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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.
R Mcgorman, J Almhana
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Encyclopedia of Mathematical Geosciences, 2021
Glòria Mateu-Figueras, Ricardo A. Olea
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Glòria Mateu-Figueras, Ricardo A. Olea
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Lognormal Distribution of Local Strain: A Universal Law of Plastic Deformation in Material.
Physical Review Letters, 2020Given the infinite diversity of microstructural inhomogeneity, the variation in spatial distribution of local strain could be infinite. However, this study finds that the statistical distribution of local strain universally follows a lognormal ...
Ao Tang +7 more
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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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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
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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
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Is Alcohol Consumption Lognormally Distributed?
British Journal of Addiction, 1980SummaryThe 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.
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