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Mixture Lognormal Approximations to Lognormal Sum Distributions

IEEE Communications Letters, 2007
In 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
exaly   +3 more sources

Pareto tails and lognormal body of US cities size distribution [PDF]

open access: yesPhysica A: Statistical Mechanics and Its Applications, 2017
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
exaly   +2 more sources

On Poisson Mixture of Lognormal Distributions

Lobachevskii Journal of Mathematics, 2020
Generally, 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
openaire   +2 more sources

The Lognormal Distribution

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
openaire   +1 more source

Lognormal Distributions: Theory and Applications

Technometrics, 1989
Lognormal 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
openaire   +1 more source

Is Alcohol Consumption Lognormally Distributed?

British Journal of Addiction, 1980
SummaryThe empirical evidence for the hypothesis of lognormality is reviewed. A theoretical, argument suggesting systematic deviations from lognormality is outlined, and some ‘new’ data are presented.
openaire   +2 more sources

The lognormal distribution

1999
As already mentioned in sections 4.3, 5.1, 9.1 and 12.7, the normal distribution is not always completely suitable in biology because many biological variates cannot take negative numerical values and have positively skewed frequency distributions (sections 13.2 and 13.7). The lognormal distribution is often better adapted to biological data. While the
openaire   +1 more source

The Normal and Lognormal Distributions

2012
In Chap. 6, we discussed discrete random variables and their distributions. Particularly, we focused on the means and variances of binomial, hypergeometric, and Poisson distributions. Although the distributions derived from these discrete random variables are useful, they are limited.
Cheng-Few Lee, John C. Lee, Alice C. Lee
openaire   +1 more source

Are electromigration failures lognormally distributed?

28th Annual Proceedings on Reliability Physics Symposium, 1990
Electromigration lifetests performed on a variety of Al alloy films to study the form of the failure distribution are discussed. Sample sizes ranged from 35 to 120, allowing exploration near the 1% failure level. Results show that the lognormal rather than the logarithmic extreme value distribution holds where the grain size is smaller than the ...
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Lognormal Distributions and Properties

1999
If Y is normally distributed with mean μ and variance σ2, then the random variable X defined by the relationship Y =log(X - γ) is distributed as lognormal, and is denoted as lognormal(γ,μ,σ2).
N. Balakrishnan, William W. S. Chen
openaire   +1 more source

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