Question: Consider a sample (1; ... ; ) with exponential distribution of parameter . We pose for all 1 , = 1 if > 1 and

Consider a sample (1; ... ; ) with exponential distribution of parameter . We pose for all 1 , = 1 if > 1 and = 0 otherwise

(1) Recall the distribution function of an exponential distribution of parameter . (2) Calculate ( > 1). (3) Show that is an unbiased estimator of - from the previous question. (4) Calculate its risk.

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