# All Questions

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### Distributions with finite number of moments

Is it easy to provide an example of a distribution that has, say, finite moments of order one and two, but such that $\mathbb{E}[X^k]=\infty$ or does not exist for all $k>2$ (where $k$ is not ...
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### Solving a 2 independent variables (2nd degree) recurrence relation

Changes to the recurrences and definition are changed! See here: $f(n, 1) = 2n^2$ and $f (n, k) = 0$ for $k \geq 2n$ and for $k < 0$ and $f(n, 2n-1) = 1$ for all $n$. Question: Is it possible ...
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### In statistics what does mutually exclusive mean?

For homework a question related to Venn diagrams is 'Are the probabilities of having not used a spinner and not tossed a coin in the game mutually exclusive' Don't know what is meant by it so can't ...
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I have a question about double centralizer therorem. Thanks for any help. " If $A$ is a finite-dimensional central simple algebra over a field $F$ and $B$ is a simple subalgebra of $A$, then $C_A(C_A(... 1answer 174 views ### On the largest and smallest topology on a given set. Let$\{ \mathscr{T}_{\alpha} \}_{\alpha \in \Sigma }$be a family of topologies on a given set$X$. Question: How can I find the unique smallest topology on$X$containing all the collections$\...
Let $k\in \mathbb{N}$ and $p$ an odd prime number which do not divide $a$. We suppose that there is a solution $u_k$ to the equation $x^{2} \equiv a [p^{k}]$. Then, there is only one solution $u_{k+1}$...