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Permanence of the Log-Normal Distribution*

Journal of the Optical Society of America, 1968
The 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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Tail of the distribution of sums of log-normal variates

IEEE Transactions on Information Theory, 1970
It 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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The normalization of the PVO log N-log P distribution

AIP Conference Proceedings, 1993
The long duration of the Pioneer Venus Orbitor (PVO) mission has provided coverage of the infrequent, intense Gamma‐Ray Bursts (GRB) that occupy the −3/2 power law region of the log N‐log P distribution. The combination of the PVO events with the BATSE results on weaker events could provide the frequency distribution of GRBs over a range of 104 in ...
E. E. Fenimore   +6 more
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Distribution of smallest log-normal and gamma extremes

Statistische Hefte, 1975
The 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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Confidence intervals for the coefficient of variation for the normal and log normal distributions

Biometrika, 1964
This parameter provides a dimensionless measure of the variability of X relative to its mean which is useful in many practical applications. For example, see Duerst (1956), Goodman (1953) and Weiler (1958). Norris (1938) gives some better measures of relative dispersion than the sample coefficient of variation for certain non-normal random variables ...
Koopmans, L. H.   +2 more
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Log-Normal Distribution of Tablet Pore Diameters

Journal of Pharmaceutical Sciences, 1974
The 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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Mathematical, physical and physiological background of normal distribution, delta distribution and log-normal distribution

International Journal of Modelling, Identification and Control, 2008
The backgrounds of three statistical distributions of measurement data, namely, normal distribution, log-normal distribution and delta distribution are discussed here from the viewpoint of mathematics, physics and physiology. It can proved by means of combination mathematics that the measurement data which fit into normal distribution come from a ...
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Bayesian and Non-Bayesian Analysis of the Log-Normal Distribution and Log-Normal Regression

Journal of the American Statistical Association, 1971
Abstract 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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LOG. Log-Normal Distribution

2007
Stacey J. Shaefer, Louis Theodore
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