The average shoe's texture
The average shoe is any shoe dealt where a given probability to be ahead of something will be very close to 100% as some patterns MUST happen (as their probability to happen roams around low/moderate levels of deviation): It's just a matter of time that trigger patterns will happen; technically this is just a permutation issue artificially emphasized by raising the probability of success and by taking care of the "clustering/isolated" effect.
Suppose we have two different patterns: A having a 0.75 probability and B getting a 0.25 probability to appear.
Say that per any shoe belonging to this category there are 12 possible patterns we're interested at.
Thus out of 12 fighting situations, 8 will be A and 4 will be B.
Arrange the A/B successions whatever you want and you'll see that it'll impossible to build a sequence not getting at least one clustered A event.
Now we want to decrease the number of A by one point, that is now A=7 and B=5.
Again AA must come out at least one time and whether this is the case we'll get a lot of B isolated results.
Let's take a further step, now abandoning the "average" category: i.e. A=6 and B=6.
In this example A could show up everytime as isolated (as well as B) so forming only those two successions out of 4096 possible combinations:
1) ABABABABABAB or 2) BABABABABABA
So just those two combinations prevent the AA formation.
Going down one more step: A=5 and B=7.
Now it's sure as hell that B will come out at least one time clustered, but this doesn't deny the possibility to get A clustered.
Assuming an average 12 fighting pattern range, shoe situations where A=4 or less and=8 or more can be safely discarded from the possibilities panorama.
Naturally I haven't mentioned the positive deviation counterpart, that is when A=9 and B=3, or A=10 and B=2, or A=11 and B=1, or finally when A=12 and B=0.
It's of particular interest to understand that wholly considered and itlr the number of A will be equal or even inferior to the number of B, underlining again that it's the average distribution that matters and not the numbers.
More precisely, the sd values of the distribution's shape of certain patterns.
as.
The average shoe is any shoe dealt where a given probability to be ahead of something will be very close to 100% as some patterns MUST happen (as their probability to happen roams around low/moderate levels of deviation): It's just a matter of time that trigger patterns will happen; technically this is just a permutation issue artificially emphasized by raising the probability of success and by taking care of the "clustering/isolated" effect.
Suppose we have two different patterns: A having a 0.75 probability and B getting a 0.25 probability to appear.
Say that per any shoe belonging to this category there are 12 possible patterns we're interested at.
Thus out of 12 fighting situations, 8 will be A and 4 will be B.
Arrange the A/B successions whatever you want and you'll see that it'll impossible to build a sequence not getting at least one clustered A event.
Now we want to decrease the number of A by one point, that is now A=7 and B=5.
Again AA must come out at least one time and whether this is the case we'll get a lot of B isolated results.
Let's take a further step, now abandoning the "average" category: i.e. A=6 and B=6.
In this example A could show up everytime as isolated (as well as B) so forming only those two successions out of 4096 possible combinations:
1) ABABABABABAB or 2) BABABABABABA
So just those two combinations prevent the AA formation.
Going down one more step: A=5 and B=7.
Now it's sure as hell that B will come out at least one time clustered, but this doesn't deny the possibility to get A clustered.
Assuming an average 12 fighting pattern range, shoe situations where A=4 or less and=8 or more can be safely discarded from the possibilities panorama.
Naturally I haven't mentioned the positive deviation counterpart, that is when A=9 and B=3, or A=10 and B=2, or A=11 and B=1, or finally when A=12 and B=0.
It's of particular interest to understand that wholly considered and itlr the number of A will be equal or even inferior to the number of B, underlining again that it's the average distribution that matters and not the numbers.
More precisely, the sd values of the distribution's shape of certain patterns.
as.