Skip to main content
Cross Validated

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

Required fields*

3
  • $\begingroup$ Hm. Thank you. Yes, of course the functionals are the same for all distributions, I write as much in my answer here. What I was asking for was the specific closed form of these functionals for this distribution - and I gave them in my answer. Yes, these numbers are quite well known, but I was trying to collect them in one place in the context of optimal point forecasts, and in particular the MAPE is not quite as well known. I am sorry to say that your answer for the MAPE is wrong. ... $\endgroup$ Commented Jun 6, 2020 at 6:27
  • $\begingroup$ ... Finally, in the light of this discussion, I was hoping for an answer for the loss function $|\log(y/\hat{y})|$. Is there a closed form for the optimal point forecast under this loss that you could edit into your answer (and perhaps update and/or remove the parts about the other losses - right now, I don't see how they add anything beyond my existing answer)? $\endgroup$ Commented Jun 6, 2020 at 6:27
  • $\begingroup$ I read the Kuketayev paper, and it turns out that the additional loss function is actually the same as MAE and MASE. I included this in my answer here. Thanks once more! $\endgroup$ Commented Jun 6, 2020 at 7:35