Hey kingsolomonsgrave.
For consistency you basically have to show that the variance goes to 0 as n > infinity. Can you show that your variance condition (in the numerator) is finite? What distribution do you have for your P's?
I have come up with an estimator for mu in a population of prices which I call Pbar.
I want to show that this estimate is consistent. This is what I've done:

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are there any glaring mistakes here?
Hey kingsolomonsgrave.
For consistency you basically have to show that the variance goes to 0 as n > infinity. Can you show that your variance condition (in the numerator) is finite? What distribution do you have for your P's?