Low-flying rocks
As you have probably heard, a modest-sized asteroid will pass really quite close to the earth in seven years. Perhaps very close. Maybe even closer than that. If this happens, it won’t be civilisation-destroying but could be locally devastating. The main StatsChat relevant issue is that the probability of the asteroid hitting the earth keeps going up: 1.4%, 2.2%, 3.1%. Why is it getting consistently higher? Does that mean we can expect it will keep going up?
Most likely, the probability will keep going up for a while, then suddenly plunge to zero — though it might keep going up and up to 100%. The sudden plunge to zero and the increase before that point happen for the same reason. Because of our limited measurements so far, we know only approximately where the asteroid will be in seven years’ time. You can think of a little moving cloud of possible asteroid positions in space. At the moment, the cloud of possible positions intersects where the Earth will be, but the Earth is a pretty small target (Space is big. Really big.)
As we get more precise information (for example, from the Webb Space Telescope) the cloud of possible positions gets smaller. If the cloud still intersects the Earth’s position, the smaller cloud of possibilities means the probability of impact goes up. If it doesn’t still intersect the Earth’s position, the probability of impact drops to zero.
If the randomness in predictions is approximately in some consistent way, the predicted average value of the estimate should stay the same over time (the technical term is ‘martingale’). The chance that the estimate has gone to zero will go up over time, so the estimate in scenarios where it doesn’t go to zero must also go up over time.
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