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The beta log-normal distribution
Journal of Statistical Computation and Simulation, 2013For the first time, we introduce the beta log-normal (LN) distribution for which the LN distribution is a special case. Various properties of the new distribution are discussed. Expansions for the cumulative distribution and density functions that do not involve complicated functions are derived.
Gauss Cordeiro
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Hearing Impairment and the Log-Normal Distribution
Applied Statistics, 1996SUMMARY Data on hearing impairment are studied by using a three-parameter log-normal distribution, all of whose parameters depend on covariates. The fitting algorithm is an extension of generalized linear modelling. Questions for research include the estimation of a base-line distribution of hearing threshold levels for an 'unexposed' population and ...
Bowater, R. J. +3 more
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Log-normal distributions in parasitology
Proceedings: Animal Sciences, 1984A uniform log-normal pattern of frequency distribution of cestodes and nematodes in poikilothermic and homeothermic hosts from Garhwal Himalayan ecosystems by size and weight classes during infection period indicates subtle relationship to the range of variation in the earth’s environment.
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The log-normal distribution function
Journal of Chemical Education, 1972The log-normal distribution function is a useful function that could be profitably introduced to the undergraduate and used more frequently in chemical research because of its relatively simple analytical form and the diverse physical mechanisms and models that can generate it.
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Permanence of the Log-Normal Distribution*
Journal of the Optical Society of America, 1968The distribution of the sum of log-normal variates is shown for most cases of interest to be very accurately represented by a log-normal distribution instead of a normal or Rayleigh distribution that might be expected from the central-limit theorem.
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Precipitator efficiency for log-normal distributions
Atmospheric Environment (1967), 1982Abstract The work of Allander and Matts with its subsequent continuation by Matts and Ohnfeldt, on the efficiency of electrostatic precipitation for polydispersed particles, has attracted a certain amount of interest in recent years because of its actual and potential usefulness.
Philip Cooperman, Gene D. Cooperman
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The Normal and Log-Normal Distributions
1984The binomial and Poisson distributions restrict the variable X to integer values. Two theoretical distributions that allow it to assume fractional values as well are the normal and log-normal distributions. Each is applicable to a wide variety of random variables.
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Tail of the distribution of sums of log-normal variates
IEEE Transactions on Information Theory, 1970It is shown that the asymptotic behavior of the tail of the sum distribution of a finite number of individually log-normal distributed variates displays the log-normal character of those variates with maximum logarithmic variance. A quantitative definition of the sum-distribution "tail" is established in terms of upper bounds on the relative error or ...
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Distribution of smallest log-normal and gamma extremes
Statistische Hefte, 1975The asymptotic distribution of the first order statistic X(1) of log-Normal and Gamma samples is considered. The parameters of this extreme value asymptote (Weibull distribution) are approximated in terms of the initial sample size n and the parameters of the initial log-Normal and Gamma measurement models.
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