Question: Q2. Based on the complete sample (X1, X2, . . ., Xn), (a) Write down an expression for the likelihood function of 0 (2 marks).

Q2. Based on the complete sample (X1, X2, . . ., Xn), (a) Write down an expression for the likelihood function of 0 (2 marks). (b) Derive a scalar sufficient statistics for 0 (2 marks). (c) Find the Fisher Information about 6 (4 marks). Note that X follows some exponential distri- bution. (d) Find the MLE (Maximum Likelihood Estimator) of 0 and state its large-sample distribution (s marks)

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