Poliomyelitis cases reported to the U.S. Centers for Disease Control for the years 1970 to 1983, that is, 168 observations.
The format is: Time-Series [1:168] from 1970 to 1984: 0 1 0 0 1 3 9 2 3 5 ...
The data were originally modelled by Zeger (1988) who used a parameter driven approach, in which a first order autoregressive model was used for the latent process, to conclude that there is evidence of a decrease in the polio infection rate. The data were analysed also by Li (1994), Zeger and Qaqish (1988), Davis et al. (1999), and by Benjamin et al (2003).
Zeger (1988) w
Benjamin M. A., Rigby R. A. and Stasinopoulos D.M. (2003) Generalised Autoregressive Moving Average Models. J. Am. Statist. Ass., 98, 214-223.
Davis, R. A., Dunsmuir, W. T. M. and Wang, Y. (1999), “Modelling Time Series of Count Data,” in Asymptotics, Nonparametrics and Time Series (ed Subir Ghosh): Marcel Dekker
Zeger, S. L. (1988), “A Regression Model for Time Series of Counts,” Biometrika, 75, 822-835.
Zeger, S. L. and Qaqish, B. (1988), “Markov Regression Models for Time Series: A Quasi-likelihood Approach,” Biometrics, 44, 1019-1032.
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