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Math Help - Independence

  1. #1
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    Independence

    Let's say that X1, X2, ..., Xn are iids with mean u and variance sigma^2.

    if I let t1 = (X1-u)/[root(n)*sigma],
    if I let t2 = (X2-u)/[root(n)*sigma], etc

    does that mean that t1, t2... etc are all independent identically distributed - iid's too??

    my gut says yes, because t1 is just X1 (etc) adjusted by constants, right??
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  2. #2
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    Re: Independence

    Quote Originally Posted by fallingleaves75 View Post
    Let's say that X1, X2, ..., Xn are iids with mean u and variance sigma^2.

    if I let t1 = (X1-u)/[root(n)*sigma],
    if I let t2 = (X2-u)/[root(n)*sigma], etc

    does that mean that t1, t2... etc are all independent identically distributed - iid's too??

    my gut says yes, because t1 is just X1 (etc) adjusted by constants, right??
    Yes.
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