Title :
Least Squares Quadratic (LSQ) Approximation to Lognormal Sum Distributions
Author :
Zhao, Lian ; Ding, Jiu
Author_Institution :
Dept. of Electr. & Comput. Eng., Ryerson Univ., Toronto, Ont.
Abstract :
In this paper, least squares (LS) approximation approach is used to solve the approximation problem of a sum of lognormal random variables. It is shown that least squares quadratic (LSQ) approximation exhibits an excellent match with the simulation results in a wide range of the distributions of the summands. Using the coefficients obtained from the LSQ method, closed-form expressions for the cumulative distribution function (CDF) and the probability density function (pdf) for the sum random variable and its logarithm, are presented
Keywords :
least squares approximations; log normal distribution; wireless channels; CDF; cumulative distribution function; least squares quadratic approximation; lognormal random variables; lognormal sum distributions; probability density function; sum random variable; Attenuation; Communication standards; Communication system control; Distribution functions; Gaussian distribution; Least squares approximation; Mathematics; Probability density function; Random variables; Shadow mapping;
Conference_Titel :
Vehicular Technology Conference, 2006. VTC 2006-Spring. IEEE 63rd
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-9391-0
Electronic_ISBN :
1550-2252
DOI :
10.1109/VETECS.2006.1683384
