Date of Award
Fall 2012
Degree Type
Thesis
Degree Name
Master of Science (MSc)
Department
Mathematics and Statistics
Supervisor
Bei Chen
Co-Supervisor
Narayanaswamy Balakrishnan
Language
English
Committee Member
Roman Viveros-Aguilera
Abstract
In this thesis, we apply the Ordinary Least Squares (OLS) and the Generalized Least Squares (GLS) methods for the estimation of Autoregressive Conditional Duration (ACD) models, as opposed to the typical approach of using the Quasi Maximum Likelihood Estimation (QMLE).
The advantages of OLS and GLS as the underlying methods of estimation lie in their theoretical ease and computational convenience. The latter property is crucial for high frequency trading, where a transaction decision needs to be made within a minute. We show that both OLS and GLS estimates are asymptotically consistent and normally distributed. The normal approximation does not seem to be satisfactory in small samples. We also apply Residual Bootstrap to construct the confidence intervals based on the OLS and GLS estimates. The properties of the proposed methods are illustrated with intensive numerical simulations as well as by a case study on the IBM transaction data.
Recommended Citation
El Sebai, Rola S., "Robust Estimation of Autoregressive Conditional Duration Models" (2012). Open Access Dissertations and Theses. Paper 7348.
http://digitalcommons.mcmaster.ca/opendissertations/7348
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