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Random walk with drift formula is: (Yt = α + Yt-1 + εt )

How do I go about checking that the drift estimator α-hat is unbiased.. which is proving that E(α-hat) = α?

Is this something I would need strong mathematics background to understand? It seems to be that I cannot find much information about it online.

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    $\begingroup$ Please give out the $\hat \alpha$, otherwise, no one knows biased or unbiased. $\endgroup$ – user158565 Aug 9 '19 at 1:31
  • $\begingroup$ @user158565 I'm not entirely sure what you mean, I wasn't given a dataset to worth with - just the exact question I'm asking. $\endgroup$ – dustedcat Aug 9 '19 at 1:39
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$\triangle y_{t} = \alpha + \epsilon_{t}$

$E(\triangle y_{t}) = \alpha \rightarrow \hat{\alpha} = \bar{(\triangle y}_{t}) = \frac{\sum_{t=1}^{n}\triangle y_{t}}{n}$

and it' straightforward to show that $\hat{\alpha}$ is unbiased.

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