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February 16th, 2018, 03:13 PM   #1
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Two histograms correlation

I have histogram of even and odd bytes.
for example:
227: 40
131: 20
130: 11
129: 8
188: 5
128: 4
171: 4

227: 39
131: 20
130: 11
129: 9
128: 5
188: 5
171: 4

What is probability that all 256 variables is the same on both histograms?
Derivation:
We have coin with 0 and 1.
First we have 2*0 + 8 *1, in second 6*0 + 4*1
Hypothesis is average P(0)=0.4, P(1)=0.6
Now we must compute all going to less probability?
PA = P(2,8 )+P(1,9)+P(0,10)
and second PB = P(6,4)+P(7,3)+P(8,2)+P(9,1)+P(10,0)
and next P= PA * PB ? (but this means that maximal = 1/4?)

Situation complicated is coin has three values: 0,1 and 2
First: (3,2,5) second (1,6,3)->P(0)=0.2, P(1)=0.4, P(2)=0.4
We have triangle with (11*12)/2=66 fields. We must do two dimensional integral? For histogram we must do 255-dimensional integral?

Last edited by Borneq; February 16th, 2018 at 03:14 PM. Reason: disable smiling
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