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As a mathematician he used Bayesian search theory, crunching multiple probabilities to produce contour maps and then to pinpoint a site to within a few hundred yards.
This modal setting involving multiple probabilities has generally been given a (1) stochastic interpretation, concerning different probabilities over the next states a system might transition into (Larsen and Skou 1991), and (2) a subjective interpretation, concerning different probabilities that different agents may have about a situation or each other's probabilities (Fagin and Halpern 1988).
For instance, in Figures 1 multiple probabilities of association < 10-4 areportedted.
After applying the Bonferroni correction for evaluating multiple probabilities (Bretz et al. 2010), only the projections of areas 7A and DP to area 10 were inconsistent despite a statistically very low probability of being so.
Fisher's method combines multiple probabilities from independent tests of the same hypothesis and generates one combined statistic using the following formula: χ 2 = - 2 ∑ i = 1 k l o g e p i where p i is the P-value for the ith hypothesis test, and k is the number of tests being combined [ 33].
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If we do not use the sum of probabilities, then we have multiple probability values for each objective function.
A nomogram generated from an Australian cohort was recently published (O'Brien et al, 2011), and for multiple probability cutoffs predicting indolent PCa, they gave coexisting rates of high-risk disease.
The classification networks are equipped with the Softmax regression models and produce multiple similarity probabilities to characterize different appearances belonging to the same person.
Therefore, a weighted average of multiple transition probabilities reported in literature was used.
Using the best set of parameters identified with the GMRQ analysis, we obtained multiple transition probability matrices (TPMs) in order to construct the implied time-scales plot (see Methods).
The results from a series of experiments using a multiple cue probability learning forecasting task confirm that wider payments do not lead to increased performance when the task is simple.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com