Convolutions of Heavy Tailed Random Variables and Applications to Portfolio Diversification and MA(1) Time Series
Jaap Geluk (),
Liang Peng and
Casper G. de Vries ()
Additional contact information Jaap Geluk: Econometric Institute, Erasmus University Rotterdam
Liang Peng: Center for Mathematics and its Applications, Australian National University, Canberra
Abstract:
The paper characterizes first and second order tail behavior of convolutions of i.i.d. heavy tailed random variables with support on the real line. The result is applied to the problem of risk diversification in portfolio analysis and to the estimation of the parameter in a MA(1) model.