Q1. Let X1, ... , Xn be an independent random sample from Poisson(X). 2 n (i) Show that both X and -S2 are unbiased esti

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Q1 Let X1 Xn Be An Independent Random Sample From Poisson X 2 N I Show That Both X And S2 Are Unbiased Esti 1 (64.11 KiB) Viewed 15 times

Q1. Let X1, ... , Xn be an independent random sample from Poisson(X). 2 n (i) Show that both X and -S2 are unbiased estimators of l; n - 1 (2 marks) (ii) Calculate the CRLB with respective to l; (5 marks) (iii) Which estimator should be preferred and why? (3 marks) Q2. Let X1, , Xn be an independent random sample from the p.d.f. given by ө f(x; 0) = = 0 < 0 < x < 0. x2)