Julius
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 6 solve functional equation: $[f(x)]^2-[f(y)]^2$=$f(x+y)f(x-y)$ 5 Find the Möbius transformation that… 4 Expected Value of the maximum of two exponentially distributed random variables 4 Simplify $n^{\log\log n / \log n}$ 4 Finding the number of monotonic paths not crossing the diagonal

### Reputation (1,428)

 +10 Showing $E[X_{n+1}|X_1,…,X_n] = a_0+\Sigma_{k=1}^n a_kX_k$ +10 What can we say about $1-F(x) = x$? +20 Expected value of random permutation +10 Let $T_{a}$ denote the first time the Brownian motion process hits $a$. When $a>0$, then $P\{X(t)\ge a|T_{a}\le t\}=\frac{1}{2}$

### Questions (7)

 7 Singular covariance matrix 4 Two series involving the Gamma function 3 Inequality, Vojtěch Jarník Competition 2006 2 Martingales, finite expectation 1 Orthogonal fitted values

### Tags (53)

 14 probability × 7 6 inequality × 4 12 statistics × 7 6 functional-equations 12 algebra-precalculus × 5 5 stochastic-processes × 7 8 calculus × 4 5 probability-theory × 3 7 combinatorics × 2 5 linear-algebra × 3

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