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Approximating Lognormal Sum Distributions With Power Lognormal Distributions
IEEE Transactions on Vehicular Technology, 2008In wireless communications, cochannel interference is usually characterized by a sum of lognormal random variables. Since the characteristic function of a lognormal distribution lacks explicit expression, and numerical calculation of a lognormal sum distribution is very challenging, lognormal distributions are often used to approximate lognormal sum ...
J Almhana
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An Optimal Lognormal Approximation to Lognormal Sum Distributions
IEEE Transactions on Vehicular Technology, 2004Sums of lognormal random variables occur in many problems in wireless communications because signal shadowing is well modeled by the lognormal distribution. The lognormal sum distribution is not known in the closed form and is difficult to compute numerically.
N C Beaulieu
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Mixture Lognormal Approximations to Lognormal Sum Distributions
IEEE Communications Letters, 2007In wireless communication, co-channel interference is usually characterized by a sum of lognormal random variables. Since calculating the exact distribution of a lognormal sum has a lot of challenges, lognormal distributions are often used to approximate lognormal sum distributions.
J Almhana
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Pareto Tails and Lognormal Body of US Cities Size Distribution [PDF]
We consider a distribution, which consists of lower tail Pareto, lognormal body, and upper tail Pareto, to estimate the size distribution of all US cities.
Jeff Luckstead, Stephen Devadoss
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On Poisson Mixture of Lognormal Distributions
Lobachevskii Journal of Mathematics, 2020Generally, jump-diffusion processes used in finance are confined to the processes with Brownian motion, constant trend and jump component, described by compound Poisson processes (CPP). CPP is usually defined by a sum of standard normal distributions. In most applications one either needs moments or characteristic function of the process.
Kechejian, H. +2 more
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The College Mathematics Journal, 2000
(2000). The Lognormal Distribution. The College Mathematics Journal: Vol. 31, No. 4, pp. 259-261.
Brian E. Smith, Francis J. Merceret
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(2000). The Lognormal Distribution. The College Mathematics Journal: Vol. 31, No. 4, pp. 259-261.
Brian E. Smith, Francis J. Merceret
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Lognormal Distributions: Theory and Applications
Technometrics, 1989Lognormal Distributions: Theory and Applications (Statistics: Textbooks and Monographs Series, Vol. 88). Edited by E. L. Crow and K. Shimizu. ISBN 0 8247 7803 0. Dekker, New York, 1988. 408 pp. $79.75 (USA and Canada), $95.50 (elsewhere).
M. J. Fryer, E. L. Crow, K. Shimizu
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