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Estimating parameters in the presence of many nuisance parameters

Wu, Billy (2013) Estimating parameters in the presence of many nuisance parameters. MPhil thesis, London School of Economics and Political Science.

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Abstract

This paper considers estimation of parameters for high-dimensional time series with the presence of many nuisance parameters. In particular we are interested in data consisting of p time series of length n, with p to be as large or even larger than n. Here we consider the composite-likelihood estimation and the profile quasi-likelihood estimation. The asymptotic properties of these methodologies are investigated. Simulations are used to illustrate our both of these methods and explore the performance of these methods.

Item Type: Thesis (MPhil)
Additional Information: © 2013 Billy Wu
Uncontrolled Keywords: composite likelihood, nuisance parameter, profile likelihood, quasi-likelihood, root-n convergence, time series.
Library of Congress subject classification: H Social Sciences > HA Statistics
Sets: Departments > Statistics
Supervisor: Yao, Qiwei
URI: http://etheses.lse.ac.uk/id/eprint/545

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