Question:
In order to solve find the method of moments estimator, I know I need to first find the expected value of Y. But after finding $E(Y)= \frac{\theta}{2}$, what should I do next?
2026-03-30 08:55:20.1774860920
Finding method of moments
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Replace the population moment by sample analog to obtain $\frac{1}{n}\sum_{i=1}^nY_i = \frac{\hat \theta}{2}$ and so $$\hat \theta = \frac{2}{n}\sum_{i=1}^nY_i$$