Q1. Let X1, ... , Xn be an independent random sample from Poisson(X). 2 n (i) Show that both X and -S2 are unbiased esti
Posted: Mon Apr 11, 2022 6:20 am
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)