As this incident unfolds, what’s the best way to estimate how many additional hours it’s likely to last? My intuition is that the expected remaining duration increases the longer the outage persists, but that would ultimately depend on the historical distribution of similar incidents. Is that kind of data available anywhere?
greybeard69|4 months ago
jewba|4 months ago
RamtinJ95|4 months ago
[deleted]
froobius|4 months ago
time left = time so far
But as you note prior knowledge will enable a better guess.
matsemann|4 months ago
> I visited the Berlin Wall. People at the time wondered how long the Wall might last. Was it a temporary aberration, or a permanent fixture of modern Europe? Standing at the Wall in 1969, I made the following argument, using the Copernican principle. I said, Well, there’s nothing special about the timing of my visit. I’m just travelling—you know, Europe on five dollars a day—and I’m observing the Wall because it happens to be here. My visit is random in time. So if I divide the Wall’s total history, from the beginning to the end, into four quarters, and I’m located randomly somewhere in there, there’s a fifty-percent chance that I’m in the middle two quarters—that means, not in the first quarter and not in the fourth quarter.
> Let’s suppose that I’m at the beginning of that middle fifty percent. In that case, one-quarter of the Wall’s ultimate history has passed, and there are three-quarters left in the future. In that case, the future’s three times as long as the past. On the other hand, if I’m at the other end, then three-quarters have happened already, and there’s one-quarter left in the future. In that case, the future is one-third as long as the past.
https://www.newyorker.com/magazine/1999/07/12/how-to-predict...
tsimionescu|4 months ago
Edit: I should add that, more specifically, this is a property of the uniform distribution, it applies to any event for which EndsAfter(t) is uniformly distributed over all t > 0.
movpasd|4 months ago
The cumulative distribution actually ends up pretty exponential which (I think) means that if you estimate the amount of time left in the outage as the mean of all outages that are longer than the current outage, you end up with a flat value that's around 8 hours, if I've done my maths right.
Not a statistician so I'm sure I've committed some statistical crimes there!
Unfortunately I can't find an easy way to upload images of the charts I've made right now, but you can tinker with my data:
rwky|4 months ago
jameshart|4 months ago
seydor|4 months ago