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Asymptotic behavior of functions, asymptotic series and related topics
21
votes
3
answers
2k
views
Probability of two vectors lying in the same orthant
In particular, I am interested in the asymptotics of large $d \to \infty$ of $f_d(\theta)$ for $\theta \in (0, \frac{1}{2} \pi)$. …
8
votes
2
answers
3k
views
Expectation of Maximum of Uniform Multinomial Distribution
Can we say anything about $\mathbb{E}(m)$, and in particular, its asymptotics as $n \to \infty$? … But I am interested in (exact) asymptotics for the mean, so such approximations don't seem very useful. …
9
votes
2
answers
1k
views
Expected centered entropy of the binomial distribution
.$$
Note that the latter expression does not contain $n$ anymore; I am interested in large-$n$ asymptotics of $I_n(p)$ which leads to the above, $n$-independent expression. …