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

Volume

12

Issue

9

fYear

2008

fDate

9/1/2008 12:00:00 AM

Firstpage

630

Lastpage

632

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;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2008.080553

Filename

4623761