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<math> S </math> is the number of studies
<math> f_{i} </math> is the pooled allele frequency of <math>i^{th} <\math> variant
<math> f_{i,k} </math> is the allele frequency of <math>i^{th} <\math> variant in <math>k^{th} <\math> study
<math> {\delta_{k}} </math> is the deviation of trait value of <math>k^{th} <\math> study
<math> \mathbf{w^T} = (w_1,w_2,...,w_m)^T</math> is the vector of weights for <math>m</math> rare variants in a gene.