Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with asymptotics
Search options not deleted
user 169474
Asymptotic behavior of functions, asymptotic series and related topics
1
vote
Asymptotics of the unique root of a polynomial equation defined as a sum of rational express...
If the $\lambda_i$ take only two different values namely $\lambda_\max > \lambda_\min$, the equation $F(t)=s$ can be written
$$At^2(\lambda_\min+t)^2 + Bt^2(\lambda_\max+t)^2 = s (\lambda_\max+t)^2 (\ …
- 3,808
1
vote
Precise asymptotics for moments of order statistics of normal distribution
I call $f$ the density and $F$ the cumulative distribution function of $\mathcal{N}(0,1)$.
Since $X_{(n)} \ge X_{(n-1)}$,
$$X_{(n)}-X_{(n-1)} = \int_\mathbb{R} 1_{[X_{(n-1)} \le x < X_{(n)}]}dx.$$
Tak …
- 3,808
2
votes
Accepted
Positive, monotone decreasing function, with derivative limit in 0 equal to ∞ submultiplicat...
Define $f$ on $]0,e^{-2}]$ by
$$f(x) = \frac{1}{-\sqrt{x}\ln(x)}.$$
Then $f$ is positive, decreasing since
$$\frac{\mathrm{d}}{\mathrm{d}x}\big(-\sqrt{x}\ln(x)\big) = \frac{-\ln(x)-2}{2\sqrt{x}} \ge 0 …
- 3,808