Please explain where the sum of (Xi -n ))in line 4 of the solution comes from. Thanks

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Please explain where the sum of (Xi -n ))in line 4 of the
solution comes from. Thanks

Please Explain Where The Sum Of Xi N In Line 4 Of The Solution Comes From Thanks 1 (12.58 KiB) Viewed 169 times

Please Explain Where The Sum Of Xi N In Line 4 Of The Solution Comes From Thanks 2 (22.3 KiB) Viewed 169 times

Let X1, X2,..., X, be a random sample from a distribution with pdf fx (c) = 0 (1 - 0)2-1 for x >1. Find the maximum likelihood estimator for 0.

L(@) = [F(X: ) = İT 0 (1 - (1 - )X- Or L(8) = (1 -*-.0(1 - 0)*.-...(1 - 0)*.-1 = "1-8).*+X+...+X. log (8) = n log + dlog L (0) 3 x - n kog1 – 0) * + (Ex --] 4-6 (1 - 0) -- Ë x -- 0(1-8) Set dlog L (0) = 0 8P n(1-0)- -X 0 • [Ex: -- n=18-0X: + n = . : 0 12 IM = =