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The weighted likelihood is a generalization of the likelihood designed to borrow strength from similar populations while making minimal assumptions.
The coefficients of the polynomials are estimated by Bayes estimation, in a two-level hierarchical model, which allows us to borrow strength from all voxels.
However, it is likely that although not equal, the dependence could be similar between many groups and we thus propose to use the MAMSE weights to borrow strength from other groups.
For heterogeneous dependence structures, we propose an adapted version of the MAMSE weights that preserves consistency while letting the groups borrow strength from each others based on the similarities of their empirical copulas.
Hierarchical and empirical Bayes approaches to inference are attractive for data arising from microarray gene expression studies because of their ability to borrow strength across genes in making inferences.
While the weighting is clear under the assumption that the dependence is the same within each group implied by the confounder, the author extends the Minimum Averaged Mean Squared Error (MAMSE) weights to borrow strength between groups when the dependence may vary across them.
Similar(25)
The data fusion techniques will borrow strengths across time and space from the existing data to derive a complete time series estimates for the variables of interest.
To more accurately estimate the MMR levels and changes, we take advantage of the hierarchical structure in the data and borrow strengths across space and time.
Through applying ASModel, we expect that each PPI network can borrow strengths from the other PPI network to enhance the clustering performance.
Small-area estimation reduces the variance of estimators by "borrowing strength" across subsets.
Recall that within this paradigm, the dependence of each group is assessed individually while borrowing strength from the other groups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com