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Forums => Roulette Forum => Even chance => Topic started by: albertojonas on April 01, 2015, 11:18:26 PM

Title: Return to the Mean
Post by: albertojonas on April 01, 2015, 11:18:26 PM
Hello all.

Suppose you get 10 spins of an even chance, and compare them with the next ten spins. You will get at both extremes either 10 same or 10 different.
I test this with random.org and i will put here some examples so you can make your own observations and conclusions.

Timestamp: 2015-04-01 23:11:01 UTC
spins [823,852]

2 2 2 2 1 2 1 1 1 2
2 2 2 2 1 2 1 1 1 2
1 2 1 1 2 2 2 1 1 2

WLWWWLWLLL

[Edited to explain better]
Cheers
Title: Re: Return to the Mean
Post by: Tomla on April 01, 2015, 11:24:18 PM
so basically anything can happen ,,, either the dominant will slowly fade or fade very quickly---the devil is in knowing when

but the over dominant in the second set was much stronger in the first 10
Title: Re: Return to the Mean
Post by: albertojonas on April 01, 2015, 11:34:40 PM
Thing is that after a very strong imbalance you can expect correction to happen soon. And that means that you will win as the very strong imbalance tends to fade. This illustrates RTM.
There is no need to wait for a rare series as any set of 10 as the same probability.
If you can devise a betting algorythm to take advantage you will win most of the time. I personally flat bet.

yet another example
from yesterday's randomization

2 1 1 2 1 1 2 1 2 2
1 2 2 1 2 2 1 2 1 1 -second set is exact opposite of 1st set so there is huge std towards FTL bet
2 1 1 1 2 2 2 1 1 2 - we will bet the 3rd set will match 1st set

WWWLLLWWLW

One more

1221212222
2112121111
2121122122
LLWWLLWLWW

______________________________-

This is for illustration. One can compare OLD or FTL selections in different lenghts and for several ec's.
Title: Re: Return to the Mean
Post by: albertojonas on April 02, 2015, 12:06:45 AM
Correct me if i am wrong, but the above scenarios have the same probability of ten blacks followed by ten reds or twenty reds or twenty blacks...
Title: Re: Return to the Mean
Post by: Tomla on April 02, 2015, 12:29:01 AM
I would imagine yes--have you been noticing something alberto
Title: Re: Return to the Mean
Post by: Sputnik on April 02, 2015, 11:43:44 AM
I never forget this quote from WIKI:

"Regression toward the mean simply says that, following an extreme random event, the next random event is likely to be less extreme. In no sense does the future event "compensate for" or "even out" the previous event, though this is assumed in the gambler's fallacy (and variant law of averages). Similarly, the law of large numbers states that in the long term, the average will tend towards the expected value, but makes no statement about individual trials. For example, following a run of 10 heads on a flip of a fair coin (a rare, extreme event), regression to the mean states that the next run of heads will likely be less than 10, while the law of large numbers states that in the long term, this event will likely average out, and the average fraction of heads will tend to 1/2. By contrast, the gambler's fallacy incorrectly assumes that the coin is now "due" for a run of tails, to balance out."

So i run 1 million trails to see the worst and extreme for even money bets:

Low: 18 in a row (once)
High: 18 in a row (once)
Red: 19 in a row (once)
Black: 20 in a row (twice)
Odd: 18 in a row (twice)
Even: 18 in a row (once)
Title: Re: Return to the Mean
Post by: Bayes on April 02, 2015, 04:39:01 PM
Quote from: albertojonas on April 02, 2015, 12:06:45 AM
Correct me if i am wrong, but the above scenarios have the same probability of ten blacks followed by ten reds or twenty reds or twenty blacks...

Hi aj, nice to see you posting again. You are correct, there's no difference so no point in waiting for ten blacks/reds in a row (or any other trigger for that matter). I use a similar kind of moving template/pattern scheme myself, but probably in a slightly different way. I always revert to the start of the pattern after any win, I don't play it through to the end regardless.

Suppose my current pattern to bet against is R BBB RR B R (I generally pick a pattern between 8-10 spins long).

