b) Let Y, Y2, ..., Yn denote a random sample from N(0,0) distribution with probability density function: 1 f(y;0) = e 20

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B Let Y Y2 Yn Denote A Random Sample From N 0 0 Distribution With Probability Density Function 1 F Y 0 E 20 1 (25.96 KiB) Viewed 205 times

b) Let Y, Y2, ..., Yn denote a random sample from N(0,0) distribution with probability density function: 1 f(y;0) = e 20 V2πθ i) Show that fly;0) belongs to the 1-parameter exponential family. (5) ii) What is the complete sufficient statistic for 0? Justify your answer. (2) iii) Show whether or not, the maximum likelihood estimator Ô is an unbiased estimator of e. (6) iv) Does the estimator attains the minimum variance unbiased estimator of e. (6)