数学期望的基本概念及其应用
The Basic Concepts and Applications of Mathematic Expectation
摘要: 随机变量的数字特征刻画了随机变量某一方面的性质,在实际应用中更容易估算出来,有更加广泛的应用价值。本文主要介绍数学期望的基本概念和性质,并结合实例,让大家对数学期望这一数字特征有更深入的认识和理解。
Abstract: The numerical characteristics of a random variable describe specific aspects of its behavior, which facilitates estimation in practical applications and enhances its overall utility. This article primarily introduces the fundamental concepts and properties of mathematic expectation, and further deepens the reader’s understanding through illustrative examples.
参考文献
|
[1]
|
Huygens, C. (1657) De Ratiociniis in Ludo Aleae. Hagae-Comitum.
|
|
[2]
|
Bernoulli, J. (1713) Ars coniectandi. Basel.
|
|
[3]
|
Laplace, P.-S. (1820) Théorie analytique des probabilités. Courcier.
|
|
[4]
|
Kolmogorov, A.N. (1933) Grundbegriffe der Wahrscheinlichkeitsrechnung. Springer-Verlag. [Google Scholar] [CrossRef]
|
|
[5]
|
王松桂, 张忠占, 程维虎, 高旅端. 概率论与数理统计[M]. 北京: 科学出版社, 2023.
|
|
[6]
|
Markowitz, H. (1952) Portfolio Selection. The Journal of Finance, 7, 77-91. [Google Scholar] [CrossRef]
|