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4. (Extra credit) Let X., X2, Xrepresent a random sample from a Rayleigh distribution with pdf f(x, 9) ----**) a) Find the ma

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4. Let XrXzr. scouple from a with pdf as Xn be a randone Rayleigh distribution X @ e f(x,0) = 2 x70a the likelihood function forces L (O) 462,0) 15 Hi 7200 Xi I t - u u tu) $2,2 е 6 The 2 Exi looflikelihood fraclion for osFor MLE of cor we let I loqulay so n x2 = 0 t { 202 u n Ex2 3 ste 2002 < И - L an X2 Hence, MLE of on as n a 2 I Jih Qutil Given n = 10 x? = 1535.706 Hence the mourimum likelihood estimate of o 09 1535.706 Ex² Tel 20 = = 76.7853 Hence, cê = 76.

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