You have a random sample,Xi,X2.X, from the uniform distribution over -a,a),where

Question

You have a random sample,Xi,X2.X, from the uniform distribution over -a,a),where a is a parameter that you want to estimate. To do this, you note that the joint distribution of the X's is equal to, (1/2a)", a 2 max(|xil) 0, other wise Viewing this as a function ora, you notice that it is maximized by setting -mar(Irl). In your dataset, you note that mar2.3 so you make this your estimate. This procedure exemplifies Select one: a. Ordinary least squares estimation b. Method of moments estimation O c. Maximum likelihood estimation d. Interval estimation e. Operationalization

Explanation / Answer

Here pdf of X is maximum when alpha is max|xi|. So  max|xi| is Maximum Likelihood Estimetor of alpha . so our answer is c.Maximum Likelihood Estimetion.

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