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Show that $nX_{(1)}$ is not consistent

A simple question from ANOVA

Stationarity and invertibility conditions for ARMA(1, 1)

Find the UMVUE of $6\theta^2$ given $f(x\mid\theta) = \frac{1}{2\theta^2} e^{\frac{-\sqrt{x}}{\theta}} I_{(0,\infty)}(x)$

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