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

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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 1 (5.39 KiB) Viewed 70 times

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 2 (19.08 KiB) Viewed 70 times

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 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.