Recent content by saintman4

  1. S

    2 different probability density functions will give the same E(g(x)) or not

    If we have 2 different probability density functions p(x) and q(x). Then we find the expected values of function g(x) by using these 2 different probability density functions. Do both of them give the same expected value?
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    The value of E( (||X-μ||-c)^2 )

    Thank Pere Callahan. But I still don't know how to find E(||X- μ||) as I ask in https://www.physicsforums.com/showthread.php?t=224947 Do you know how to find E(||X- μ||)? Thank you.
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    The value of E( (||X-μ||-c)^2 )

    I would like to ask one more question. X ~ N (μ, σ2) If X = [x1 x2] and μ = [μ1 μ2]. What is the value of E( (||X- μ||-c)^2 )? where c is constant and E(||X- μ||^2)= σ2 Thank ...
  4. S

    E(X-μ) for X and μ Vectors: First Central Moment

    where X ~ N (μ, σ2) I know that if X is random variable, the first central moment E(X-E(X)) = E(X-μ) is zero. But I would like to know if X and μ is vector. For example if X = [x1 x2] and μ = [μ1 μ2]. What is the value of E(X-μ)? Thank you
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