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The Odd Log-Logistic Log-Normal Distribution with Theory and Applications
Advances in Data Science and Adaptive Analysis, 2018In 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 +3 more
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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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Log-Cumulant Parameter Estimator of Log-Normal Distribution
2014Based 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, 2017ABSTRACTIn this article, we consider the problem of the model selection/discrimination among three different positively skewed lifetime distributions.
Mohammad Z. Raqab +2 more
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Normal or Log-normal: Appropriate Distributions
Nature, 1967I 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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Approximation of a normal distribution by a three‐parameter log normal distribution
Water Resources Research, 1978A 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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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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The normalization of the PVO log N-log P distribution
AIP Conference Proceedings, 1993The 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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