Need help on structuring a problem with stochastic algebra...
Thu, 03/12/2015 - 11:26 am
I am stuck at structuring the general outline of a programming project and could use some fresh thoughts :)
I have a value D = 12.03
Then I have a set of other values
H1 = 11.91
H2 = 11.91
H3 = 10.54
H4 = 15.23
which should be substituting the value "D" depending on their similarity to "D".
I have therefore calculated probabilities, which value H1-H4 would be best suited as substitution for "D", using the following formula:
Px = (1-Hx/(H1+H2+H3+H4)/3)
P1 = 0.325
P2 = 0.325
P3 = 0.236
P4 = 0.117
So far everything went well - now the problem is: There is another condition for the usability of H1-H4 as substitution for "D", I designate this S1-S4:
S1 = 0.59
S2 = 5.5
S3 = 3.0
S4 = 24.8
I now want to modulate the calculated probabilites P1-P4, taking into account the additional information given by S1-S4.
How can this be achieved?
I thought about calculating the probabilities in analogy to P1-P4 as P1b-P4b and then simply add the probabilities up and divide by 2 to make them sum up to 1 again:
P1_total = (P1 + P1b)/2
P2_total = (P2 + P2b)/2
P3_total = (P3 + P3b)/2
P4_total = (P4 + P4b)/2
Would this be correct? Or should the probabilities be multiplied or otherwise processed?
Thank you very much in advance for any help! :)