Here's a short example of how I adapt betting as the pattern unfolds.

1. Bet against R (element 1 of the pattern), so continue betting B until a R occurs.
2. R hits. Now I bet R because I'm betting against element 2 (B). So I just continue to bet R until a loss, which means a B has hit.
3. When B hits, I revert to step 1, so now betting B again.

So for a lot of the time, I'm betting FTL, it's only after losses that I'm actually betting against the pattern. I find that this keeps losses manageable and you get some great winning runs.

Of course, it can happen that the first part of the pattern repeats, in which case you will get quite a few more losses than wins, but a suitable progression will neutralize them, or you can just flat bet and make up the losses later when the winning runs come, and they always do. How I actually pick the current pattern is complex, but just using random patterns works pretty good too.



Title: Re: Return to the Mean
Post by: AsymBacGuy on April 03, 2015, 12:05:53 AM
Imo, Sputnik and Bayes provided very good replies.

I'd add the value of the decline in probability concept thanks to a past contribute of sxzbox (or something like that) member.

In a word and for the few who don't know the concept, rarer events tend to appear clustered at the start then their appearance will dilute.
Despite the original work (Spencer-Brown) didn't suggest a possible gambling advantage, I found that many rare occasions tend to be clustered, then deeply decreasing their frequency.

Since we cannot establish a "start" to many rare gambling situations, we should wait the times when they will appear very clustered, then betting toward the opposite events' apparition up to some point.

Curiously, at least at baccarat, some unfavourable rare situations will tend to follow such distribution, meaning that our "enemy" will come out very often or almost nothing at all.

as.   







 

Title: Re: Return to the Mean
Post by: Sputnik on April 06, 2015, 03:59:35 PM

I test this and got the code:

10 trails is 4.52 SD (20 in a row
11 trail is 4.74 SD ( 22 in a row
12 trails is 4.96 SD ( 24 in a row
13 trails is 5.16 SD ( 26 in a row
14 trails is 5.35 SD ( 28 in a row
15 trails is 5.54 SD  ( 30 in a row

This is when you take for example 10 random outcomes to match 10 future ones.

Is not working,
I run 2000 trails several times and when i up 20.000 trail almost all have hit 20, 22, 24, 26, 28

So this is not better then betting agains't 10 11 12 13 14 15 in a row
Title: Re: Return to the Mean
Post by: albertojonas on April 06, 2015, 11:28:43 PM
when you take for example 10 random outcomes to match 10 future ones, what you are getting is a string of wins or losses. On both extremes LLLLLLLLLL or WWWWWWWWW. So what we are really measuring is FTL bet result.
The example for ten random outcomes is 3,16std.

observing 10.000 outcomes, comparing 14 vs 14 on a rolling basis, these are the number of wins i got:

0   2
1   13
2   79
3   260
4   632
5   1214
6   1851
7   2081
8   1726
9   1169
10   633
11   234
12   69
13   10
14   0
Title: Re: Return to the Mean
Post by: albertojonas on April 13, 2015, 12:12:25 AM
using ftl to match last 10 outcomes, one can get a string of WL results. Those results act as an additional even chance outcome. Following this logic we can use 11vs11, 12 vs 12, etc... Generating as many EC possible bets as we want, shortening the periods of tracking.
This is particularly usefull for those who seek extreme events, std, marigny, rtm principles.
Cheers
Title: Re: Return to the Mean
Post by: Tomla on April 13, 2015, 09:48:07 PM
Albertojonas---most say to play against the last 8 or 10 decisions---are you saying to replay the last 10?  i have tested going against and it doesn't do well in my testing : )
Title: Re: Return to the Mean
Post by: albertojonas on April 13, 2015, 10:06:30 PM
Say u always compare last ten with next ten decisions.
After that u measure std or ecart (as marigny) and you decide to start play at 3.5 std.

