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Numerical Methods for Nonlinear Estimating Equations$
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Christopher G. Small and Jinfang Wang

Print publication date: 2003

Print ISBN-13: 9780198506881

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198506881.001.0001

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(p.1) 1 Introduction
Numerical Methods for Nonlinear Estimating Equations

Christopher G. Small

Jinfang Wang

Oxford University Press

The first part of this chapter provides some background information on the problem of nonlinearity arising in statistical inference. In particular, it discusses the problem of multiple roots and explains why the problem of multiple roots is complicated when using non-conservative estimating functions. The second part of the chapter gives a detailed introduction to each following chapter in the book.

Keywords:   artificial likelihood, consistency of MLE, efficiency of MLE, estimating equation, iterative algorithm, likelihood inference, multiple roots, Newton-Raphson method, non-conservative estimating equation, quasi-score

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