Name
Abstract | ||
|---|---|---|
We derive a Berry-Esseen bound, essentially of the order of the square of the standard deviation, for the number of maxima in random samples from (0, 1)d. The bound is, although not optimal, the first of its kind for the number of maxima in dimensions higher than two. The proof uses Poisson processes and Stein's method. We also propose a new method for computing the variance and derive an asymptotic expansion. The methods of proof we propose are of some generality and applicable to other regions such as d-dimensional simplex. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1002/rsa.20053 | Random Struct. Algorithms |
Keywords | Field | DocType |
random sample,asymptotic expansion,d-dimensional simplex,standard deviation,poisson process,new method,random sampling,stein s method | Discrete mathematics,Combinatorics,Simplex,Asymptotic expansion,Poisson distribution,Standard deviation,Maxima,Hypercube,Generality,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 3 | 1042-9832 |
Citations | PageRank | References |
9 | 1.14 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhi-Dong Bai | 1 | 85 | 29.46 |
| Luc Devroye | 2 | 819 | 214.10 |
| Hsien-Kuei Hwang | 3 | 365 | 38.02 |
| Tsung-Hsi Tsai | 4 | 81 | 8.20 |