A strict approach to approximating lognormal sum distributions

Canadian Conference on Electrical and Computer Engineering

Volumn , Issue , 2006, Pages 916-919

  Zhao, Lian ^a   Ding, Jiu ^b  

^a RYERSON UNIVERSITY   (Canada)

^b The University of Southern Mississippi   (United States)

Author keywords

CDF (cumulative distribution function); Log normal; pdf (probability density function); Sum of log normal

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CURVE FITTING; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING;

CLOSED-FORM EXPRESSIONS; CUMULATIVE DISTRIBUTION FUNCTION; LOGNORMAL SUM DISTRIBUTIONS;

RANDOM VARIABLES;

EID: 38549157276     PISSN: 08407789     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCECE.2006.277813     Document Type: Conference Paper

References (10)

1. N. C. Beaulieu and F. Rajwani, "Highly accurate simple closed-form approximations to lognormal sum distributions and densities," IEEE Communications Letters, vol. 8, no. 12, pp. 709-711, Dec. 2004.
2. S. C. Schwartz and Y. S. Yeh, "On the distribution function and moments of power sums with lognormal components," Bell Syst. Tech. J., vol. 61, no. 7, pp. 1441-1462, 1982.
3. P. Cardieri and T. S. Rappaport, "Statistics of the sum of lognormal variables in wireless communications," Proc. IEEE Vehicular Technology Conf., pp. 1823-1827, 2000.
4. S. B. Slimane, "Bounds on the distribution of a sum of independent lognormal random variables," IEEE Trans. Communications, vol. 49, no. 6, pp. 975-978, June 2001.
5. N. C. Beaulieu and Q. Xie, "An optimal lognormal approximation to lognormal sum distribution," IEEE Trans. Vehicular Tech., vol. 53, no. 2, pp. 479-489, Mar. 2004.
6. L. Zhao and J. Ding, "Least squares quadratic (lsq) approximation to lognormal sum distributions," Proc. IEEE Vehicular Technology Conf., 2006, Spring, to appear.
7. D. Schleher, "Generalized Gram-Charlier Series with application to the sum of lognormal variates," IEEE Trans. Inform. Theory, pp. 275-280, Mar. 1977.
8. F. Berggren and S. B. Slimane, "A simple bound on the outage probability with lognormally distributed interferers," IEEE Communications Letters, vol. 8, no. 5, pp. 271-273, May 2004.
9. A. J. Viterbi, A. M. Viterbi, and E. Zehavi, "Performance of power-controlled wideband terrestrial digital communication," IEEE Trans. Communications, vol. 41, no. 4, pp. 559-569, Apr. 1993.
10. F. Rajwani and N. C. Beaulieu, "Accurate simple closed-form approximations to distributions and densities of lognormal sum random variables," Proc. IEEE Vehicular Technology Conf., vol. 1, pp. 111-114, 2004.