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Although subjectivist (or, rather, logical) interpretations of probability in statistical mechanics have been proffered (by E. Jaynes, for example), most interpreters of the theory opt for an objectivist interpretation of probability.
It embraces the epistemic interpretation of probability whole-heartedly: probabilities over hypotheses are interpreted as degrees of belief, i.e., as expressions of epistemic uncertainty.
But "a newer interpretation of probability is more subjective," Professor Frankel said.
Insofar as an event which has probability very close to 1 is practically certain to happen, this result justifies the relative frequency interpretation of probability.
Perhaps it is better to say that the weak law of large numbers is consistent with the relative frequency interpretation of probability.
Objective chance is an interpretation of probability as an objective tendency of a physical situation to produce an outcome of a certain kind.
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Most methods described in the hydrological literature are designed from a frequentist interpretation of probabilities, although such probabilities are commonly interpreted as subjective decisional bets by the end user.
One is the interpretation of probabilities as relative frequencies, for which simple games involving coins, cards, dice, and roulette wheels provide examples.
The principle of addition of probabilities is that, if A1, A2,…, An are events with Ai ∩ Aj = Ø for all pairs i ≠ j, then Equation (1) is consistent with the relative frequency interpretation of probabilities; for, if Ai ∩ Aj = Ø for all i ≠ j, the relative frequency with which at least one of the Ai occurs equals the sum of the relative frequencies with which the individual Ai occur.
The intuitive interpretation of probabilities introduced in this way is the same as in the other sciences which employ probability theory as long as a single framework is in view.
In other words, we believe constant doubt is a prerequisite for evidence based medicine and therefore its application should be continuously tested (respectively falsified) in order to secure that the knowledge gained by statistical interpretation of probabilities really is a reflection of the true nature of the problem for which the evidence based solution was found.
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conception of probability
perception of probability
characterization of probability
interpretation of likely
statements of probability
interpretation of reality
interpretation of severity
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interpretation of science
theory of probability
interpretation of knowledge
interpretation of scale
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