R：如何求两个分布的总和？ [英] R: How to get a sum of two distributions?
问题描述
我有一个简单的问题。
我想将两个非参数分布求和。
I have a simple question. I would like to sum of two non-parametric distributions.
这里是一个示例。
有两个城市有10栋房屋。我们知道每所房屋的能源消耗。 （已编辑）我想获取从每个城市中选择的随机房屋总和的概率分布。
Here is an example. There are two cities which have 10 houses. we know energy consumption for each house. (edited) I want to get the probability distribution of the sum of a random house chosen from each city.
A1 <- c(1,2,3,3,3,4,4,5,6,7) #10 houses' energy consumption for city A
B1 <- c(11,13,15,17,17,18,18,19,20,22) #10 houses' energy consumption for city B
I分别具有A1和B1的概率分布，如何获得A1 + B1的概率分布？
如果我仅在R中使用 A1 + B1 ，它会给出 12 15 18 20 20 22 22 24 26 29 。但是，我认为这是不对的。因为房子没有顺序。
I have a probability distribution of A1 and B1, how can I get the probability distribution of A1+B1?
If I just use A1+B1 in R, it gives 12 15 18 20 20 22 22 24 26 29. However, I don't think this is right. Becuase there is not order in houses.
当我改变房子的顺序时，会给出另一个结果。
When I change the order of houses, it gives another results.
# Original
A1 <- c(1,2,3,3,3,4,4,5,6,7)
B1 <- c(11,13,15,17,17,18,18,19,20,22)
#change order 1
A2 <- c(7,6,5,4,4,3,3,3,2,1)
B2 <- c(22,20,19,18,18,17,17,15,13,11)
#change order 2
A3 <- c(3,3,3,4,4,5,6,7,1,2)
B3 <- c(17,17,18,18,19,13,20,11,22,15)
sum1 <- A1+B1; sum1
sum2 <- A1+B2; sum2
sum3 <- A3+B3; sum3
红线是sum1，sum2和sum3。我不确定如何获得两个分布之和的分布。谢谢。
Red lines are sum1, sum2, and sum3. I am not sure how can I get the distribution of the sum of two distributions.Please give me any ideas.Thanks!
（如果这些分布是正态分布或均匀分布，我可以很容易地得到分配的总和，但这不是正常现象，没有顺序）
(If those distributions are normal or uniform distributions, I could get the sum of distribution easily, but these are not a normal and there is no order)
推荐答案
您可能想要一些东西像这样：
You probably want something like:
rowSums(expand.grid(A1, B1))
使用 expand.grid 将为您提供A1和B1所有组合以及 rowSums 会添加它们。
Using expand.grid will get you a dataframe of all combinations of A1 and B1, and rowSums will add them.
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