The limit distribution of the largest interpoint distance for distributions supported by ad-dimensional ellipsoid and generalizations
| Autor: | Michael Schrempp |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Limit distribution Applied Mathematics Semi-major axis 010102 general mathematics Mathematical analysis Poisson process Poisson distribution 01 natural sciences Ellipsoid Combinatorics 010104 statistics & probability symbols.namesake symbols Random points 0101 mathematics Mathematics |
| Zdroj: | Advances in Applied Probability. 48:1256-1270 |
| ISSN: | 1475-6064 0001-8678 |
| DOI: | 10.1017/apr.2016.73 |
| Popis: | We study the asymptotic behaviour of the maximum interpoint distance of random points in ad-dimensional ellipsoid with a unique major axis. Instead of investigating only a fixed number ofnpoints asntends to ∞, we consider the much more general setting in which the random points are the supports of appropriately defined Poisson processes. Our main result covers the case of uniformly distributed points. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|