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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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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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Log-Normal Distribution of Tablet Pore Diameters
Journal of Pharmaceutical Sciences, 1974The use of the log-normal distribution applied to the pore characteristics of tablets is discussed. An analytical method for the determination of the geometric mean pore diameter is presented and applied to several tablet samples. The method eliminates the necessity of plotting the pore volume data, eliminates subjective evaluation, and is amenable to ...
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The multivariate Poisson-log normal distribution
Biometrika, 1989For the statistical analysis of multivariate counts, as they may arise in ecology as the numbers of different species in geographical areas, a rich parametric class of multivariate count distributions would be useful. After a review of the corresponding literature the paper gives a study of the multivariate Poisson-log normal class of distributions ...
Aitchison, J., Ho, C. H.
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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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On the log-normal distribution of network traffic
Physica D: Nonlinear Phenomena, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antoniou, Ioannis +3 more
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Bayesian and Non-Bayesian Analysis of the Log-Normal Distribution and Log-Normal Regression
Journal of the American Statistical Association, 1971Abstract In this article, Bayesian and non-Bayesian methods for estimating parameters of the log-normal distribution and of log-normal regression processes are considered. Posterior distributions for parameters of interest are derived and their properties are described. With respect to point estimation, a rather broad class of estimators is defined and,
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On the log-normal distribution of electromigration lifetimes
Journal of Applied Physics, 1979It has been shown that a normal temperature distribution within a sample set can produce a log-normal failure rate in electromigration experiments if it is assumed that the equation tf=Aj−n exp(Ef/kT) holds for individual stripe lifetimes. It has also been pointed out that if σ’s determined under accelerated-stress conditions are used to predict ...
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Estimators of Log-Normal Distribution Parameters
IEEE Transactions on Aerospace and Electronic Systems, 1977The maximum likelihood estimates of the median m and mean-to-median ratio ? for a log-normally distributed variate are derived, together with the asymptotic variances of these estimates. Using a Monte Carlo simulation, it is shown that these asymptotic variances of the estimates are reasonable when the number of sample points is N ? 50forp ? 8.
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