I test this in random.org

13/04/2015
L(LL)(wwwww)+2
W +1
W +1
W +1
LL -2
WWWWWW +6
L -1
WWWW +4
----------------
12/04/2015
L
LL
LLLL
LLLLL
WWWWWWW
WWWW
W
(W)
----------------
11/04/2015
L
WW
L
WW
W
W
L
WW
W
L
WW
W
Title: Re: Return to the Mean
Post by: Drazen on April 14, 2015, 06:57:47 PM
My first test test was pretty interesting:

2 2 2 2 2 2 2 2 1 - first ten decisions
1 2 2 2 2 1 2 2 1 - second - start to bet against first formation
2 1 2 2 2 2 2 1 2- oh dear we run on pretty nasty storm here; - L W L L L L L L W W; continuing to bet against first formation
1 1 1 1 2 1 1 1 2 - ka boom; and the sun has shined hehe
---------------------------------------------------------------------------
+1 flat bet overall

Cheers
Title: Re: Return to the Mean
Post by: Sputnik on April 14, 2015, 08:00:50 PM

@albertojonas

I don't understand how you play FTL using RTM - can you explain step by step.

I understand how Drazen does with his example.

Now i will show you have i experiment, for example if i take 8 contra 8 (random events) then if i get 14 same and 2 oppisite i have 3.29 SD.
This means that if i only get same i am not betting as there is no RTM present, but after i have two oppisite to show i might bet.
That way i play agains't window of propability of 3.29 SD

Now i can change my benchmark to 4.08 SD window of probability that would be 11 contra 11

This is how it looks like: WWWLWWLLWWWLW


2
2
1
1
2
1
1
1

2 S
2 S
1 S
1 S
2 S
2 O
2 O
2 O W

2 S
2 S
2 O
1 S
1 O
1 O W
2 S
1 O

1 O
2 S
2 S
2 O
2 O W
2 O
1 O
2 O

1 S
1 O
1 O
2 S L
1 O W
2 S
2 O
2 S

2 O
1 S
1 S
2 S
1 S
1 O
1 O W
1 O

1 O
1 S
1 S
2 S
2 O
1 S L
1 S L
2 O W

1 S
2 O
1 S
2 S
1 O
2 O W
1 S
2 S

2 O
1 O
2 O W
1 O
2 O
2 S
2 O
2 S

1 O
1 S
1 O
1 S L
1 O W.
1 O
1 O
1 O


(http://i58.tinypic.com/2yk1flh.jpg)
Title: Re: Return to the Mean
Post by: albertojonas on April 14, 2015, 10:55:49 PM
To clarify what i am sugesting. This is how i get the string of wins and losses, a W L registry. I always compare present spin with the 10th last.
example:

2   
2   
1   
1   
2   
1   
1   
1   
2   
2   
1   L
1   L
2   L
2   L
2   W
2   L
2   L
2   L
2   W
1   L
1   W
1   W
2   W
1   L
1   L
2   W
2   W
2   W
2   W
2   L
1   W
2   L
1   L
1   W
1   W
2   W
1   L
2   W
2   W
2   W
2   L
Title: Re: Return to the Mean
Post by: albertojonas on April 14, 2015, 11:19:03 PM
and this is what i observe:

