S*******w
发帖数: 24236 | 1 x,y 是[0,1]均匀分布
2x，和 x+y 是[0,2]的均匀分布吗？
why? | j*****4
发帖数: 292 | 2 2x is U[0,2].
x+y not sure.if y=x, then x+y is also U[0,2]
if x,y are iid,the shape of pdf is triangle.
sum of infinite iid r.v.s approximates to normal distribution.
【在 S*******w 的大作中提到】
: x,y 是[0,1]均匀分布
: 2x，和 x+y 是[0,2]的均匀分布吗？
: why?
| S*******w
发帖数: 24236 | 3 thanks!
【在 j*****4 的大作中提到】
: 2x is U[0,2].
: x+y not sure.if y=x, then x+y is also U[0,2]
: if x,y are iid,the shape of pdf is triangle.
: sum of infinite iid r.v.s approximates to normal distribution.
| s*****t
发帖数: 737 | 4 what do you mean, the shape of pdf is triangle?
You can compute that the pdf of x+y is still unifrom
【在 j*****4 的大作中提到】
: 2x is U[0,2].
: x+y not sure.if y=x, then x+y is also U[0,2]
: if x,y are iid,the shape of pdf is triangle.
: sum of infinite iid r.v.s approximates to normal distribution.
| i*****e
发帖数: 5233 | 5 it is triangle.
【在 s*****t 的大作中提到】
: what do you mean, the shape of pdf is triangle?
: You can compute that the pdf of x+y is still unifrom
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