推 alice90426 : 第一題是完整題目嗎 左邊的k跟右邊的du都怪怪的 01/13 15:20
錯慘了.. 謝謝提醒!
※ 編輯: ericrobin (140.109.144.165), 01/13/2015 15:29:02
1. Show that lim Σ[(e^-n)n^k]/k!=0.5 lim {∫[u^(n-1)]e^-u du}/Γ(n) =0.5
n-> ∞ k=0~n n->∞ 0~n
有點詭異, 不知道怎麼整理起....
2. let A be an event and X=1 (w) show that X is a random varible.
A
3. Let X1,...Xn are independent random varibales from an exponential
distribution with rate 1, Yi=ΣXj j=1~i and Zi =Yi/Yi+1, i=1,...=n-1,
Zn=Yn. Show that the random variables Z1,..,Zn are independent.
如果n=3 我還能用轉換法解出來, 但不知怎樣做才能推出一般而言都會成立@@
4. Let X1, X2, X3 be a random sample from a Poisson(λ), Y1=X1+X3
Y2=X2+X3, and Zi=1 i=1,2 Compute the correlation of Z1,Z2.
(Yi=0)_
麻煩大家了Orz
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