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On the Shifted Hybrid Log-Normal Distribution
Statistica, 2022 The log-normal distribution is widely used to model positive valued data in many areas of applied research. However, sometimes the log-normal distribution does not completely satisfy the fitting expectations in every real life situations.
Damodaran Santhamani Shibu +2 more
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The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020 The divergence between the Pareto distribution and the log-normal distribution has been observed persistently over the past couple of decades in complex network research, economics, and social sciences. To address this, we here propose an approach termed
Minyu Feng +2 more
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A Study on Zografos-Balakrishnan Log-Normal Distribution
Revstat Statistical JournalIn this article, we studied a generalization of the log-normal distribution called Zografos-Balakrishnan log-normal distribution and investigate its various important properties and functions including moments, quantile function, various reliability ...
D. S. Shibu, S. L. Nitin, M. R. Irshad
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Bias Correction Method for Log-Power-Normal Distribution
Mathematics, 2022 The log-power-normal distribution is a generalized version of the log-normal distribution. The maximum likelihood estimation method is the most popular method to obtain the estimates of the log-power-normal distribution parameters.
Tzong-Ru Tsai +3 more
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A Universal Model for the Log-Normal Distribution of Elasticity in Polymeric Gels and Its Relevance to Mechanical Signature of Biological Tissues [PDF]
Biology, 2021 The mechanosensitivity of cells has recently been identified as a process that could greatly influence a cell’s fate. To understand the interaction between cells and their surrounding extracellular matrix, the characterization of the mechanical ...
Arnaud Millet
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Quantile-Based Multivariate Log-Normal Distribution
Symmetry, 2023 We introduce a quantile-based multivariate log-normal distribution, providing a new multivariate skewed distribution with positive support. The parameters of this distribution are interpretable in terms of quantiles of marginal distributions and ...
Daya K. Nagar +5 more
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, 1975 The purpose of this brief note is to share some very simple observations concerning the log-normal distribution. I have found this distribution useful chiefly for two reasons.
Bigelow, J.H.
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Log-epsilon-skew normal: A generalization of the log-normal distribution [PDF]
Communications in Statistics - Theory and Methods, 2020 Alan D Hutson +2 more
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Hutchinsonian Ratios and Log-Normal Distributions [PDF]
Evolution, 1985 It has been proposed that competition among members of a species assemblage leads to constant size ratios among the species ranked in order of average individual size, or to large minimum size ratios (for references, see Simberloff and Boecklen, 1981).
William J, Boecklen, Cathleen, NeSmith
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Mathematics, 2023 It is common in many fields of knowledge to assume that the data under study have a normal distribution, which often generates mistakes in the results, since this assumption does not always coincide with the characteristics of the observations under ...
Roger Tovar-Falón +2 more
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