For SNP j and focal trait f, we have \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\widehat {\bf{b}}_{{\mathrm{SBLUP}}}$$\end{document}b^SBLUP values for k traits, and we wish to obtain the index weights, wj,k, for each \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\widehat {\bf{b}}_{{\mathrm{SBLUP}}_{j,k}}$$\end{document}b^SBLUPj,k effect as:13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\widehat {\bf{b}}_{\mathrm{wMT-SBLUP}_{j,f}} = \mathop {\sum} \limits_{k} {\bf{w}}_{{\mathrm{SBLUP}},j,k}\widehat{\bf{b}}_{{\mathrm{SBLUP}}_{j,k}} = {\bf{w}}_{{\mathrm{SBLUP}},j}{\prime}\widehat {\bf{b}}_{{\mathrm{SBLUP}}_j}$$\end{document}b^wMT-SBLUPj,f= ∑kwSBLUP,j,kb^SBLUPj,k=wSBLUP,j′b^SBLUPj