The Method of Simulated Quantiles
31 Pages Posted: 28 Feb 2010 Last revised: 1 Jul 2010
Date Written: May 19, 2010
We introduce an inference method based on quantiles matching, which is useful for situations where the density function does not have a closed form - but it is simple to simulate - and/or moments do not exist. Functions of theoretical quantiles, which depend on the parameters of the assumed probability law, are matched with sample quantiles, which depend on observations. Since the theoretical quantiles may not be available analytically, the optimization is based on simulations. We illustrate the method with the estimation of alpha-stable distributions. A thorough Monte Carlo study and an illustration to 22 financial indexes show the usefulness of the method.
Keywords: Quantiles, simulated methods, alpha-stable distribution, fat tails
JEL Classification: C32, G14, E44
Suggested Citation: Suggested Citation