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請問懂簡易統計學的人

請問兩個簡單的統計學問題--
任何一個數字的variance等於什麼? (例: var(3)=?)
E(XY)=E(X)乘以E(Y)嗎?

thanks.
  • 1)3
    2)only if X is independent of Y
  • Thanks zzz~
    第一題我也覺得是3
    但是var(theta*Y)=theta-squared*var(Y)
    所以覺得怪怪的, how did theta become squared...
  • any constant taken out of the braket has to be squared.
    just memorize it. (if u don`t need to prove)
  • then var(3)=9?
  • No.
    Define c=constant, x=variable
    var(c)=c
    var(cx)=c^2var(x)
  • thanks zzz, you seem to be so good at this.. thanks for the answers.. I got an assignment to hand in that`s related to statistics.. Maybe I can ask you more when I got stuck..:)
  • i major in Statistics ^^
    i hope i gave you the right answers tho.
  • a final question please?
    gamma-0 is the variance of a variable
    gamma-1 is the covariance for two variables taht`s one period part (I think you know this, right?)
    Can we convert the expected value of Y_t-1 and Y_t-2 which are one period apart to be in terms of gamma?

    You can choose not to answer if you think it`s too troublesome.. thanks ^^
  • sorry, the expected value of (Y_t-1 and Y_t-2), not the expected values for the two respectively.
  • 美雅
    美雅
    1.常數的變異數=0,所以本題=0
    2. E(XY)要=E(X)*E(Y),其前題是 X 與 Y 之間要互相獨立,否則會有共變異係數的問題,
    所以本題要先看X 與 Y 之間的關係為何
    以上提供參考
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