基于μ-σ积分变换的概率问题研究

Research on Probability Problem Based on μ-σ Integral Transformation

在概率统计中一般正态分布化为标准正态分布的重要性不言而喻,而标准化的实质其实就是积分变换。本文重点阐述μ-σ积分变换在一维、二维正态分布问题研究中所起的作用,一方面揭示概率统计与高等数学联系密切,另一方面对正态分布这一重要的概念从积分变换的角度进行更加全面而深入的研究。

In probability statistics, it is self-evident that the importance of transformation from the general normal distribution into the standard normal distribution, and in fact the essence of standardization is integral transformation. The role of integral transformation in the study of one-dimensional and two-dimensional normal distribution was emphasized and discussed. On the one hand, the substantial connection between probability statistics and higher mathematics is revealed, and on the other hand, the important concept of normal distribution is comprehensively studied in-depth from the perspective of integral transformation.