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each case, find the maximum likelihood estimatorand the method-of-moments estimator 8. Please write your answer in terms of m or U j(x;0)=2)xe"/, 0<<00, 0<8<00. 1 The maximum likelihood estimator : m/2 You are correct. Previous Tries Your receipt no. is 159-4934 The method-of-moments estimator : m/2 You are correct. Previous Tries Your receipt no. is 159-2602 f(:0)= (3)2e, 0<<00, 0<0<o0. 2 m/3 The maximum likelihood estimator You are correct. Previous Tries Your receipt no. is 159-9707 The method-of-moments estimator m/3 You are correct. Previous Tries Your receipt no. is 159-3014 3. f(x:0) ()e--00<00, -00<0<00. HINT: Finding involves minimizing -,v 5,do it for 1 6.1,02=-1.1,33.2,4 0.7,x1.7, and you will see which is a difficult problem. When n = the answer. (See also Exercise 2.2-10.) When n is odd, the maximum likelihood esti mator : v You are correct. Previous Tries Your receipt no. is 159-2144 When n is even, the maximum likelihood estimator is not unique. True You are correct. Previous Tries Your receipt no. is 159-7935 The method-of-moments estimator: I Submit Answer Incorrect. Tries 3/5 Previous Tries EPost Discussion Send Feedback

Answer 1

solution : fon:o) = 2 e be-col wences, coco f(x) = See fonso tu = + 1 x Ex-adu u xolde] -=[%c Semte - Sena Senda Dobu)] trees te (usen de- scaux senda) do]} - the [xer-seada ] + e[-xe* + Seda] } -* feltee" 1% +ef-xeeT03 -Felce e-o+0]+e°C-o-o-oeste y 3 ser? see (0-1)+e®c®(041)? -{ [0+1+0+1 3 = 20 E(X)= 0 be population mean Lot ex=hexi be sample mean. by method of moment E(x) = h 22;=m o=m NI NI Nt