斯普拉格-道利定理的意思、翻譯和例句

是什麼意思

「斯普拉格-道利定理」是一個數學定理,主要應用於概率論和隨機過程的研究中。該定理描述了在特定條件下,隨機變數的和的極限行為,特別是在獨立同分布的隨機變數的情況下。這個定理的應用範圍非常廣泛,包括統計學、金融數學和其他與隨機性有關的領域。

依照不同程度的英文解釋

  1. A rule about how random things behave.
  2. A principle that shows how sums of random numbers work.
  3. A theorem about random variables and their limits.
  4. A mathematical statement about the behavior of sums of independent random variables.
  5. A theorem that helps understand the convergence of sums of random variables.
  6. A theorem related to the limiting distribution of sums of independent random variables.
  7. A principle that describes the asymptotic behavior of sums of random variables.
  8. A theorem that provides insight into the aggregation of independent random variables.
  9. A mathematical theorem detailing the limiting distribution of sums of independent identically distributed random variables.
  10. A theorem that describes the statistical behavior of the sum of independent random variables.

相關英文單字或片語的差別與用法

1:Sprague-Dawley Theorem

用法:

這是該定理的正式名稱,通常用於數學和統計學的文獻中。它的應用包括在隨機過程分析中,特別是在獨立同分布的隨機變數的情況下。

例句及翻譯:

例句 1:

斯普拉格-道利定理在隨機過程的研究中非常重要。

The Sprague-Dawley Theorem is crucial in the study of stochastic processes.

例句 2:

這個定理幫助我們理解隨機變數和的極限行為。

This theorem helps us understand the limiting behavior of sums of random variables.

例句 3:

在研究獨立隨機變數時,我們經常引用斯普拉格-道利定理

We often refer to the Sprague-Dawley Theorem when studying independent random variables.

2:Sprague-Dawley Theorem in Probability

用法:

這一表述強調了該定理在概率論中的應用,尤其是當我們處理獨立隨機變數時。

例句及翻譯:

例句 1:

在概率論中,斯普拉格-道利定理提供了重要的見解。

In probability theory, the Sprague-Dawley Theorem provides important insights.

例句 2:

許多隨機過程的特性都可以通過斯普拉格-道利定理來解釋。

Many characteristics of stochastic processes can be explained by the Sprague-Dawley Theorem.

例句 3:

這個定理在隨機模型的建立中非常有用。

This theorem is very useful in the construction of stochastic models.

3:Sprague-Dawley Theorem in Statistics

用法:

這一表述強調了該定理在統計學中的重要性,特別是在處理數據聚合和隨機樣本時。

例句及翻譯:

例句 1:

在統計學中,我們經常使用斯普拉格-道利定理來分析數據。

In statistics, we often use the Sprague-Dawley Theorem to analyze data.

例句 2:

這個定理幫助我們理解隨機樣本的行為。

This theorem helps us understand the behavior of random samples.

例句 3:

斯普拉格-道利定理在數據分析中扮演了關鍵角色。

The Sprague-Dawley Theorem plays a key role in data analysis.