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On goodness-of-fit measures for Poisson regression models

Kurosawa, Takeshi; Hui, Francis; Welsh, Alan; Shinmura, Kousuke; Eshima, Nobuoki

Description

In this article, we study the statistical properties of the goodness‐of‐fit measure mpp proposed by (Eshima & Tabata 2007, Statistics & Probability Letters 77, 583-593) for generalised linear models. Focusing on the special case of Poisson regression using the canonical log link function, and assuming a random vector X of covariates, we obtain an explicit form for mpp that enables us to study its properties and construct a new estimator for the measure by utilising information about the shape...[Show more]

CollectionsANU Research Publications
Date published: 2020-10-09
Type: Journal article
URI: http://hdl.handle.net/1885/287072
Source: Australian & New Zealand Journal of Statistics
DOI: 10.1111/anzs.12303

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