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title:
 
How does Sample Size Affect GARCH Models?
publication:
 
JCIS-2006 Proceedings
part of series:
  Advances in Intelligent Systems Research
ISBN:
  978-90-78677-01-7
ISSN:
  1951-6851
DOI:
  doi:10.2991/jcis.2006.139 (how to use a DOI)
author(s):
 
HS Raymond NG, KP LAM
publication date:
 
October 2006
keywords:
 
GARCH model, Multiplicative Error Model, Volatility
abstract:
 
GARCH model has a long history and permeates the modern financial theory. Most researchers use several thousands of financial data and maximum likelihood to estimate the coefficients of model. Statistically, more samples imply better estimation but are hard to obtain. How many samples are sufficient for estimation? What is the impact of the limited samples on the estimation? In this paper, we examined these questions using GARCH, MEM-GARCH models and NASDAQ composite index. The problems, raised from the limited samples, were discussed. Correlation of the conditional variances of the estimated models between the limited samples and the large samples were calculated. The effectiveness of model estimation for the limited samples was evaluated by the correlation.
copyright:
 
© Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
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