Question

Consider a random sample X1, X2, ..., Xn is from f(x) = e-(x-a) , x >...

Consider a random sample X1, X2, ..., Xn is from f(x) = e-(x-a) , x > a > 0.

A) Find the method of moments estimator for a

B) Find the MLE for a

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Answer #1

Giren, Xiy X- fix) e-in-a) Now Elx) ean Je-ndn I -7eJ + e47 atA e a aea ElN-1) Now. Ais Elx =EC)= nlara) 11 1 elX-1 = a X1ISBLiklihod cqaio is given by Celen-a) sinie th Tage is on parawetn re usual protedur Jilkclin ood Now ca ninst we me caleutahi

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