't?
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But if you want my advice and you're still looking for a solution, you're best to look at straight up numbers, that is what the game is after all. All the other bets are just there for convenience. Becoming au fait with the individual numbers may open up a new world where conditional situations can be proved to be effective.
Thanks