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Approximating Lognormal Sum Distributions With Power Lognormal Distributions

IEEE Transactions on Vehicular Technology, 2008
In 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 ...
Z. Liu, J. Almhana, R. McGorman
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Analysis of lognormal survival data

Mathematical Biosciences, 1997
The failure rate and the mean residual life function (MRLF) of a lognormal distribution are known to be nonmonotonic. It is of interest to study the point at which the monotonicity changes (the change point). In this article we study the change points of the failure rate and the MRLF for the lognormal distribution.
Gupta, Ramesh C.   +2 more
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Tests for normality versus lognormality

Communications in Statistics, 1975
In applied statistics two of the most widely used distributions for continuous random variables are the normal and the lognormal. In this paper we consider the problem of selecting one of these two distributions. Each distribution is allowed to have unknown location and scale parameters and the lognormal has an unknown shape parameter in addition ...
Klimko, L. A.   +2 more
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Near Lognormal Distribution

Journal of Hydrologic Engineering, 2002
The lognormal distribution is frequently used in hydrological studies. However, the distribution is in the form of an integral that cannot be expressed in the form of elementary functions. Thus, the lognormal distribution cannot be used for analytical purposes such as the application of the inverse transform method for generation of a sequence of ...
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Lognormal vs. Gamma: Extra Variations

Biometrical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Hoon   +2 more
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Pseudo-Lognormal Distributions

Journal of the Air Pollution Control Association, 1984
The lognormal distribution is commonly used as a model for the frequency distribution of air quality data. Several other distributions similar in shape to the lognormal distribution may also be useful models for describing air pollution data. One such model is the pseudo-lognormal distribution (PLD) that has been derived by Preston and Norris.
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Pseudo‐Lognormal Distributions

Ecology, 1981
Some statistical “distributions” which, when plotted on an “arithmetical” basis, do not in the least resemble a normal or Gaussian distribution, become very similar to one when plotted on a logarithmic or “geometrical” basis. In this paper I examine in particular the difference of two declining exponential curves, and, as a special case, a simple ...
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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.
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Breakage models: lognormality and intermittency

Journal of Fluid Mechanics, 1990
A breakage model for the statistical distribution of the dissipation rate is proposed: this model, B-model, is a modification of the Gurvich & Yaglom model (1967) taking the criticism of Mandelbrot (1974) into account. The B-model uses the beta distribution for the breakage coefficient α. The universal power spectrum of velocity for the B-model has
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