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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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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 ...
R Mcgorman, J Almhana
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Approximating the Sum of Correlated Lognormal or, Lognormal-Rice Random Variables
2006 IEEE International Conference on Communications, 2006 A simple and novel method is presented to approximate by the lognormal distribution the probability density function of the sum of correlated lognormal random variables. The method is also shown to work well for approximating the distribution of the sum of lognormal-Rice or Suzuki random variables by the lognormal distribution.
Neelesh B. Mehta +3 more
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Lognormal and Mixed Gaussian–Lognormal Kalman Filters
Monthly Weather Review, 2023Abstract In this paper we present the derivation of two new forms of the Kalman filter equations; the first is for a pure lognormally distributed random variable, while the second set of Kalman filter equations will be for a combination of Gaussian and lognormally distributed random variables.
Steven J. Fletcher +8 more
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IEEE Transactions on Vehicular Technology, 2015
Modeling the variations in the local mean received power, the shadow fading is a relatively understudied effect in the literature. The inaccuracy of the universally accepted lognormal model is shown in many works. However, proposing other statistical distributions, such as gamma, which are not stemmed from the natural underlying physical process ...
Saliha Buyukcorak +2 more
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Modeling the variations in the local mean received power, the shadow fading is a relatively understudied effect in the literature. The inaccuracy of the universally accepted lognormal model is shown in many works. However, proposing other statistical distributions, such as gamma, which are not stemmed from the natural underlying physical process ...
Saliha Buyukcorak +2 more
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On the Capacity of FSO Links under Lognormal and Rician-Lognormal Turbulences
2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall), 2014A unified capacity analysis under weak and composite turbulences of a free-space optical (FSO) link that accounts for pointing errors and both types of detection techniques (i.e. intensity modulation/direct detection as well as heterodyne detection) is addressed in this work.
Imran Shafique Ansari +2 more
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On the lognormality of radionuclide deposition
Journal of Environmental Radioactivity, 2015The influence of the variation of soil density and the uncertainty of activity measurements on the statistical distribution of radionuclide concentrations on a site is considered. It is demonstrated that the influence of these factors adequately explains the observed deviation of radionuclide empirical probability distribution functions (empirical PDFs)
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On the products of lognormal and cumulative lognormal particle size distributions
Journal of Aerosol Science, 1982Abstract The output distributions of particle size which would result when an input aerosol having a lognormal size distribution is passed through a size classifier (e.g. impactor) or control device (e.g. cyclone) having a cumulative lognormal penetration function are investigated theoretically.
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Journal of Statistical Planning and Inference, 2012 The lognormal distribution is currently used extensively to describe the distribution of positive random variables. This is especially the case with data pertaining to occupational health and other biological data.
Harvey J., van der Merwe A.J.
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Journal of Applied Probability, 1981
Models have been proposed in many diverse areas to generate a lognormal distribution and the underlying idea has always been some form of the law of proportionate effect. In a sense any model must resemble this recipe: take logs and apply the central limit theorem. Our model is no exception. However our formulation is designed to encompass the previous
Brown, Gavin, Sanders, J. W.
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Models have been proposed in many diverse areas to generate a lognormal distribution and the underlying idea has always been some form of the law of proportionate effect. In a sense any model must resemble this recipe: take logs and apply the central limit theorem. Our model is no exception. However our formulation is designed to encompass the previous
Brown, Gavin, Sanders, J. W.
openaire +2 more sources