Observation-Driven Model for Zero-Inflated Daily Counts of Emergency Room Visit Data

Authors

  • Gary Sneddon Department of Mathematics and Computer Sciences, Mount Saint Vincent University, Halifax, Nova Scotia, Canada
  • Wasimul Bari Department of Statistics, Biostatistics and Informatics, University of Dhaka, Dhaka, Bangladesh
  • M. Tariqul Hasan Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, Canada

DOI:

https://doi.org/10.6000/1929-6029.2013.02.03.7

Keywords:

Autocorrelation structure, non-stationary, observation-driven model, quasi-likelihood, zero-inflated Poisson

Abstract

Time series data with excessive zeros frequently occur in medical and health studies. To analyze time series count data without excessive zeros, observation-driven Poisson regression models are commonly used in the literature. As handling excessive zeros in count data is not straightforward, observation-driven models are rarely used to analyze time series count data with excessive zeros. In this paper an observation-driven zero-inflated Poisson (ZIP) model for time series count data is proposed. This approach can accommodate an autoregressive serial dependence structure which commonly appears in time series. The estimation of the model parameters by using the quasi-likelihood estimating equation approach is discussed. To estimate the correlation parameters of the dependence structure, a moment approach is used. The proposed methodology is illustrated by applying it to a data set of daily emergency room visits due to bronchitis.

Author Biographies

Gary Sneddon, Department of Mathematics and Computer Sciences, Mount Saint Vincent University, Halifax, Nova Scotia, Canada

Department of Mathematics and Computer Sciences

Wasimul Bari, Department of Statistics, Biostatistics and Informatics, University of Dhaka, Dhaka, Bangladesh

Department of Statistics, Biostatistics and Informatics

M. Tariqul Hasan, Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, Canada

Department of Mathematics and Statistics

References

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Published

2013-07-30

How to Cite

Sneddon, G., Bari, W., & Hasan, M. T. (2013). Observation-Driven Model for Zero-Inflated Daily Counts of Emergency Room Visit Data . International Journal of Statistics in Medical Research, 2(3), 220–228. https://doi.org/10.6000/1929-6029.2013.02.03.7

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Section

General Articles