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Prob Matrix for binary sequence

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xplore29
xplore29 2013-3-14
for some integer 'n', I have a matrix M of size (2^n) x n containing all possible binary sequences. Another vector N of length 'n' that contains the probabilities of bit being zero. I want to compute the prob of each sequence without using for loops.
Example
n=2;
M = [0 0;0 1;1 0;1 1];
N = [Prob(N1=0)=0.3 Prob(N2=0)=0.2]
Prob(M1M2=00) = (0.3)*(0.2)
Prob(M1M2=01) = (0.3)*(1-0.2)
Prob(M1M2=10) = (1-0.3)*(0.2)
Prob(M1M2=11) = (1-0.3)*(1-0.2)

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回答（1 个）

Matt J
Matt J 2013-3-15
Probabilities = prod(bsxfun(@times,M,1-N) +bsxfun(@times,~M,N),2);
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Matt J
Matt J 2013-3-15
编辑：Matt J 2013-3-15
Not for me. I get the correct values.
>> M = [0 0;0 1;1 0;1 1];N=[0.3,0.2]; Probabilities = prod(bsxfun(@times,M,1-N) +bsxfun(@times,~M,N),2)
Probabilities =
0.0600
0.2400
0.1400
0.5600
Walter Roberson
Walter Roberson 2013-3-15
Note that the character before the M is the tilde, not subtraction.

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