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单词 law of large numbers
释义

law of large numbers

英汉-汉英词典
大数定律
词组 | 习惯用语
您要查找的是不是:
    Law of large number 大数法则;大数定律;巨量定律
    law of larger numbers 大数定律
    stroke law of large numbers 强大数定律
    chebyshev law of large numbers 切比雪夫大数定律
    Bernoulli law of large numbers 柏努利大数法则
    markov law of large numbers 马尔可夫大数律
    poisson law of large numbers 泊松大数律
    uinform law of large numbers 均匀大数定律
law of large numbers [数] 大数定律
原声例句
经济学人(汇总)

But above all, they are betting on the law of large numbers.

但是除此以外,他们还寄期望与大数定律

可汗学院:统计学(视频版)

But what the law of large numbers says, well, I don't care how many trials this is.

但是大数定律说的是,好吧,我不在乎这是多少次试验。

可汗学院:统计学(视频版)

The law of large numbers just tells us that my sample mean will approach my expected value of the random variable.

大数定律只是告诉我们,我的样本均值将接近我对随机变量的期望值。

可汗学院:统计学(视频版)

So you might say that the law of large numbers tell this, OK, after we've done 3 trials and our average is there.

所以你可能会说大数定律告诉我们,好吧,在我们完成 3 次试验并且我们的平均值就在那里之后。

可汗学院:统计学(视频版)

The law of large numbers just tells us that this the average-- the average of all of my observations, is going to converge to 50 as n approaches infinity.

大数定律告诉我们,当 n 接近无穷大时,这个平均值——我所有观察结果的平均值,将收敛到 50。

可汗学院:统计学(视频版)

The law of large numbers just says that if we take a sample of n observations of our random variable, and if we were to average all of those observations-- and let me define another variable.

大数定律只是说,如果我们从随机变量的 n 个观测值中抽取一个样本,并且如果我们要对所有这些观测值取平均值——让我定义另一个变量。

可汗学院:统计学(视频版)

The law of large numbers will just tell us that-- let's say I have a random variable-- X is equal to the number of heads after 100 tosses of a fair coin-- tosses or flips of a fair coin.

大数定律只会告诉我们——假设我有一个随机变量——X 等于抛硬币 100 次后正面朝上的次数——抛硬币或抛硬币。

可汗学院:统计学(视频版)

What the law of large numbers tells us is that it doesn't care-- let's say after some finite number of trials your average actually-- it's a low probability of this happening, but let's say your average is actually up here.

大数定律告诉我们的是,它并不关心——假设经过一些有限次数的试验后你的平均值实际上——发生这种情况的可能性很低,但假设你的平均值实际上在这里。

中文百科

大数定律

以特定掷单个骰子的过程来展示大数定律。随着投掷次数的增加,所有结果的均值趋于3.5(骰子点数的期望值)。不同时候做的这个实验会在投掷数量较小的时候(左部)会表现出不同的形状,当数量变得很大(右部)的时候,它们将会非常相似。
La difusión es un ejemplo de la ley de los grandes números, aplicada a la química. Inicialmente, hay moléculas de soluto en el lado izquierdo de una barrera (línea púrpura) y ninguno a la derecha. Se elimina la barrera y el soluto se difunde para llenar toda el contenedor.
Arriba: con una sola molécula, el movimiento parece ser bastante aleatorio.
Medio: con más moléculas, existe una clara tendencia en la que el soluto llena el recipiente más y más uniformemente, pero también hay fluctuationes.
Abajo: con un enorme número de moléculas de soluto (demasiadas para verse), la aleatoriedad esencialmente desaparece: el soluto parece moverse suave y sistemáticamente desde las zonas de alta concentración a las zonas de baja concentración. En situaciones reales, los químicos pueden describir la difusión como un fenómeno macroscópico determinista (ver leyes de Fick), a pesar de su carácter aleatorio subyacente.
Simulation illustrating the law of large numbers. Each frame, you flip a coin that is red on one side and blue on the other, and put a dot in the corresponding column. A pie chart shows the proportion of red and blue so far. Notice that the proportion may vary a lot at first, but gradually approaches 50%.

在数学与统计学中,大数定律又称大数法则、大数律,是描述相当多次数重复实验的结果的定律。根据这个定律知道,样本数量越多,则其平均就越趋近期望值。

大数定律很重要,因为它“保证”了一些随机事件的均值的长期稳定性。人们发现,在重复试验中,随着试验次数的增加,事件发生的频率趋于一个稳定值;人们同时也发现,在对物理量的测量实践中,测定值的算术平均也具有稳定性。比如,我们向上抛一枚硬币,硬币落下后哪一面朝上本来是偶然的,但当我们上抛硬币的次数足够多后,达到上万次甚至几十万几百万次以后,我们就会发现,硬币每一面向上的次数约占总次数的二分之一。偶然必然中包含着必然。

英语百科

Law of large numbers 大数定律

An illustration of the law of large numbers using a particular run of rolls of a single dice.  As the number of rolls in this run increases, the average of the values of all the results approaches 3.5.  While different runs would show a different shape over a small number of throws (at the left), over a large number of rolls (to the right) they would be extremely similar.
Diffusion is an example of the law of large numbers, applied to chemistry. Initially, there are solute molecules on the left side of a barrier (purple line) and none on the right. The barrier is removed, and the solute diffuses to fill the whole container.
Top: With a single molecule, the motion appears to be quite random.
Middle: With more molecules, there is clearly a trend where the solute fills the container more and more uniformly, but there are also random fluctuations.
Bottom: With an enormous number of solute molecules (too many to see), the randomness is essentially gone: The solute appears to move smoothly and systematically from high-concentration areas to low-concentration areas. In realistic situations, chemists can describe diffusion as a deterministic macroscopic phenomenon (see Fick's laws), despite its underlying random nature.
Simulation illustrating the law of large numbers. Each frame, you flip a coin that is red on one side and blue on the other, and put a dot in the corresponding column. A pie chart shows the proportion of red and blue so far. Notice that the proportion may vary a lot at first, but gradually approaches 50%.

In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed.

近义、反义、联想词
近义词
n.
law, law of nature

英英词典
law of large numbers n.
  1. (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics

  2. synonymous: Bernoulli's law
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更新时间:2025/6/23 0:18:52