Title :
Lognormal Sum Approximation with a Variant of Type IV Pearson Distribution
Author :
Chen, Shaohua ; Nie, Hong ; Ayers-Glassey, Benjamin
Author_Institution :
Dept. of Math, Cape Breton Univ., Sydney, NSW
fDate :
9/1/2008 12:00:00 AM
Abstract :
In this paper, a variant of the Type IV Pearson distribution is proposed to approximate the distribution of the sum of lognormal random variables. Numerical and computer simulations show that independent of the statistical characteristics of the lognormal sum distribution, the Type IV Pearson variant outperforms the standard Type IV Pearson distribution and the normal variant distribution in accurately approximating the lognormal sum distribution for a whole probability range.
Keywords :
log normal distribution; numerical analysis; wireless channels; Type IV Pearson distribution; computer simulations; lognormal random variables; lognormal sum approximation; lognormal sum distribution; normal variant distribution; numerical simulations; wireless channels; wireless communication; Approximation methods; Attenuation; Computer simulation; Curve fitting; Fading; Fluctuations; Helium; Probability; Random variables; Shadow mapping; Lognormal distribution; Type IV Pearson variant; curve fitting; sum of lognormal random variables;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2008.080553
