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 Apr10 comment Example of pairwise independent random process with expected max load $\sqrt{n}$. Feb17 comment Solving the integral $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$? @Ale: As regards your comment, yes, Fubini is applied correctly as stated in my comment. For each fixed $a$, the associated integral is bounded. Hence, Fubini can be used to compute the integral in two ways. Rearranging gives you a bound for $|\int_0^a \frac{\sin x}{x} - \frac{\pi}{2}|$ as a function of $a$. Then, take $a \to \infty$ to get the result. (Note that some argument like this is necessary since $\frac{\sin x}{x}$ is not integrable on $(0,\infty)$ in the Lebesgue sense.) Hope this helps. Cheers. :-) Feb13 awarded Yearling Dec16 awarded Enlightened Dec16 awarded Nice Answer Sep30 awarded Explainer Jun18 comment Does affine equivariance implies shape unbiasedness? Hi @user: The edit is helpful. It doesn't appear to address my remarks on the equivariance definition, though. Cheers. Jun18 comment Does affine equivariance implies shape unbiasedness? Can you clear up the statement of affine equivariance? Currently none of the operations are well defined (matrix multiplication where dimensions don't match and addition of matrix and vector). What, if any, distributional assumptions on $\mathbf X$ are you making? (Independent rows?) Feb19 comment Why does this covariance matrix have additional symmetry along the anti-diagonals? @Michael: Please check the timestamps of the edits and comments. Cheers. Feb16 awarded Nice Answer Feb13 awarded Yearling Jan1 comment Inequalities of the quantile function possible duplicate of Quantile function properties Dec29 comment Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$ Please post the symbolic input you entered. Dec22 comment $\int_{t=-\infty}^x (G(t)-F(t))\mbox{d}t\geq 0\forall x$ and $\frac{\mbox{d}F(t)}{\mbox{d}G(t)}$ increasing $\Longrightarrow G(x)\geq F(x)\forall x$? Are $1-$ and $2-$ supposed to be item identifiers in a list? If so, the way you have it typeset makes it very easy to confuse it with something very different! Dec22 comment Distribution for ratio of dependent quadratic forms. (As a side note, since $\mathbf x_1^T \mathbf x_1^{\perp} = \mathbf x_1^T \mathbf Q^T \mathbf Q x_1^{\perp}$ for any orthogonal $\mathbf Q$ and by standard properties of the multivariate normal, without loss of generality we can assume $\mathbf A$ to be diagonal.) Dec22 comment Distribution for ratio of dependent quadratic forms. Is there a way you can make your question a little more precise. Employing a literal interpretation, this is not even true in the simplest of cases. Take $\boldsymbol{\mu} = 0$ and $\boldsymbol{\Sigma} = \mathbf{A} = \mathbf{I}$ and choose $\mathbf{x}_1 = (x_{0,1}, 0, \ldots, 0)$. Then $s$ cannot be $F$ distributed since $s \geq 1$ with probability 1. Dec7 comment Probability question with false negative and false positive @OldJohn: You may (claim to) be old, but you sure are fast! Beat me by a whisker. :-) Nov28 comment show that if $X\ge 0$ , $E(X)\le \sum_{n=0}^{\infty}P(X>n)$. Crosspost: stats.stackexchange.com/q/77922/2970 Nov25 revised Famous black mathematicians Minor grammatical fixes. Nov25 comment Famous black mathematicians (+1) ...and Blackwell's Theorem, one of the fundamental contributions to renewal theory which extends the elementary renewal theorem. Among (many) other contributions...