Title :
Lognormal Sum Approximation with Type IV Pearson Distribution
Author :
Nie, Hong ; Chen, Shaohua
Author_Institution :
Univ. of Northern Iowa, Cedar Falls
fDate :
10/1/2007 12:00:00 AM
Abstract :
In this paper, the Type IV Pearson distribution is proposed to approximate the distribution of the sum of lognormal random variables, and the parameters of the Type IV Pearson distribution are derived through matching the mean, variance, skewness and kurtosis of the two distributions. Numerical simulations show that the Type IV Pearson distribution can accurately approximate distribution of the sum of lognormal random variables in a wide probability range.
Keywords :
normal distribution; numerical analysis; probability; radiocommunication; Type IV Pearson distribution; lognormal sum approximation; numerical simulations; probability range; Approximation methods; Attenuation; Fading; Fluctuations; Helium; Numerical simulation; Power system modeling; Probability distribution; Random variables; Shadow mapping;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2007.070842
