[問題] Poisson的證明

[PrinceAries (This is Aries Speaking)]

Let X ,X ,...,X  be independent Poisson random variables with respective
     1  2      n

mean μ ,μ ,...,μ .
       1   2       n

Use the tools of moment generating functions to prove that X ,X ,...,X
                                                            1  2      n

is also a Poisson variable.


--------------------------------------------------------------------------

請問各位高手這題要怎麼下手阿...
                                             iid
我看題目都覺得怪怪的，前面已經說 X ,X ,...,X  ～  Poisson，
                                  1  2      n
但是後面又要證X ,X ,...,X 是Poisson???
               1  2      n

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 61.57.69.20
推 haolihy:我猜是要證相加也是Poisson
→ PrinceAries:是喔!!如果是這樣的話應該就OK了^^~謝謝