Solving problems in parameter redundancy using computer algebra

Solving problems in parameter redundancy using computer algebra
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DOI:
10.1080/02664760120108601
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发表时间:
2002-01-01
影响因子:
1.5
通讯作者:
Viallefont, A
Viallefont, A
中科院分区:
数学4区
文献类型:
--
作者:
Catchpole, EA;Morgan, BJT;Viallefont, A

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A model, involving a particular set of parameters, is said to be parameter redundant when the likelihood can be expressed in terms of a smaller set of parameters. In many important cases, the parameter redundancy of a model can be checked by evaluating the symbolic rank of a derivative matrix. We describe the main results, and show how to construct this matrix using the symbolic algebra package Maple. We apply the theory to examples from the mark-recapture field. General code is given which can be applied to other models.