术语“Chebyshev不等式”的详细信息
| 数据项 Items | 术语信息 Info. |
|---|---|
| 汉语术语编号 Term No. | 91000017 |
| 所属学科 Subject | 统计学 Statistics |
| 汉语术语词性 POS | n. |
| 汉语术语分词 Segmentation | Chebyshev/不等式/ |
| 汉语术语长度 Length | 2 |
| 关联术语表达 Association | |
| 搭配信息 Collocation | |
| 编纂人 Compiler | 张淑文 |
| 编纂日期 Date of Compilation | 2015-07-29 00:00:00 |
汉英语境1
英译术语:
Chebyshev's inequality
汉语语境:
在概率论中，切比雪夫不等式保证在任何概率分布，“几乎所有”的值都接近均值 - 精确的说法是，该分配的值不超过1/ K2可以多K标准差离平均值（或等同地，分配的值中的至少1？1 / k2为内平均值k个标准差）。规则通常被称为切比雪夫定理，在统计数据里大约围绕平均值的标准偏差的范围内。它的不平等是具有很大作用的实用工具，因为它可以应用到完全任意分布（未知的除外均值和方差）。例如，它可以用来证明弱大树定律法。
英语语境:
In probability theory, Chebyshev's inequality guarantees that in any probability distribution, "nearly all" values are close to the mean - the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1?1/k2 of the distribution's values are within k standard deviations of the mean). The rule is often called Chebyshev's theorem, within the range of standard deviations around the mean in statistics. The inequality has great utility because it can be applied to completely arbitrary distributions (unknown except for mean and variance). For example, it can be used to prove the weak law of large numbers.