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Also the influences of heavy-tailed marginal distribution on the uncertainty evaluation of joint distribution have been investigated.
The Copula function is a kind of special distribution function which has a uniform marginal distribution on each dimension.
The function is determined by a probability distribution on where is the marginal distribution on and is the condition probability of for a given.
This is achieved by augmenting the original probability model on data and parameters to a probability model on data, parameters and actions in such a way that the marginal distribution on the actions is proportional to expected utility.
However, the reconciled marginal distribution on average became more informative: the overall entropy of the reconciled marginal distributions drops by 0.45 bits for the node variables and by 2.14 bits for the arc variables, in comparison to the prior distribution.
This normal gamma mixture distribution (conditional on τ j ) is commonly used to impose sparsity (Neal 1996 ; Tipping 2001 ) as the marginal distribution on λ ij takes the form of Student's t -distribution with v degrees of freedom and is heavy tailed.
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The measure of Relative Position, RP, expresses the extent to which the marginal distribution of assessments on the BIS is systematically shifted towards higher categories than the marginal distribution of assessments on the FB(1.0) rather than the opposite.
For a star image spot covering a certain number of pixels, the marginal distribution of the gray accumulation on rows and columns are shown and analyzed, based on which the formulas of Gaussian Analytic Centroiding method (GAC) are deduced, and the robustness is also promoted due to the inherited filtering effect of gray accumulation.
While this was not the case, we observed that the ROI selection methods had little influence on the marginal distribution of the time series, which we found could be assumed to be normal to a good approximation in most cases.
An easily-computed, intuitive summary statistic is a simple agreement score sj, which can be calculated for each rater j and which is based on the marginal distribution of grades given to each sample.
Third, we based our simulations on the marginal distribution of items from the Siegrist's questionnaire and the GHQ-12 in an actual population of workers.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com