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Let Yn have chi-squared distribution with n df. Find the asymptotic distribution of Bn = n^(1/2)* ( sin(Yn/n) - sin(1) ) + log(Yn/n) . Hint:
Let Yn have chi-squared distribution with n df. Find the asymptotic distribution
of
Bn = n^(1/2)* ( sin(Yn/n) - sin(1) ) + log(Yn/n) .
Hint: start with a CLT for Yn/n by viewing it as a sample mean of suitable rv's.
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