Consistent estimator for parameter from Rayleigh distribution.

pirce
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Using MLE I found that estimator \alpha parametr from Rayleigh distribution is described by formula
\hat{\alpha}=\sqrt{\frac{\sum_{n}^{i=1}x_i^2}{2n}}
but I can't proof that this estimator is consistent estimator.

Would you be mind and help me with my problem.
 
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Wouldn't you just need to show that E[X^2] = 2a^2 ?
 

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