A general framework for modelling zero inflation


Haslett, John and Parnell, Andrew and Sweeney, James (2018) A general framework for modelling zero inflation. Working Paper. arXiv.

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Abstract

We propose a new framework for the modelling of count data exhibiting zero inflation (ZI). The main part of this framework includes a new and more general parameterisation for ZI models which naturally includes both over- and under-inflation. It further sheds new theoretical light on modelling and inference and permits a simpler alternative, which we term as multiplicative, in contrast to the dominant mixture and hurdle models. Our approach gives the statistician access to new types of ZI of which mixture and hurdle are special cases. We outline a simple parameterised modelling approach which can help to infer both ZI type and degree and provide an underlying treatment that shows that current ZI models are themselves typically within the exponential family, thus permitting much simpler theory, computation and classical inference. We outline some possibilities for a natural Bayesian framework for inference; and a rich basis for work on correlated ZI counts. The present paper is an incomplete report on the underlying theory. A later version will include computational issues and provide further examples.

Item Type: Monograph (Working Paper)
Keywords: count data; zero inflation;
Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID: 10257
Identification Number: 1805.00555 [stat.ME]
Depositing User: Andrew Parnell
Date Deposited: 29 Nov 2018 17:58
Publisher: arXiv
URI:

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