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It is noted that only the conditional variances depend on the set of SVs.
As the proposed method does not require any assumptions on the homoskedasticity, it can model relationships with noise terms whose variances depend on input variables.
Observe that, different from the case of orthogonal transmission considered in[3], the above variances depend on the correlations of the decoded bits, û i and û j, under the two hypotheses.
Furthermore, it is not easy to build a model like (2) for non-normal scores particularly because measurement error variances depend on the true construct value.
A notable exception is the extended Bayesian LASSO [ 21], where the prior distributions of locus-specific variances depend on regularizing shrinkage parameters, which can be tested for QTL presence via Bayes factors.
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Another approach is using different variances depending on the position in the image.
As a by-product, the same results hold for multivariate linear mixed models with variances depending on treatments.
In addition to looking at overall OS version adoption, Chartboost also broke down country-by-country uptake, and that showed some interesting variances depending on where users are in the world.
Finally, the disturbance (epsilon _{t}) can have different variances depending on whether the economy is in a period of moderate growth or high volatility.
The sum of the variances depends on the number of electrons nonmonotonically dropping by several orders of magnitude at magic numbers of electrons.
For example, when buying or refinancing a home, a borrower must sign a minimum of 28 pages of disclosures, with variances depending on his or her state, the loan and property types, as well as lender-specific requirements.
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CEO of Professional Science Editing for Scientists @ prosciediting.com