Catchpole, E.A. and Morgan, B.J.T. and Freeman, S.N. (1998) Estimation in parameter-redundant models. Biometrika, 85 (2). pp. 462-8. ISSN 0006-3444.
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The likelihood surface resulting from a parameter-redundant stochastic model is maximised along a completely flat ridge. This ridge may be orthogonal to some parameter axes, so that these parameters have unique maximum likelihood estimates. For exponential-family models, we show how to determine which parameter combinations are estimable. The approach requires the calculation of a derivative matrix and the determination of its null space, both of which are readily achieved in computer algebra packages. Illustrative examples are drawn from the areas of compartment modelling and ring-recovery analysis.
|Uncontrolled keywords:||compartment modelling; computer algebra; derivative matrix; estimation; exponential family; parameter redundancy; product-multinomial; reparameterisation; ring recovery|
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Q Science > QA Mathematics (inc Computing science)
Q Science > QH Natural history > QH301 Biology
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||I. Ghose|
|Date Deposited:||04 Apr 2009 09:00|
|Last Modified:||26 May 2009 11:52|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/17630 (The current URI for this page, for reference purposes)|
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