Discuss the interpretation of the values

Reference no: EM131830643

Continuing with the setup from the previous exercise we denote by P the probability measure with point probabilities, p(x, y), being the relative frequencies computed above. It is a probability measure on E₀ × E₀

Compute the point probabilities, p₁(x) and p₂(y), for the marginal distributions of P and show that X and Y are not independent.
Compute the score matrix defined as

332_score matrix.png

Discuss the interpretation of the values.

If (X, Y) have distribution P, S_X,Ycan be regarded as a random variable with values in a finite sample space (why?). Compute the mean of S_X,Y.
Assume instead that X and Y are in fact independent with distributions given by the point probabilities p₁(x) and p₂(y) respectively and compute then the mean of S_X,Y.

Reference no: EM131830643

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