1. Let x1,..., xn be a random sample from the Bin(5, 0) distribution f (x;; 0)...

 

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1. Let x1,..., xn be a random sample from the Bin(5, 0) distribution f (x;; 0) =(5 x₁) 0xi (1-0)5-xi where x₁ = 0,1,2,3,4,5 (a) Find the mle of 0. (b) Find the Fisher information I(0) (c) Is the variance of the mle equal to the CRLB? (Rao-Cramer Lower Bound) the (5 x;) part actually looks like like a binomial where 5 is on top and x; on bottom 1. Let x1,..., xn be a random sample from the Bin(5, 0) distribution f (x;; 0) =(5 x₁) 0xi (1-0)5-xi where x₁ = 0,1,2,3,4,5 (a) Find the mle of 0. (b) Find the Fisher information I(0) (c) Is the variance of the mle equal to the CRLB? (Rao-Cramer Lower Bound) the (5 x;) part actually looks like like a binomial where 5 is on top and x; on bottom

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a The likelihood function is given by L0 5x10 105x1 5x20 105x2 5xn0 105xn Taking the natural logarit... View the full answer