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.
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.
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.