Catchpole, E.A. and Kgosi, P.M. and Morgan, B.J.T. (2001) On the near-singularity of models for animal recovery data. Biometrics, 57 (3). pp. 720-726. ISSN 0006-341X.
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Certain probability models sometimes provide poor descriptions when fitted to data by maximum likelihood. We examine one such model for the survival of wild animals, which is fitted to two sets of data. When the model behaves poorly, its expected information matrix, evaluated at the maximum likelihood estimate of parameters, has a 'small' smallest eigenvalue. This is due to the fitted model being similar to a parameter-redundant submodel. In this case, model parameters that are precisely estimated have small coefficients in the eigenvector corresponding to the smallest eigenvalue. Approximate algebraic expressions are provided for the smallest eigenvalue. We discuss the general applicability of these results.
|Uncontrolled keywords:||design; information matrix; near singularity; parameter redundancy; perturbation approximation; ring recovery data; smallest eigenvalue|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Judith Broom|
|Date Deposited:||19 Dec 2007 18:25|
|Last Modified:||14 Jan 2010 13:59|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/678 (The current URI for this page, for reference purposes)|
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