Zhang, Dongen Some estimators for compositional data. (Chinese. English summary) Zbl 1002.62042 Acta Math. Appl. Sin. 25, No. 1, 58-66 (2002). Summary: Estimators for the mean and covariance matrix of compositional data are given by means of the seemingly unrelated regressions equations model. Especially, for compositional data sampling from the Dirichlet distribution \(D(a_1,\dots, a_{d+1})\), a quadratic estimator for the parameter \(a=\sum^{d+1}_{j=1} a_j\) and cubic estimators for \(a_1,\dots, a_{d+1}\) are proposed and the asymptotic distributions are obtained. MSC: 62H12 Estimation in multivariate analysis 62J99 Linear inference, regression 62E20 Asymptotic distribution theory in statistics Keywords:SURE model; seemingly unrelated regressions equations; compositional data; Dirichlet distribution PDFBibTeX XMLCite \textit{D. Zhang}, Acta Math. Appl. Sin. 25, No. 1, 58--66 (2002; Zbl 1002.62042)