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math.ST2023★ 1 cited
Invariant correlation under marginal transforms
Takaaki Koike, Liyuan Lin, Ruodu Wang
A useful property of independent samples is that their correlation remains the same after applying marginal transforms. This invariance property plays a fundamental role in statist…
math.ST2022★ 1 cited
Joint mixability and notions of negative dependence
Takaaki Koike, Liyuan Lin, Ruodu Wang
A joint mix is a random vector with a constant component-wise sum. The dependence structure of a joint mix minimizes some common objectives such as the variance of the component-wi…