Sentence examples for probability in the form of from inspiring English sources

We study their error probability in the form of false alarms.

We reconsider the latter approach while dealing with a generalised version of the problem, using a behavioural theory of imprecise probability in the form of coherent lower previsions as well as of coherent sets of desirable gambles, and letting the possibility space be finite or infinite.

An alternative to eliciting probabilities in the form of cdfs or pdfs is to ask for quantiles of the distribution, for example, the respondent is prompted to provide a value X such that there is a 25%% chance of her income being less than X.

For simplicity, we present the predicted probabilities in the form of the predicted percentage of women who experienced each mental health outcome.

Probability analysis in the form of probability density functions for renewable resources is explained and detailed.

The integrated total product densities provide information about the cell number probability distribution in the form of its moments which are used to describe the distribution qualitatively and approximate it quantitatively.

(The only currently accepted way to incorporate cardinal information into a value function is by making value comparisons over lotteries, and using the probabilities of these lotteries either as objective probabilities or in the form of subjective beliefs as an interval measure. This procedure falls within the domain of decision theory and will not be discussed any further here).

Note that the key quantities required to calculate these gradients are the marginal probabilities in the forms of P(O| C, F) and P C, O| F).

In Section 3.2.1, we have derived that in order to apply gradient-based learning, we need to first calculate the marginal probabilities in the forms of P(O| C, F) and P C, O| F).

We model the probability of independently observing both location and intensity of a local maxima from a cluster k as: (1) where is a probability proportional to the intensity, and is a probability density function in the form of a multivariate normal distribution with mean and covariance.

According to our closed form expression of the outage probability, diversity appears in the form of a product of error probabilities contributed by different transmission branches.