Abstract
Certain statistical applications deal with the extremal distributions of the number of points in a moving interval or window of fixed length. This article gives an approximation that is highly accurate for several of these distributions. Applications include the maximum cluster of points on a line or circle, multiple coverage by subintervals or subarcs of fixed size, the length of the longest success run in Bernoulli trials, and the generalized birthday problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 177-183 |
| Number of pages | 7 |
| Journal | Journal of the American Statistical Association |
| Volume | 77 |
| Issue number | 377 |
| DOIs | |
| State | Published - Mar 1982 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
Keywords
- Generalized birthday probability
- Longest run
- Maximum cluster
- Multiple coverage
- Scan statistics
- Window statistics