Mathematical methods of statistics
Mathematical methods of statistics
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发表时间：
1946
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通讯作者：
H. Cramér
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作者：
H. Cramér
在这本关于统计数学理论的文章中，哈拉尔德·克莱默 (Harald Cramer) 加入了该领域的两条主要发展路线：当英国和美国的统计学家正在发展统计推理科学时，法国和俄罗斯的概率学家将经典的概率演算转变为严格的纯数学理论。克莱默的工作成果是对现代统计学的数学方法的阐述，这些方法设定了其他人此后寻求遵循的标准。本书的第一部分介绍了分布以及与分布相关的集成的基本概念。第二部分包含随机变量和概率分布的一般理论，第三部分致力于抽样统计估计和显着性检验的理论。
In this text about statistical mathematical theory, Harald Cramer joins two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probablists transformed the classical calculus of probability into a rigorous and purely mathematical theory. The result of Cramer's work is an exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. The first part of the book is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling statistical estimation and tests of significance.