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Estimation of Lognormal Distributions

American Journal of Mathematical and Management Sciences, 1981
SYNOPTIC ABSTRACTIn a previous paper, the authors considered modifications of local maximum likelihood estimators for parameters of the three-parameter lognormal distribution which employ the first, second or third order statistic. This paper examines conditional maximum likelihood estimators which employ derivatives of the log-likelihood function with
A. Clifford Cohen, Betty Jones Whitten
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Blvariate Lognormal Probability Distribution

Journal of Structural Engineering, 1984
A procedure for computing structural reliability for the case where the load and resistance (or stress and strength) are lognormally distributed and correlated is presented. Computational steps are outlined and a typical application is illustrated by means of an example problem. The example problem compares the case where the two random variables (load
Nick T. Thoimopoulos, Anatol Longinow
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Is Alcohol Consumption Lognormally Distributed?

British Journal of Addiction, 1980
SummaryThe empirical evidence for the hypothesis of lognormality is reviewed. A theoretical, argument suggesting systematic deviations from lognormality is outlined, and some ‘new’ data are presented.
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Are electromigration failures lognormally distributed?

28th Annual Proceedings on Reliability Physics Symposium, 1990
Electromigration lifetests performed on a variety of Al alloy films to study the form of the failure distribution are discussed. Sample sizes ranged from 35 to 120, allowing exploration near the 1% failure level. Results show that the lognormal rather than the logarithmic extreme value distribution holds where the grain size is smaller than the ...
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The lognormal distribution

1999
As already mentioned in sections 4.3, 5.1, 9.1 and 12.7, the normal distribution is not always completely suitable in biology because many biological variates cannot take negative numerical values and have positively skewed frequency distributions (sections 13.2 and 13.7). The lognormal distribution is often better adapted to biological data. While the
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Poisson-Lognormal Distributions

2018
The Poisson-lognormal distribution was suggested as a model for commonness of species by Preston. The analysis leading him to suggest this distribution was as follows: Suppose that the number of each species caught in a trap is assumed to be a single sample from a Poisson distribution with mean λ. R. S. Uhler and P. G.
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Lognormal Distributions and Properties

1999
If Y is normally distributed with mean μ and variance σ2, then the random variable X defined by the relationship Y =log(X - γ) is distributed as lognormal, and is denoted as lognormal(γ,μ,σ2).
N. Balakrishnan, William W. S. Chen
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Lognormal-type distributions—III

Geochimica et Cosmochimica Acta, 1957
Abstract Aspects of recent papers by Miller and Goldberg , and by Aubrey , are discussed, and further examples of lognormal-type distributions are given. There is now a large body of evidence to show that lognormal-type distributions are very common indeed. Attention is drawn to extreme positive skewness in a histogram of grain-size distribution
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Lognormal Distribution

2021
Glòria Mateu-Figueras, Ricardo A. Olea
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Lognormal bubble size distributions

The Journal of the Acoustical Society of America, 2017
In the study of oceanic bubbles based on empirical acoustics, the distributions among the sizes are typically represented by power laws with negative slopes as convenient descriptors of data in log/log format. However, power laws do not address the fact that as bubble sizes approach zero their numbers must approach zero.
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