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The Odd Log-Logistic Log-Normal Distribution with Theory and Applications

Advances in Data Science and Adaptive Analysis, 2018
In this paper, a new heavy-tailed distribution is used to model data with a strong right tail, as often occuring in practical situations. The proposed distribution is derived from the log-normal distribution, by using odd log-logistic distribution. Statistical properties of this distribution, including hazard function, moments, quantile function, and ...
Ozel, Gamze, Altun, Emrah, Alizadeh, Morad, Mozafari, Mahdieh   +3 more
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The beta log-normal distribution

Journal of Statistical Computation and Simulation, 2013
For 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 M Cordeiro
exaly   +2 more sources

Hearing Impairment and the Log-Normal Distribution

Applied Statistics, 1996
SUMMARY 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., Copas, J. B., Machado, O. A., Davis, A. C.   +3 more
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The Normal and Log-Normal Distributions

1984
The 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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Log-Cumulant Parameter Estimator of Log-Normal Distribution

2014
Based on the second-kind statistics, the log-cumulant estimator is proposed for parameter estimation of the log-normal distribution. The estimates of the shape parameter and scale parameter are independent for the log-cumulant estimator. Parameter estimation results from Monte Carlo simulation demonstrate that, the log-cumulant estimator is insensitive
Zengguo Sun, Jixiang Du
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Discriminating among Weibull, log-normal, and log-logistic distributions

Communications in Statistics - Simulation and Computation, 2017
ABSTRACTIn this article, we consider the problem of the model selection/discrimination among three different positively skewed lifetime distributions.
Mohammad Z. Raqab, Shafiqah A. Al-Awadhi, Debasis Kundu   +2 more
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Approximation of a normal distribution by a three‐parameter log normal distribution

Water Resources Research, 1978
A procedure is given where mixed normal and log normal populations exist; the normal populations can be approximated with three‐parameter log normal (3PLN) distributions to facilitate multivariate stochastic hydrologic disaggregation or generation approaches. Approximations can be made by assuming an arbitrary small value of skew G (0.05‐0.01). For G ≤
Stephen J. Burges, Kiyoshi Hoshi
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Normal or Log-normal: Appropriate Distributions

Nature, 1967
I WISH to point out that for the statistical analysis of certain types of data the assumption that the data are drawn from a normal population is usually wrong, and that the alternative assumption of a log-normal distribution is better. This alternative is widely used by statisticians, economists and physicists, but for some reason is often ignored by ...
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Log-normal distributions in parasitology

Proceedings: Animal Sciences, 1984
A 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, 1972
The 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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