Recent content by omaradib

  1. O

    Turing machine, computable function.

    Great question. I am registering to this post in the hope for some answers.
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    Fundamental question about conditional Expectation

    My further guess is \mathbb{E}[Y|X] cannot be meaningful when standing alone. It is accompanied by other operations such as: \mathbb{E}[\mathbb{E}[Y|X]]
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    Fundamental question about conditional Expectation

    Homework Statement I am familiar with the following kind of conditional expectation expression: \mathbb{E}[Y|X=x], where X and Y are random variables. I am wondering what the following conditional expectation stands for: \mathbb{E}[Y|X] How these two are related? How the second...
  4. O

    Relationship between two random variables having same expectation

    Anyone please?
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    Relationship between two random variables having same expectation

    Homework Statement Say, it is known that E_X[f(X)] = E_X[g(X)] = a where f(X) and g(X) are two functions of the same random variable X. What is the relationship between f(X) and g(X)? Homework Equations The Attempt at a Solution My answer is f(X) = g(X) + h(X) where E_X[h(X)] =...
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    Is the Inverse of an Outer-Product Matrix Also an Outer-Product?

    oops! Thanks.
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    Is the Inverse of an Outer-Product Matrix Also an Outer-Product?

    Hi All, This is not a homework or coursework question. Yet I have a curiosity. If a matrix A is an outer-product of a vector v as : A = v v^{\top} Then can A^{-1}, inverse of A, be also expressed as an outer-product of some other vector? Please point me how to approach the...