Question: Suppose that we have two estimators, ^ 1 and ^ 2 of parameters 1 and 2 , respectively. Answer the following questions: If the two

Suppose that we have two estimators,

^1 and ^2

of parameters 1 and 2, respectively. Answer the following questions:

If the two estimators are both consistent,

(a) what would be consistent estimators of 21 + 2, 1 - 52, respectively?

(b) Could you construct consistent estimators of 1 * 2, 1 / (52) (where we

assume that 2 0), respectively too? Explain your answers briefly.

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