Sentence examples for useful probability from inspiring English sources

For the class of conditionally acceptable random variables, we provide useful probability inequalities, mainly of the exponential type, which can be used to establish asymptotic results and, in particular, complete convergence results.

Thus, the ensemble prediction system provides useful probability information for rainfall and runoff forecasting.

This information perceived from the study may provide useful probability distribution upshots for extreme rainfall events.

Mayo argues that in order to assign a useful probability to an event, we need statistical evidence about the frequencies of similar events.

We expect that these G-classes or generated compounded models from them will be an addition to the art of constructing useful probability models.

Gupta et al. [ 2] also cite numerous applications where the beta distribution provides a useful probability generating model for continuous data with support on the interval (0,1).

Such information, together with the time scale analysis of droplet solidification and spreading, discussed in part II and III of this study, are useful for probability analysis of the various event occurring during a granulation process, which then lead to be better qualitative and, in part IV, quantitative prediction of the aggregation rate.

Thus, for a non-empty set Q, the collection of the expected values of the simple, Q-valued random vectors equals Q convex hull; this equality implies that the Shapley Folkman Starr results are useful in probability theory.

For a method to be useful, the probability of differences between repeated measures and objectivity must not transgress this bound significantly.

However, for CDS to be effective in managing decisions often encountered in primary care, such as diabetes, heart disease, or mental illness, algorithms must integrate an increasing array of variables to tailor an accurate and useful risk probability assessment to a given patient.

While city health inspections capture a wide variety of data that is difficult to obtain from online social media (like the presence of rodents in a restaurant's storage room), the Twitter signal measures a perhaps more useful quantity: a probability estimate of your becoming ill if you visit a particular restaurant.