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Cinitiator
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Homework Statement
I have a couple of notation interpretation questions:
1) What does [tex]f_X(x|θ)[/tex] represent in this case? The realization function of of our random vector X for some value x and a parameter θ (so that if our random vector has n random variables, its realization vector will be a subset of R^n)? Or is something else represented here?
2) If our (non-parametrized) statistical model is based on some random vector X with n random variables, will it contain realization functions of the random vector, or rather the random variable functions which the said vector contains?
3) In case of parametrized models: Is the statistical model set (let's name it P) a set of functions under every parameter space possible? And what do these functions represent? Are they assumed to have a fixed input? Are they realizations of a random vector under every single parameter in the parameter space? Or are they random variable functions which belong to our random vector?
Homework Equations
The Attempt at a Solution
Trying to interpret it in different ways, but not knowing which interpretation is the correct one.