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Mar
24
comment High order central moments of a symmetric binomial variable
Since I'm interested in $M^r$, this gives an estimate tight up to a factor exponential in $r$. Will update if I find anything better. Again, thank you very much.
Mar
24
comment High order central moments of a symmetric binomial variable
Thanks! This reference is pretty much what I was looking for.
Mar
24
accepted High order central moments of a symmetric binomial variable
Mar
18
comment High order central moments of a symmetric binomial variable
@BrendanMcKay, I'll try your suggestion and post an answer if I succeed. Thanks!
Mar
18
revised High order central moments of a symmetric binomial variable
edited tags
Mar
18
comment High order central moments of a symmetric binomial variable
@usul, you've actually given my motivation for asking this question. I started by looking for the asymptotics of the number of sequences of vectors in $\{1\ldots n\}^r$ in which each element appears an even number of times. :-)
Mar
17
awarded  Editor
Mar
17
comment High order central moments of a symmetric binomial variable
John, can you tell me what special functions are you referring to? Thanks!
Mar
17
revised High order central moments of a symmetric binomial variable
deleted 49 characters in body
Mar
17
comment High order central moments of a symmetric binomial variable
Joris, I mean asymptotic behaviour as $n\to \infty$. I considered the normal approximation, but from the central limit theorem (at least the standard version), I'm not sure how to bound the error here.
Mar
17
comment High order central moments of a symmetric binomial variable
Thank you. Indeed, the binomial formula yields an exact expression, but what I'm looking for is the asymptotic growth of this expression. I will edit the question to reflect this.
Mar
17
asked High order central moments of a symmetric binomial variable
Mar
18
accepted Probability of a giant component existing in a $G(n,p)$ random graph with $p=\omega(\frac 1n)$
Jan
25
asked Probability of a giant component existing in a $G(n,p)$ random graph with $p=\omega(\frac 1n)$
Sep
10
comment An upper bound for the growth of a Galton-Watson tree with binomial offspring distribution
Will look. Thanks!
Sep
6
comment An upper bound for the growth of a Galton-Watson tree with binomial offspring distribution
I am interested in the case where $np>1$. Specifically, $p=\Theta(\frac{\log n}{n})$.
Sep
5
awarded  Informed
Sep
5
asked An upper bound for the growth of a Galton-Watson tree with binomial offspring distribution
Apr
12
awarded  Supporter
Feb
2
awarded  Student