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Does $\operatorname{MSE}(\hat{\theta}) = \operatorname{Var}(\theta)+ \left(\operatorname{Bias}(\hat{\theta},\theta)\right)^2$? |
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Is there efficient way of finding last number in following sequence |
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For which minimal $k$ true is that ${4}^{k}\cdot n\leq \displaystyle\sum^{n}_{i=1}{a}_{i}^{k}\leq {5}^{k}\cdot n$, ${a}_{i}\in {1,2,3,4,5,6}$? |
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What is sum of occurrences of zeros, at the end of integers, up to number n? |
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Checking Sudoku - sufficient sums |
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Are there any Heron-like formulas for convex polygons? |
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Is the Fujiwara bound the most precise bound on maximum absolute value of complex roots of real polynomials? |
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Might such a sequence of mathematical expectations be able to predict uncertain events? |
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Finding next number in sequence - limits of predictability. |
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What is closed-form expression for $F(n)$ when $F(n)=F(n-1)+F(n-2)$ and $F(0)=a$,$F(1)=b$ and $a,b>0$? |
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What is the distribution of empirical covariance between two independent normal distributions? |
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$u$~$N(0,A)$ and z$|u$~$N(u,1)$ how to show that $u|z$~$N(Bz,B)$ where $B=A/(A+1)$? |
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How to obtain estimate of covariance matrix that will be guarantee to be semi-positive define? |
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Find $C$, if $A=CBC$, where $A$,$B$,$C$ are symmetric matrices. |
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What is the sum of $\sum\limits_{i=1}^{n}i^k p^i$? |
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What is the sum of $\sum\limits_{i=1}^{n}ip^i$? |
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What is $f(t)=X_{t+1}$, if $X_{t+1}=(1-p)(1-X_{t})+pX_{t}$ and $X_{0},p \in [0,1]$? |
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What is the number of functions $f : A\rightarrow A, \forall_{x\in{A}} f(f(x))=x$, set $A$ have $n$ distinct elements. |
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Is $M=\{(x,y)\in (0,\infty )\times\mathbb{R} : y=\sin(\frac{1}{x}) \}$ a closed set in space $((0,\infty )\times\mathbb{R} ,\rho_{e})$? |
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Find all limit points of $M=\left \{ \frac{1}{n}+\frac{1}{m}+\frac{1}{k} : m,n,k \in \mathbb{N} \right \}$ in space $(M,\rho_{e})$ |
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