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词汇 Cumulative probability distribution function
分类 英语词汇 英语翻译词典
释义

Cumulative probability distribution function

中文百科

累积分布函数 Cumulative distribution function

（重定向自Cumulative probability distribution function）

累积分布函数，又叫分布函数，是概率密度函数的积分，能完整描述一个实随机变量X的概率分布。一般以大写“CDF”（Cumulative Distribution Function）表记。

对于所有实数x ，累积分布函数定义如下：

F(x) = \operatorname{P}(X\leq x)
英语百科

Cumulative distribution function 累积分布函数

（重定向自Cumulative probability distribution function）
Cumulative Distribution Function for the normal distribution
From top to bottom, the cumulative distribution function of a discrete probability distribution, continuous probability distribution, and a distribution which has both a continuous part and a discrete part.
Example of the folded cumulative distribution for a normal distribution function with an expected value of 0 and a standard deviation of 1.

In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x.

In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.
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