问题描述
我需要计算两条曲线之间的面积.我有很多数据，所以我想通过编程来完成.
I need to calculate the area between two curves.I have lots of data, so I'd like to do it programmatically.
基本上，我总是有2个正态分布，根据平均值和标准偏差计算得出.然后，我想计算它们相交的程度.这是我的意思的示例，以及还有一些 R 中的代码(我不知道).
Basically, I always have 2 normal distributions, calculated from a mean value and standard deviation. I would then like to calculate how much they intersect.Here is an example of what I mean, and also some code in R (that I don't know).
在 matplotlib 或 scipy 或其他一些模块中是否已经有一个函数可以为我完成它?万一我必须自己实现它，我认为我应该这样做:
Is there already a function in matplotlib or scipy or some other module that does it for me?In case I have to implement it myself, I think that I should do:
- 找到交点(最多有 2 个)
- 查看交点之前，之间和之后哪个函数较低
- 计算下部函数的积分并将它们全部加在一起
是吗?我该如何完成单个步骤?有功能，模块等可以帮助您吗?
Is that right? How can I do the single steps? Are there functions, modules, etc that can help?
推荐答案
我也不知道 R，但答案似乎在您提供的链接中:只集成最少的发行版.您不需要找到交点，只需将 min(f(x), g(x)) 提供给 scipy.integrate.quad.
I don't know R either, but the answer seems to be in the link you provided: just integrate the minimum of your distributions.You don't need to find intersections, just feed min(f(x), g(x)) to scipy.integrate.quad.
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