作者PrinceAries (This is Aries Speaking)
看板Grad-ProbAsk
標題[問題] Poisson的證明
時間Fri Mar 20 19:57:42 2009
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.
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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
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1F：推 haolihy:我猜是要證相加也是Poisson 03/20 20:00
2F：→ PrinceAries:是喔!!如果是這樣的話應該就OK了^^~謝謝 03/20 20:03