超幾何分佈的意思、翻譯和例句

是什麼意思

超幾何分佈是一種概率分佈,通常用於描述在不放回抽樣的情況下,從一個有限的母體中抽取樣本時,特定事件發生的概率。它的特點是樣本的大小、母體的大小以及成功事件的數量都是已知的。這種分佈在統計學中應用廣泛,特別是在抽樣和檢定中。

依照不同程度的英文解釋

  1. A way to find the chance of something happening when taking things without putting them back.
  2. Used to understand how likely it is to get a specific result from a group.
  3. Helps calculate the probability of getting successes in a sample without replacement.
  4. Describes the chance of a certain number of successes in a sample drawn from a population.
  5. Used in statistics to model scenarios where items are drawn without replacement.
  6. A statistical model for situations where the sample size is a significant portion of the population.
  7. A probability distribution that describes successes in draws from a finite population.
  8. An approach to calculate probabilities in scenarios involving finite populations and draws without replacement.
  9. A distribution that represents the probabilities of a specific number of successes in a sample of a finite population.
  10. A statistical method used to determine the likelihood of a certain number of successes in draws from a finite population without replacement.

相關英文單字或片語的差別與用法

1:Hypergeometric Distribution

用法:

在統計學中,超幾何分佈是用來描述在不放回抽樣的情況下,從一個有限的母體中抽取樣本時,特定事件發生的概率。這種分佈通常用於計算在特定數量的成功和失敗中,從母體中抽取樣本的成功機率。

例句及翻譯:

例句 1:

超幾何分佈常用於抽樣檢定中。

The hypergeometric distribution is often used in sampling tests.

例句 2:

我們可以使用超幾何分佈來計算成功的機率。

We can use the hypergeometric distribution to calculate the probability of success.

例句 3:

在這個實驗中,超幾何分佈可以幫助我們理解結果。

In this experiment, the hypergeometric distribution can help us understand the results.

2:Hypergeometric Function

用法:

超幾何函數是一個數學函數,與超幾何分佈有關,通常用於解決某些類型的統計問題。它可以用來表示在特定條件下的概率計算,並且在數學和物理的不同領域中都有應用。

例句及翻譯:

例句 1:

超幾何函數在許多數學問題中扮演重要角色。

The hypergeometric function plays an important role in many mathematical problems.

例句 2:

我們需要用超幾何函數來解這個方程。

We need to use the hypergeometric function to solve this equation.

例句 3:

這篇論文探討了超幾何函數的應用。

This paper explores the applications of the hypergeometric function.

3:Hypergeometric Model

用法:

超幾何模型是利用超幾何分佈來描述特定情況的數學模型,通常用於抽樣問題中,特別是在有限母體的情況下。這種模型可以幫助研究者理解和預測樣本中的成功機率。

例句及翻譯:

例句 1:

我們使用超幾何模型來分析數據。

We used the hypergeometric model to analyze the data.

例句 2:

這個研究建立了一個超幾何模型來預測結果。

This study established a hypergeometric model to predict the outcomes.

例句 3:

超幾何模型在生物統計學中有廣泛應用。

The hypergeometric model has wide applications in biostatistics.