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Modelling Truncated and Clustered Count Data

Saei, Ayoub and Chambers, Ray (2005) Modelling Truncated and Clustered Count Data , Southampton, UK Southampton Statistical Sciences Research Institute 18pp. (S3RI Methodology Working Papers, M05/10).

Record type: Monograph (Working Paper)


Count response data often exhibit departures from the assumptions of standard Poisson generalized linear models (McCullagh & Nelder 1989). In particular, cluster level correlation of the data and truncation at zero are two common characteristics of such data. In this paper we describe a random components truncated Poisson model that can be applied to clustered and zero-truncated count data. Residual maximum likelihood method estimators for the parameters of this model are developed and their use illustrated using a data set of non-zero counts of sheets with edge strain defects in iron sheets produced by the Mobarekeh Steel Complex, Iran. We also report on a small scale simulation study that supports the estimation procedure.

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Published date: 10 February 2005
Keywords: Cluster, Poisson, Random components, REML, Truncated.


Local EPrints ID: 14303
PURE UUID: 9f44832a-dff9-4b97-84f1-64b8030b07c2

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Date deposited: 10 Feb 2005
Last modified: 17 Jul 2017 16:56

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Author: Ayoub Saei
Author: Ray Chambers

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