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Point estimation is the application of an estimator to the data in order to learn about a certain population parameter.
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Invariance property of MLE: what is the MLE of $\theta^2$ of normal, $\bar{X}^2$?
Invariance property of MLE: if $\hat{\theta}$ is the MLE of $\theta$, then for any function $f(\theta)$, the MLE of $f(\theta)$ is $f(\hat{\theta})$.
Also, $f$ must be a one-to-one function.
The …
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How to find an unbiased estimator?
Suppose $X_1, X_2, ...,X_n$ are samples from a uniform discrete distribution with probability 1/3 on each of the points $\theta-1, \theta, \theta+1$, where $\theta\in\mathbb{Z}.$ From "Theory of poin …