Testing for Poisson arrivals in INAR(1) processes
In the framework of integer-valued autoregressive processes of order 1 [INAR(1)], two new tests for the null hypothesis of Poisson-distributed innovations are developed. The tests focus on time reversibility, as this feature is shown to be satisfied exclusively by Poisson INAR(1) processes. The nece...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 2016
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| In: |
TEST
Year: 2015, Volume: 25, Issue: 3, Pages: 503-524 |
| ISSN: | 1863-8260 |
| DOI: | 10.1007/s11749-015-0466-y |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/s11749-015-0466-y Verlag, Volltext: https://link.springer.com/article/10.1007/s11749-015-0466-y 
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| Author Notes: | Sebastian Schweer, Christian H. Weiß |
| Summary: | In the framework of integer-valued autoregressive processes of order 1 [INAR(1)], two new tests for the null hypothesis of Poisson-distributed innovations are developed. The tests focus on time reversibility, as this feature is shown to be satisfied exclusively by Poisson INAR(1) processes. The necessary asymptotic variances are explicitly calculated using the joint cumulants of these processes. The finite-sample behavior of the test statistics and the power of the tests are investigated in a simulation study. The results show that the newly developed tests perform better than existing ones in certain situations. |
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| Item Description: | Published online: 7 December 2015 Gesehen am 01.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1863-8260 |
| DOI: | 10.1007/s11749-015-0466-y |