Sentence examples for case of probabilities from inspiring English sources

Both frameworks can be adapted from the particular case of probabilities on a domain (Omega subset mathbb R^d) to the more general case of metric measure spaces, and the question whether the two flows coincide, or under which assumptions they do, is natural.

Suppose that we issue an alarm for every case of probability higher than the threshold.

In this sense, classical logic is a special case of probability logic, or equivalently, probability logic is an extension of classical logic.

We prove uniqueness for the Dirichlet problem for the complex Monge Ampère equation on compact Kähler manifolds in the case of probability measures vanishing on pluripolar sets.

The probability of individual units within strata to be sampled can nevertheless be calculated, which makes this type of sampling a special case of probability sampling and different from non-probability or purposive sampling as described by Cameron et al. (2003).

Because stratifying the data does not lead to any simplifications, the plots in Figure  6 combine all data for various cases of probabilities { qfix,  qfluct,  p}.

Provided that all observations are independent of each other, this likelihood is the geometric sum (Π, across i = 1 to n cases) of probabilities for each individual observation (i) to occur, given the respective model and parameters (θ's) for the x values.

Incompatibility and certainty are thus two extreme cases of probability with values of 0 and 1.

This account is designed to handle cases of probability-raising non-causes.

Since nearly all commonly used neighborhoods are imprecise probabilities, a large part of robust statistics can be seen as a special case of imprecise probabilities.

For the case of imprecise probabilities, however, the situation looks bleak.