Hi guys,

Any help will be much appreciated on these questions:

1.

LetX1;X2; : : : ;Xnbe a random sample from a Pareto distribution which has

probability density function

f(x) = 1/[(1 +x)^2]x >0:

Find the limiting distribution ofYn=nX(1).

2.

[SIZE=1][FONT=CMR10]LetX1;X2; : : : ;Xnbe a random sample from a distribution which has probability

density function

f(x) =e^[-x-µ]x > µ:

Find both the moment estimator and the maximum likelihood estimator of theparameterµ.