A Test to Detect Within-Family Infectivity When the Whole Epidemic Process Is Observed

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...

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Bibliographische Detailangaben
Veröffentlicht in:Scandinavian Journal of Statistics. - Blackwell Publishers, 1974. - 24(1997), 3, Seite 315-330
1. Verfasser: Britton, Tom (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1997
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
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520 |a 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. 
540 |a Copyright 1997 Board of the Foundation of the Scandinavian Journal of Statistics 
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650 4 |a within-family infectivity 
650 4 |a Health sciences  |x Health and wellness  |x Public health  |x Epidemiology  |x Disease outbreaks  |x Epidemics 
650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Random variables  |x Stochastic processes  |x Martingales 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Measures of variability  |x Statistical variance 
650 4 |a Health sciences  |x Medical conditions  |x Infections 
650 4 |a Social sciences  |x Population studies  |x Population characteristics  |x Population size 
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650 4 |a Health sciences  |x Medical specialties  |x Pathology  |x Pathologic processes  |x Disease transmission 
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952 |d 24  |j 1997  |e 3  |h 315-330