论文标题
相对于ewens采样公式的差异急剧不平等
A sharp inequality for the variance with respect to the Ewens Sampling Formula
论文作者
论文摘要
检查了与Ewens概率的对称组定义的线性统计量的方差。尽管汇总的依赖性，但它可以通过方差之和的常数倍数从上方界定。我们发现该常数的确切值。对出现二次形式和特征值搜索的分析构建在指数矩阵和离散的Hahn的多项式上。
The variance of a linear statistic defined on the symmetric group endowed with the Ewens probability is examined. Despite the dependence of the summands, it can be bounded from above by a constant multiple of the sum of variances. We find the exact value of this constant. The analysis of the appearing quadratic forms and eigenvalue search is built upon the exponential matrices and discrete Hahn's polynomials.
