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Confidence intervals for the coefficient of variation for the normal and log normal distributions
Biometrika, 1964This 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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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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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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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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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, 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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Discrimination Between the Log-Normal and the Weibull Distributions
Technometrics, 1973Charles E Antle
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Applications to Conformable $\alpha$—Log-Normal Distribution
2023 International Conference on Information Technology (ICIT), 2023Maha S. Alsaoudi +2 more
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