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by danharaj
2232 days ago
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There are hard limits to predicting the future when it involves fat tailed processes. Like pandemics, unsurprisingly. The law of large numbers gets less and less useful, for example, as you examine alpha stable distributions that have heavier tails than a gaussian. The mean even becomes undefined for extreme distributions. Given that extreme events tend to belong to these sorts of difficult to predict distributions and have a high chance of ruin, fear is far more rational than pretending you can apply empirical methods that work for mundane phenomenon. This is the study of extreme value theory and estimators for heavy tailed distributions. A well known popularizer of these mathematics with applications to events like pandemics is Nassim Taleb. His style is very brash and arrogant but his mastery of probability theory in this domain is very solid. The appropriate reaction to a highly unpredictable event with potential widespread impact will look like overreaction to a naive rationalist post hoc. Don't fall into that sophistic trap. Your lizard brain knows a lot more than you give it credit for and you debase your intelligence by innapropriately elevating your rational brain. |
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i bought black swan way back when, because it was popular and a couple people i knew recommended it. boy was that a mistake. i can overlook arrogance if it comes with insight, but that book was all incoherence and convolution, no meat. couldn't even finish, it was so bad. his fund backed by that strategy has underperformed. so appealing to taleb's authority is not a winning argument.
> "The appropriate reaction to a highly unpredictable event with potential widespread impact will look like overreaction to a naive rationalist post hoc."
the appropriate reaction to an unpredictable event is no reaction at all, since by definition, you can't predict what it is, much less when it will happen.
> "Your lizard brain knows a lot more than you give it credit for..."
your lizard brain is designed to handle futures on the order of seconds and minutes, not months and years, and certainly not decades and centuries. it's really good at predicting (and avoiding) the path of a bird for example, but not so good at predicting (and avoiding) drought.
edit: also, fat-tailed typically means a tiny bit fatter than a guassian tail, not some wavy, unknownably fat "tail". otherwise, we'd have enough known events from which to draw reasonable predictions, making it not extreme and unpredictable, nor even a tail at all.