Question: A random variable X has PDF f (x; ) = 1 2 e|x| , < x < ,

A random variable X has PDF f (x; θ ) = 1 2

e−|x−θ|

, − ∞ < x < ∞, −∞ <θ< ∞.

Obtain the ML estimates of θ based on a random sample X1, X2,..., Xn.

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