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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 |
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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 |