clement

Questions (36)

 6 Determinant of a matrix of the form $M = I + xx^t$ 6 what does it mean by determinant of Jacobian matrix = 0? 4 How to find orthogonal eigenvectors if some of the eigenvalues are the same? 3 Prove $E[X/Y]\ge1$ for X,Y iid positive random variables. 2 Let $X \sim \exp(1)$, $\operatorname{Cov}(X,Y)=-2$, $E[Y]=-2$, and $\operatorname{Var}(Y)=4$. Find the cdf of $Y$

Reputation (529)

 +10 Determinant of a matrix of the form $M = I + xx^t$ +10 Is the solution to Mean Squared Error also the one to Mean Absolute Error? +10 > Let $X$, $Y$, and $Z$ be three independent uniform random variables on $[0, 1]$. Compute the probability $P(XY < Z^2)$. +10 prove the inequality $\left({1-x\over1+x}\right)^{1/2}\lt{\ln(1+x)\over \arcsin(x)}\lt1$ for $x\in (0,1)$

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Tags (30)

 0 probability × 15 0 probability-distributions × 2 0 linear-algebra × 8 0 jacobian 0 calculus × 5 0 expected-value 0 probability-theory × 3 0 determinant 0 statistics × 3 0 inequality