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Douglas_Knight comments on Open Thread, December 2-8, 2013 - Less Wrong
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It's worth knowing that what Jaynes calls "probability" everyone else calls "statistics."
Generally, "probability theory" means studying well-specified random models. In some sense this is frequentist, but in another sense the distinction does not apply. Whereas "statistics" is about subjective ignorance.
That terminology sounds strange to me.
I define statistics as a toolbox of methods to deal with uncertainty.
And simulation theory is kinda the opposite of statistics - whereas in statistics you deduce the distribution from sample data, in simulation you compute plausible sample data from a given distribution.