On 07/12/2022 13:45, Stefan Ram wrote: [...]
> |One of the oldest interpretations is the /limit frequency/ > |interpretation. If the conditioning event /C/ can lead > |to either A or "not A", and if in /n/ repetitions of such > |a situation the event A occurs /m/ times, then it is asserted > |that P(A|C) = lim n-->oo (m/n). This provides not only > |an interpretation of probability, but also a definition > |of probability in terms of a numerical frequency ratio. > |Hence the axioms of abstract probability theory can > |be derived as theorems of the frequency theory. > | > |In spite of its superficial appeal, the limit frequency > |interpretation has been widely discarded, primarily because > |there is no assurance that the above limit really exists for > |the actual sequences of events to which one wishes to apply > |probability theory. > | > "Quantum Mechanics" (1998) - Leslie E. Ballentine That's pretty interesting. Indeed, we really must discard this frequency interpretation, even though it is what's in my mind when I think of estimating the probability of a certain event, which I think would be called the empirical distribution of probability? -- https://mail.python.org/mailman/listinfo/python-list
