Detecting parameter redundancy

被引：131

作者：

Catchpole, EA ^{[1
]}

Morgan, BJT ^{[1
]}

机构：

[1] UNIV KENT,INST MATH & STAT,CANTERBURY CT2 7NF,KENT,ENGLAND

来源：

BIOMETRIKA | 1997年 / 84卷 / 01期

关键词：

contingency table; diagnostics; identifiability; likelihood; nonlinear model; parameter redundancy; recapture data; recovery data; ridge; symbolic algebra;

D O I：

10.1093/biomet/84.1.187

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Necessary and sufficient conditions are established for the parameter redundancy of a wide class of nonlinear models for data distributed according to the exponential family. The likelihood surfaces for parameter-redundant models possess completely hat ridges. Whether a model is parameter redundant can be established by checking the rank of a derivative matrix, using a symbolic algebra package. A feature of contingency table applications is the need to extend conclusions from particular to general dimensions. We meet this via an extension theorem. Examples are given from the area of animal survival estimation using mark-recapture/recovery data.

引用

页码：187 / 196

页数：10