1   -   1   W      
2   -   2   L      
3   -   2   W      
4   -   1   L      
5   -   1   L      
6   -   2   L      
7   -   2   W      
8   -   1   W      
9   -   1   W      
10   -   1   W      
11   -   2   L      
12   -   1   L      
13   -   2   W      
14   -   2   L      
15   -   2   L      
16   -   1   L      
17   -   2   W      
18   -   2   L      
19   -   2   L      
20   -   2   L      
21   -   1   L      
22   -   2   L      
23   -   1   L      
24   -   2   W      
25   -   2   W      
26   -   1   W      
27   -   2   W      
28   -   2   W      
29   -   1   L      
30   -   2   W      
31   -   1   W      
32   -   1   L      
33   -   1   W      
34   -   2   W      
35   -   2   W      
36   -   1   W      
37   -   2   W      
38   -   1   L      
39   -   1   W      
40   -   2   W      
41   -   1   W      
42   -   1   W      
43   -   1   W      
44   -   2   W      
45   -   2   W      
46   -   1   W   window of 23 spins +3,54 ecart   bet 1 unit on loss
47   -   1   L      +1
48   -   1   W      
49   -   1   W   window of 26 spins +3,53 ecart   bet 1 unit on loss
50   -   2   W   window of 26 spins +3,53 ecart + window of 27 spins 3,66 ecart   -1 / bet 2 units on L
51   -   1   W   window of 26,27,28,29 spins with ecarts 3,53 | 3,66 | 3,78 | 3,53   -2 (-3 total) | bet 4 units on L
52   -   2   L   window of 29 spins +3,53 ecart   +4 (+1 total) | bet 1 unit on L
53   -   2   L      +1 (+2 total)
54   -   1   L      
55   -   2   W      
56   -   1   W      
57   -   1   W      
58   -   1   W   windows 35, 36, 37, 38 with exact same scenario as above ...   
59   -   1   W      
60   -   2   W      
61   -   2   L      
62   -   1   L      
63   -   1   L      
64   -   1   W      
65   -   2   W      
Title: Re: Return to the Mean
Post by: tdx on April 15, 2015, 03:55:02 PM
Might also apply to baccarat as player and banker as opposed to even chance roulette......assuming you can come up with a winning method.
Title: Re: Return to the Mean
Post by: Sputnik on April 15, 2015, 06:03:53 PM
Quote from: albertojonas on April 14, 2015, 10:55:49 PM
To clarify what i am sugesting. This is how i get the string of wins and losses, a W L registry. I always compare present spin with the 10th last.
example:

2   
2   
1   
1   
2   
1   
1   
1   
2   
2   
1   L
1   L
2   L
2   L
2   W
2   L
2   L
2   L
2   W
1   L
1   W
1   W
2   W
1   L
1   L
2   W
2   W
2   W
2   W
2   L
1   W
2   L
1   L
1   W
1   W
2   W
1   L
2   W
2   W
2   W
2   L

I don't understand why you bet same after 10 random events - it should be different.

"Regression toward the mean simply says that, following an extreme random event, the next random event is likely to be less extreme. In no sense does the future event "compensate for" or "even out" the previous event, though this is assumed in the gambler's fallacy (and variant law of averages). Similarly, the law of large numbers states that in the long term, the average will tend towards the expected value, but makes no statement about individual trials. For example, following a run of 10 heads on a flip of a fair coin (a rare, extreme event), regression to the mean states that the next run of heads will likely be less than 10, while the law of large numbers states that in the long term, this event will likely average out, and the average fraction of heads will tend to 1/2. By contrast, the gambler's fallacy incorrectly assumes that the coin is now "due" for a run of tails, to balance out."
Title: Re: Return to the Mean
Post by: ozon on April 15, 2015, 10:19:02 PM
Hello Sputnik. If we assume that 10 events  is the extreme  that we can assume that the mild progression like this
112233445566....    stop  lose  210 units     Profit  target  1 unit
after 10  same events for a trigger,  using next 10  bets  window , bring us a profit.
Title: Re: Return to the Mean
Post by: albertojonas on April 16, 2015, 12:37:13 AM
https://www.random.org/integers/?num=5000&min=1&max=2&col=1&base=10&format=plain&rnd=date.2015-04-16
---
-21
+22
+7
+1
---
-1
+2
---
+1
---
+1
---
-1
+6
---
+17
Title: Re: Return to the Mean
Post by: albertojonas on April 16, 2015, 12:49:06 AM
https://www.random.org/integers/?num=5000&min=1&max=2&col=1&base=10&format=plain&rnd=date.2015-04-15
---
spin 462 bet W
+1
---
spin 963 bet w
-9
+7
-3
+5
+1
---
spin 972 bet w
+1
---
spin 3030 bet w
-1
+2
---
spin 4515 bet w
-1
-3
+7
+1
---
spin 4521 bet w
+1
---
spin 4968 bet w
-1
+2
---
+10
Title: Re: Return to the Mean
Post by: RouletteFan on April 16, 2015, 06:54:00 PM
hey alberto
can explain again the all process so i can make my oown test
thank
you wait ecart 3.5 to began to gamble

how you determine the cart with random number
you look 10 by 10?
do you make any progression or al the results are flat bet ?
Title: Re: Return to the Mean
Post by: RouletteFan on April 16, 2015, 07:10:27 PM
explain me how you play this one

