Sentence examples for frequency interpretation from inspiring English sources

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.

The two foregoing interpretations of the probability of an event are referred to as being the frequency interpretation and the subjective interpretation of probability.

Strictly speaking, however, the justification is circular because the probability in the above equation, which is very close to but not equal to 1, requires its own relative frequency interpretation.

For example, the statement that the probability of "heads" in tossing a coin equals one-half, according to the relative frequency interpretation, implies that in a large number of tosses the relative frequency with which "heads" actually occurs will be approximately one-half, although it contains no implication concerning the outcome of any given toss.

The relative frequency interpretation of probability is that if an experiment is repeated a large number of times under identical conditions and independently, then the relative frequency with which an event A actually occurs and the probability of A should be approximately the same.

There are a number of attempts to interpret probabilities objectively, the most prominent being frequency interpretations and propensity interpretations.

Like the frequency interpretations, propensity interpretations locate probability 'in the world' rather than in our heads or in logical abstractions.

Refinements of our understanding of randomness, in turn, should have a bearing on the frequency interpretations (recall von Mises' appeal to randomness in his definition of 'collective'), and on propensity accounts (especially those that make explicit ties to frequencies).

And, in fact, we used that statement the frequency response interpretation of the Fourier transform, the impulse response we use that to motivate an intuitive interpretation of the convolution property.

In particular, a frequency domain interpretation is provided, based on the use of Volterra series representations for the true system and the considered model structure.