Sentence examples for fundamental probability from inspiring English sources

The fundamental probability models representing the structure's behavior are specified by the choice of a stochastic system model class which involves a set of inputoutput probability models for the structure and a prior probability distribution over this set.

It should be notable that, by the 2080s, there is a probability of some areas having more than 50% of large-scale wildfires under the "average" climatic conditions in the future, indicating that, even without "extreme" weather conditions, some ecosystems will have a fundamental probability of experiencing catastrophic fires under the condition of average summer.

The lognormal distribution of islet size can be derived from the central limit theorem a fundamental probability theorem justifying that if k is the sum of n mutually random variables, k1, k2,.., kn, then the distribution function of k is approximated with the normal distribution [30].

This paper uses a fundamental multivariate probability transformation theorem to show that regardless of which state space an admissible region is expressed in, the probability density must remain the same under the Principle of Transformation Groups.

Axial and radial dispersion of the liquid flow are inherently included in the model, since the fundamental model probability parameters are directly related to the dispersion coefficients.

The emissions are likewise expanded to higher order in the fundamental joint probability that is the basis of the generalized-clique, or "metastate", HMM.

The conjunction rule, the simplest and most fundamental law of probability [23], holds that the probability of a conjunction of two events cannot exceed that of either of its constituents (i.e., p(A&B)≤p(A), p(B)).

Another growth area is the study of non-fundamental objective probabilities, as one finds in statistical mechanics and evolutionary theory.

Finally in 1812, Pierre-Simon Laplace published his Théorie analytique des probabilités in which he consolidated and laid down many fundamental results in probability and statistics such as the moment generating function, method of least squares, inductive probability, and hypothesis testing, thus completing the final phase in the development of classical probability.

The Abel Prize committee hailed Dr. Varadhan for his "fundamental contributions to probability theory and in particular for creating a unified theory of large deviations".

The fundamental ingredient of probability theory is an experiment that can be repeated, at least hypothetically, under essentially identical conditions and that may lead to different outcomes on different trials.