Question: $$ begin{array}{1} text { Suppose that } What{theta}_{n}=hat{theta}_{n} (x) text { is the MLE of } theta(in R-{0}) text { which satisfies } text {

$$ \begin{array}{1} \text { Suppose that } What{\theta}_{n}=\hat{\theta}_{n} (x) \text { is the MLE of } \theta(\in R-\{0}) \text { which satisfies } \text { the following: \text { i. ] \quad \hat {\theta}_{n} (x) \text (is a consistent estimator for } \theta \text { ii. } \quad \sqrt{n}\left\hat{\thetal_{n} (x)-\theta ight] \quad \text { converges in distribution to } \quad N(0,1 / I\theta)] \text { as} \quad n ightarrow \infty W \text { Then find the asymptotic distribution of } \sqrt{n}\left|\frac{\hat {\theta)_{n} (x)} {\theta}-1 ight] \text { as } n ightarrow \infty \end{array} $$ SP.SD. 0251
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