b Verify the probability density function of Xr given in (6 4) by differentiation of the result in (a) c By considering PXr t n in the form of (a), find the asymptotic distribution of Xr for r fixed and n 1 if FX x is the uniform distribution over (0,1)

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Question: =+b Verify the probability density function of Xr given in (6.4) by differentiation of the result in (a). c By considering PXr > t=n in

=+ðbÞ Verify the probability density function of XðrÞ given in (6.4) by differentiation of the result in (a).

ðcÞ By considering PðXðrÞ > t=nÞ in the form of (a), find the asymptotic distribution of XðrÞ for r fixed and n ! 1 if FX ðxÞ is the uniform distribution over

(0,1).

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