Thinning operations for modeling time series of counts—a survey |
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Authors: | Christian H Weiß |
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Institution: | (1) Department of Statistics, Institute of Mathematics, University of Würzburg, Würzburg, Germany |
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Abstract: | The analysis of time series of counts is an emerging field of science. To obtain an ARMA-like autocorrelation structure, many
models make use of thinning operations to adapt the ARMA recursion to the integer-valued case. Most popular among these probabilistic
operations is the concept of binomial thinning, leading to the class of INARMA models. These models are proved to be useful,
especially for processes of Poisson counts, but may lead to difficulties in the case of different count distributions. Therefore,
several alternative thinning concepts have been developed. This article reviews such thinning operations and shows how they
are successfully applied to define integer-valued ARMA models. |
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Keywords: | Thinning operations Binomial thinning Count time series INAR(1) models |
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