Sentence examples for formulation of probabilities from inspiring English sources

A comparison of the Bayesian and DS approaches in [25] illustrates that the two techniques can lead to similar results but that a well-defined formulation of probabilities, conditioning and priors is required in the Bayes method, whereas in the DS theory, conditioning is incorporated in the belief functions with no prior knowledge needed.

Moreover, the analytical formulation of these probabilities is practically confirmed by using an importance sampling method, a Monte Carlo strategy of numerical simulation that can be used to compute rare events.

Just like the formulation of conditional probability and Bayesian inference [6] advanced our understanding of marginal and joint probabilities [7], data mashing, the process of fusion of information from disparate resources, has a potential to revolutionize our understanding of natural processes and complex phenomena.

The basis of statistical inference is the formulation of a probability model to describe the data; an understanding of statistical inference requires some knowledge of the theory of probability.

His formulation of logical probability begins with the construction of a formal language.

Scott and Krauss (1966) use model theory in their formulation of logical probability for richer and more realistic languages than Carnap's.

Model uncertainty is also acknowledged through numerical stabilisation measures by including a nugget term in the formulation of the probability model.

In this article, a general formulation of the probability weighted moments of the Weibull Distribution is presented in order to estimate the parameters mentioned above.

Clearly, there is a delicate balance that must be struck between the formulation of the probability axioms, and the understanding of 'bets' and 'sure loss' for the Dutch Book theorem and its converse to hold.

Our formulation

Similarly, the independent random variables are used in the formulation of the probability of detecting a crack, described in Eq. (3).