Nonuniform PRNG?
Sabrina Almodóvar
salmodovar at ligumu.com
Wed Dec 7 13:33:00 EST 2022
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?
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