Parameters of the zero-inflated negative binomial distribution (5) can be estimated by generalized linear model as shown in (6).6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathrm{logit}\left(\frac{\pi_{s,b,l}}{1-{\pi}_{s,b,l}}\right)=\boldsymbol{\gamma} \boldsymbol{\hbox{'}}{\boldsymbol{z}}_{s,b,l} $$\end{document}logitπs,b,l1−πs,b,l=γ'zs,b,l\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \log \left({\mu}_{s,b,l}\right)={\boldsymbol{\beta}}^{\boldsymbol{\hbox{'}}}{\boldsymbol{c}}_{s,b,l} $$\end{document}logμs,b,l=β'cs,b,l
