(a) Explain how the likelihood function ensures learning from data as n→∞.

(b) Explain why the identity below is mathematically correct but probabilistically questionable:

explain how one can remedy that.

(c) Explain the difference between (i) Fisher’s sample and individual observation information and (ii) Fisher’s information and observed information matrix.

E a Inf(x;0) 00 2)} = {( E a In L(x)