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sonicboom

Computer Science PhD graduate student in UiO, Oslo with a strong interest in math.

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  • Oslo, Norway
  • Member for 7 years, 9 months
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  • Last seen Jul 19 at 16:08

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30 Intuition behind standard deviation Feb 4 '14
6 Can we go from $X_n = \mu + O_p(n^{-1})$ to $E[X_n] = \mu + O(n^{-1})$? Dec 16 '20
5 Is there a formula for the determinant of the covariance matrix $\mathbf{X_n}^T \mathbf{X_n}$ in the case of multiple regression? Mar 22
4 Conditional variance - $Var(X + U | X) = Var(U)$? Aug 5 '14
4 Are the estimated linear regression coefficients still normally distributed if one of the predictors is a factor variable? Nov 3 '20
4 Is $\left\{(\mathbf{X_n}^T\mathbf{X_n}/n)^{-1}\right\}_{n=1}^\infty$ uniformly integrable (UI)? What assumptions make it UI? Dec 10 '20
3 As $n \to \infty$, can we 'ignore' a matrix in an expectation that does not depend on $n$? Mar 31
3 What conditions are needed for $a_n = O_p(n^d) \implies E[a_n] = O(n^d)$? Dec 17 '20
2 Do all moments of a random variable need to be well controlled for a valid 2nd order Taylor approximation, or is the third moment sufficient? Mar 1
2 Rate of convergence of $\hat Q_{xx}^{-1} = \left(\frac{\mathbf{X}^T \mathbf{X}}{n}\right)^{-1}$ to the probability limit? Dec 11 '20
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