1   -   1   W     
2   -   2   L     
3   -   2   W     
4   -   1   L     
5   -   1   L     
6   -   2   L     
7   -   2   W     
8   -   1   W     
9   -   1   W     
10   -   1   W     
11   -   2   L     
12   -   1   L     
13   -   2   W     
14   -   2   L     
15   -   2   L     
16   -   1   L     
17   -   2   W     
18   -   2   L     
19   -   2   L     
20   -   2   L     
21   -   1   L     
22   -   2   L     
23   -   1   L     
24   -   2   W     
25   -   2   W     
26   -   1   W     
27   -   2   W     
28   -   2   W     
29   -   1   L     
30   -   2   W     
31   -   1   W     
32   -   1   L     
33   -   1   W     
34   -   2   W     
35   -   2   W     
36   -   1   W     
37   -   2   W     
38   -   1   L     
39   -   1   W     
40   -   2   W     
41   -   1   W     
42   -   1   W     
43   -   1   W     
44   -   2   W     
45   -   2   W     
46   -   1   W   window of 23 spins +3,54 ecart   bet 1 unit on loss    HOW YOU FOUND 3.54   what is the trigger to began to gamble at spin 47?
47   -   1   L      +1
Title: Re: Return to the Mean
Post by: albertojonas on April 16, 2015, 11:44:42 PM
23 spins
20 wins
3 losses

20-3/sqrt23 <=> 17/4.79583 = 3.5447

As Win is the overreprsented event and Loss the underrepreseted.
Title: Re: Return to the Mean
Post by: albertojonas on April 17, 2015, 12:01:36 AM
Comparing 10vs10 is just a way of gettin a wl string. it works like an ec. And when you seek strong devitation as a trigger, 3 are not enough RB EO HL. this way you can speculate on the win/loss registry of as many ec's you want, making betting more frequent
Title: Re: Return to the Mean
Post by: Rolex-Watch on April 17, 2015, 09:14:09 AM
Quote from: Sputnik on April 15, 2015, 06:03:53 PM
"Regression toward the mean simply says that, following an extreme random event, the next random event is likely to be less extreme. In no sense does the future event "compensate for" or "even out" the previous event, though this is assumed in the gambler's fallacy (and variant law of averages). Similarly, the law of large numbers states that in the long term, the average will tend towards the expected value, but makes no statement about individual trials. For example, following a run of 10 heads on a flip of a fair coin (a rare, extreme event), regression to the mean states that the next run of heads will likely be less than 10, while the law of large numbers states that in the long term, this event will likely average out, and the average fraction of heads will tend to 1/2. By contrast, the gambler's fallacy incorrectly assumes that the coin is now "due" for a run of tails, to balance out."
Well stated.  I was discussing this with sqzbox earlier, soon afterwards I was walking past a Baccarat table and noticed an 8 Player streak, a rare / extreme event I would conclude, this was followed by a few chops, then a 16 P streak,

(only took me 20 mins to type that sentence due to lockups, hey Vic if you produce great software, why is the back engine of this site such a bag of sh1te?)
Title: Re: Return to the Mean
Post by: albertojonas on April 17, 2015, 11:09:03 PM
Quote from: Rolex-Watch on April 17, 2015, 09:14:09 AM
Well stated.  I was discussing this with sqzbox earlier, soon afterwards I was walking past a Baccarat table and noticed an 8 Player streak, a rare / extreme event I would conclude, this was followed by a few chops, then a 16 P streak,

(only took me 20 mins to type that sentence due to lockups, hey Vic if you produce great software, why is the back engine of this site such a bag of sh1te?)

Yes. And after those 16P streak, there were a few B's for sure, not another 16p streak for sure. And from those B's we are trying to take profit. =)