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A martingale characterization of Pólya-Lundberg processes
| Content Provider | Scilit |
|---|---|
| Author | Niese, Birgit |
| Copyright Year | 2006 |
| Description | We study exponential families within the class of counting processes and show that a mixed Poisson process belongs to an exponential family if and only if it is either a Poisson process or has a gamma structure distribution. This property can be expressed via exponential martingales. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DC0CE64093341E8EA2982EABCD9A512A/S0021900200002072a.pdf/div-class-title-a-martingale-characterization-of-polya-lundberg-processes-div.pdf |
| Ending Page | 754 |
| Page Count | 14 |
| Starting Page | 741 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s0021900200002072 |
| Journal | Journal of applied probability |
| Issue Number | 03 |
| Volume Number | 43 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2006-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Applied Mathematics Mixed Poisson Process lundberg Process Exponential Family |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |