Fourati, Faïza Dirichlet distribution and orbital measures. (English) Zbl 1229.60008 J. Lie Theory 21, No. 1, 189-203 (2011). The author considers the probability measure \(M_{n}(k;\alpha)\) on \(\mathbb R\) for \(\alpha\in\mathbb R^{n}\), \(k\in (\mathbb R_{+}^{*})^{n}\) which is related with the Dirichlet distribution \(D_{n}^{(k)}\). The author establishes a Markov-Krein type formula, where \(\alpha=k_{1}+...k_{n}\), which generalizes results given by other authors for special cases of \(k_{i}\) and \(\alpha\). Also \(M_{n}(k;\alpha)\) is obtained as a convolution of special forms of distributions, and, finally, the moments of the measure \(M_{n}(k;\alpha)\) are computed. Reviewer: Chrysoula G. Kokologiannaki (Patras) Cited in 1 Document MSC: 60B05 Probability measures on topological spaces 65D07 Numerical computation using splines Keywords:Dirichlet distribution; orbital measure; Markov-Krein correspondence; spline function; Jack polynomials PDFBibTeX XMLCite \textit{F. Fourati}, J. Lie Theory 21, No. 1, 189--203 (2011; Zbl 1229.60008) Full Text: Link