4 ms·
I don't understand your (or Taleb's) point. If you insist on "no probability without ergodicity" then you can't put a probability on stock price movement, or an
by yellowstuff 7y ago
I don't understand your (or Taleb's) point. If you insist on "no probability without ergodicity" then you can't put a probability on stock price movement, or any election or sporting event. But people put probabilities on those all the time. If that breaks the assumptions of frequentist models then it's the frequentists who are wrong about what people mean when they use probabilities.
I agree with the idea that Nate Silver is an entertainer, and if he were a bookie he'd need to be more precise about the odds he places on things and his range of uncertainty. But to me that doesn't suggest that Silver shouldn't speak in terms of probability at all. For a journalist (a big caveat) he's remarkable for being rigorous, open about his level of certainty, and willing to admit to mistakes.
- patrick5415 7y agoI disagree that statisticians should adjust their definitions to fit common usage. I can put any probably on anything I want. That doesn’t imply those numbers mean anything usefu or that what I’m doing is backed by any established theory.
- kgwgk 7y agoThere are established theories of probability that have nothing to do with ergodicity. See for example: Laplace - Théorie analytique des probabilités - 1812 Keynes - A Treatise on Probability - 1921 Jeffreys - Theory of Probability - 1939 Savage - The Foundations of Statistics - 1954 de Finetti - Teoria delle Probabilità - 1970