A Test to Detect Within-Family Infectivity When the Whole Epidemic Process Is Observed
An epidemic model for the spread of an infectious disease in a population of families is considered. The score test of the hypothesis that there is no higher infectivity between family members is constructed under the assumption that the epidemic process is observed continuously up to some time t. T...
| Veröffentlicht in: | Scandinavian Journal of Statistics. - Blackwell Publishers, 1974. - 24(1997), 3, Seite 315-330 |
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| 1. Verfasser: | |
| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
1997
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| Zugriff auf das übergeordnete Werk: | Scandinavian Journal of Statistics |
| Schlagworte: | counting process epidemic model information martingale theory score process within-family infectivity Health sciences Mathematics Social sciences Behavioral sciences |
| Zusammenfassung: | An epidemic model for the spread of an infectious disease in a population of families is considered. The score test of the hypothesis that there is no higher infectivity between family members is constructed under the assumption that the epidemic process is observed continuously up to some time t. The score process is a martingale as a function of t and by letting the number of families tend to infinity, a central limit theorem for the process can be proved. The central limit theorem not only justifies a normal approximation of the test statistic--it also suggests a smaller variance estimator than expected. |
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| ISSN: | 14679469 |