# What does expected value “given the data distribution” mean?

I am reading this tuorial on constrastive divergence and at the end of page 2 they define the expectation given the data. I am unclear on what this means? How is this different from regular expected value?

• Maybe they just mean the empirical mean? – kjetil b halvorsen Dec 16 '16 at 12:21
• of the sample ? – user2879934 Dec 16 '16 at 13:06
• It would be helpful to put the relevant equations in the question. In general "expected value given the data" would refer to a combination of this and this. – GeoMatt22 Dec 16 '16 at 14:25
• If I have found the part you mean, you misquote what it says there. It doesn't say "given the data" it says "given the data distribution". The distinction is important. – Glen_b -Reinstate Monica Dec 16 '16 at 23:33
• What is the distinction – user2879934 Dec 17 '16 at 0:47

The distribution F(X) in the question has population parameter vector $\Theta$. It's just a nonstandard notation.