Fitting the Modified-Power-Lognormal to the Sum of Independent Lognormals Distribution

@article{Szyszkowicz2009FittingTM,
title={Fitting the Modified-Power-Lognormal to the Sum of Independent Lognormals Distribution},
author={Sebastian S. Szyszkowicz and Halim Yanikomeroglu},
journal={GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference},
year={2009},
pages={1-6}
}

We propose a new method for calculating a tight approximation to the distribution of the sum of independent lognormal random variables. We make use of a three–parameter modified–power–lognormal distribution function as the approximating distribution. We use theoretical results from our previous work on the tails of the distribution of the sum of lognormals to match the slope of the modified–power–lognormal function at both tails. This would not have been possible with many of the recently… CONTINUE READING