Let 1 stand for the indicator function: 1A (2) = 1 if x E A, 14(X) = 0 if EA 4. Let X1, ...,X, be independent random s
Posted: Sun Sep 05, 2021 5:11 pm
4. Let X1, ...,X, be independent random samples from a Poisson dis- tribution with mean > 0. Recall that _1X, Poi(ne). Show that n-12-11(X; = 0) is unbiased for e-o =P(X1 = 0). Explain how will you improve upon this estimator. You need not calcu- late the improved estimator explicitly.