45 Table2

Conditional probabilities of variables M, E, H, express the knowledge that the presence of different defaults in the motor-pump M = T M = F E = T E = F E = T E = F H = T H = F H =T H = F H = T H = F H =T H = F S = T 1 1 1 1 1 1 1 1 S = F 0 0 0 0 0 0 0 0 Table 3 Posterior probability of the top event for the first scenario with uncertainty on [beta] and [eta] [eta] [beta] [[eta].

Each one of these evaluations includes the computation of 2*6+1=13

conditional probabilities of failure, needed by the sparse grid integration to compute the total probability integral (Equations 2 and 30).

Malhotra and Snowberg (2009) also use prediction markets to assess the probability of winning the general election conditional on winning the 2008 nomination, however they only examine point estimates of

conditional probabilities over the course of the primaries as opposed to running regressions over a longer period of time as we do in this paper.

On the other hand, Tables 7-10 present the

conditional probabilities calculated for service sectors that cover Soete and Miozo's (1989) taxonomy.

Therefore, we should seek appropriate modification of current tax compliance models to incorporate the

conditional probabilities of a tax return being audited if it contains underreported tax.

From a pooled total of 483 patients included in the intent-to-treat analyses, for the 149 patients who were classified as responders (>50% reduction on Hamilton Depression Rating Scale) at week 8, the

conditional probabilities of early partial response revealed that in participants who ultimately respond to SJW, an initial partial response occurs early (Sarris et al in submission).

The level (L) of a problem is the number of known

conditional probabilities in the text of the problem.

Ideally, those types would be conceived so that they could be incorporated in Bayesian

conditional probabilities, meaning that we could quantify the types in question so that we could calculate the probability that something will be of a certain type given that it is another type.

Through the learning algorithms of BNs, the BNAS model generates the graph, the links, and the

conditional probabilities from existing geospatial data.

less than tn-1 less than tn, the

conditional probabilities should be as follows:

More specifically, joint and marginal probabilities are obtained and used with Bayes Theorem to obtain the

conditional probabilities.

Bayes's theorem, a well-known theorem in probability, allows interpretation of findings on the basis of the actual data by providing a way to compute

conditional probabilities of events.