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  • 24-05-2023
  • Mathematics
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1 1- = Let X1, ... , Xn denote a random sample of size n > 1 from a distribution with pdf f(x,0) = 3x470, 0 0 zero elsewhere. (a) Show that the geometric mean (X1, ... , Xn)1/n of the sample is a complete sufficient statistic for 0. (b) Find the maximum likelihood estimator of 6 and observe that it is a function of this geometric mean.

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