Question: Suppose Y 1 , Y 2 , ..., Y n denote a random sample from the density function f ( y ) = e y

  1. Suppose Y1, Y2, ..., Yn denote a random sample from the density function

f(y)=ey, y>

where is an unknown, positive constant.

1. Find an estimatorfor1 by the method of moments.

2. Find an estimatorfor2 by the method of maximum likelihood.

3. Adjust1and2so that they are unbiased. Find the efficiency of the adjusted1 relative to the adjusted2.

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