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Aug
6
awarded  Organizer
Aug
6
comment solve the puzzle
This might be more appropriate for puzzling.stackexchange.com
Aug
6
revised solve the puzzle
added 37 characters in body; edited tags
Aug
6
revised Uniqueness of moments for probability distributions with infinite moments.
edited body
Aug
6
answered Uniqueness of moments for probability distributions with infinite moments.
Aug
6
comment Obtaining a $3$-dimensional simple random walk from a $d$-dimensional simple random walk with $d>3$.
@PedroTamaroff: Correct in addition to showing that these differences are independent, for all $n$.
Aug
6
answered How to calculate route variations/permutations
Aug
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comment Obtaining a $3$-dimensional simple random walk from a $d$-dimensional simple random walk with $d>3$.
@PedroTamaroff: exactly.
Aug
6
revised Obtaining a $3$-dimensional simple random walk from a $d$-dimensional simple random walk with $d>3$.
added 3 characters in body
Aug
6
comment Obtaining a $3$-dimensional simple random walk from a $d$-dimensional simple random walk with $d>3$.
@PedroTamaroff: A Markov process in this context is just that the random walk that you get has transition probabilities which are independent of it's prior history, except the last position. In other words, $P(T_{N(k)} | T_{N(k-1)},...,T_{N(0)} ) = P(T_{N(k)} | T_{N(k-1)})$. You might be able to show that the transitions are uniform but to really be a simple random walk, each step must be independent of the last.
Aug
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comment Are these sigma algebras?
Verify (or disprove) that $\cup_{k\in I} E_k$ belongs to the set, for any countable collection of indices $I$.
Aug
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comment Are these sigma algebras?
You verify the definition. For starters, sigma algebras are closed under complements. So if $A$ belongs to your sigma algebra, then so should $A^c$. They are also closed under countable unions.
Aug
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answered Obtaining a $3$-dimensional simple random walk from a $d$-dimensional simple random walk with $d>3$.
Aug
6
comment Given the moment generating function of a continuous-type r.v, how to find the p.d.f?
The easiest thing to do is to compute the MGF of your $f(x)$ and verify it equals what the question claims. Otherwise, lookup the inverse of a two-sided laplace transform.
Aug
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comment Prove that $z_0$ is a removable singularity
A good start is to state the exact definition of a removable singularity. The answer will follow.
Aug
5
awarded  Civic Duty
Aug
5
comment Show that $f$ has at least one absolute maximum on $[0,+\infty[$
See this question as it's essentially the same: math.stackexchange.com/questions/1374972/…
Aug
5
revised Approximating $\sqrt{1+\frac{1}{n}}$ by $1+\frac{1}{2n}$
added 150 characters in body
Aug
5
revised Approximating $\sqrt{1+\frac{1}{n}}$ by $1+\frac{1}{2n}$
added 150 characters in body
Aug
5
answered Approximating $\sqrt{1+\frac{1}{n}}$ by $1+\frac{1}{2n}$