Social and Behavioral Sciences Commons^™

Test For Infinite Variance In Stock Returns, Xian Ning Yan

Dissertations and Theses Collection (Open Access)

The existence of second order moment or the finite variance is a commonly used assumption in financial time series analysis. We examine the validation of this condition for main stock index return series by applying the extreme value theory. We compare the performances of the adaptive Hill's estimator and the Smith's estimator for the tail index using Monte Carlo simulations for both i.i.d data and dependent data. The simulation results show that the Hill's estimator with adaptive data-based truncation number performs better in both cases. It has not only smaller bias but also smaller MSE when the true tail index …