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Special cases of nonlinear and non-Gaussian models

J. Durbin and S.J. Koopman

in Time Series Analysis by State Space Methods: Second Edition

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199641178
eISBN:
9780191774881
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641178.003.0009
Subject:
Mathematics, Probability / Statistics

This chapter discusses the range of non-Gaussian and nonlinear models that can be analysed using the methods of Part II. The chapter is organized as follows. Section 9.2 considers an important ... More


Standard Asymptotic Theory

Russell Cheng

in Non-Standard Parametric Statistical Inference

Published in print:
2017
Published Online:
September 2017
ISBN:
9780198505044
eISBN:
9780191746390
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198505044.003.0003
Subject:
Mathematics, Probability / Statistics

This book relies on maximum likelihood (ML) estimation of parameters. Asymptotic theory assumes regularity conditions hold when the ML estimator is consistent. Typically an additional third ... More


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