We present two new estimators of a stable spectral measure. One is based on
the empirical characteristic function, and the other is based on one-dimen
sional projections of the data. We compare these estimators with the Rachev
-Xin-Cheng estimator in an empirical study. Their applications in modeling
financial portfolios are also discussed. (C) 2001 Elsevier Science Ltd. All
rights reserved.