许宝騄文集

Description

许宝騄先生是我国已故的著名数学家。他对我国概率论和数理统计学的发展作出了重要的贡献，有很高的学术成就，共有论文三十九篇，其中包括解放后在国内发表的十三篇.本文集从中选了十九篇论文，基本上反映了各个时期许先生在各个领域的工作。 前言 Contribution to the Theory of "Student's" t-Test as Applied to the Problem of Two Samples On the Best Unbiassed Quadratic Estimate of the Variance A New Proof of the Joint Product Moment Distribution On the Distribution of Roots of Certain Determinantal Equations On the Limiting Distribution of Roots of a Determinantal Equation Analysis of Variance from the Power Function Standpoint Canonical Reduction of the General Regression Problem On the Problem of Rank and the Limiting Distribution of Fisher's Test Function The Limiting Distribution of a General Class of Statistics The Approximate Distributions of the Mean and Variance of a Sample of Independent Variables Sur un Théorème de Probabilités Dénombrables Complete Convergenee and the Law of Large Numbers A General Weak Limit Theorem for Independent Distributions 一个厄密方阵及一个对称或斜称方阵的联合变换 L族内的分布函数的绝对连续性 欧氏空间上纯间断的时齐马可夫过程的概率转移函数的可微性 一个不是L3方案的M3结合方案，其s=6 变叙的项的极限分布 BIB矩阵与单纯码及正交码