Tricomi and Kummer functions in occurrence, waiting time and exceedance statistics |
| |
Authors: | D L Fitzgerald |
| |
Institution: | Met ?ireann, Glasnevin Hill, Dublin 9, Ireland e-mail: denis.fitzgerald@met.ie, IE
|
| |
Abstract: | Three and four parameter distributions of events and intervals based on the Kummer and Tricomi functions are shown to be
statistically tractable. The Kummer distributions cover events less as well as more clustered than the Poisson while the Tricomi
distributions have two and three parameter negative binomials as special cases. This flexibility and the moment relations
between the parameters make them attractive in cases where the Poisson distribution proves inadequate. |
| |
Keywords: | : Estimation Exceedance Kummer function Randomised Poisson process Simulation Tricomi function |
本文献已被 SpringerLink 等数据库收录! |