Let X1, ..., X, bei.i.d. random variable with pdf fe defined as follows: fo (2) =...

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Let X1, ..., X, bei.i.d. random variable with pdf fe defined as follows: fo (2) = 0x0-11(0<x< 1) where 0 is some positive num Using the MLE Ô, find the shortest confidence interval for 6 with asymptotic level 85% using the plug-in method. To avoid dou

math Statistics-And-Probability

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Answer 1

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ot o cual foll: likeli hood function of of us (vi) To L 121 of AL 1921 of on Talking on both side tog nlog t or & logui C dog Sel (d) : T (0) loq L - E M 2 O W E (const) son Cont. 7 D .

answered by: ANURANJAN SARSAM

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Answer 2

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Page 1 Ansured details As per given The lakelihood function is given by L (@(1)) = T fo (o) n 0-1 TI OY, n -> L(011) on T O-A Thus Page 2 P(-2/2 Jvco) co ôc Zd2JVO))= 1-0 Plô - z VÕ <Ocô CE HLV Vco) 1718)) 1-2 O୪ 4/ Since here 1-da = 0.855) K= 0.15 So

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