Testing for enrichment between two weighted ranked lists

Question

[PeterA]

Is there any tool/package/test to perform GSEA-like analysis between two weighted ranked lists of unequal length? Essentially I want to test if genes which rank high in one list also tend to rank high in the other list, but also consider the associated scores for each gene, not just its rank.

Example scenario is to test for over-representation of cluster-specific genes from single-cell experiment (which are ranked by some quantitative specificity score) in a ranked list of DE genes from bulk RNA-Seq experiment. Another example would be to test for over-representation of miRNA targets (which are ranked and scored by some sort of score reflecting the confidence of targeting relationship). Thank you for suggestions.