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Everything about Log-normal distribution
Probability distribution
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is log-normally distributed, then Y = ln X has a normal distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal distribution. A random variable which is log-normally distributed takes only positive real values. It is a convenient and useful model for measurements in exact and engineering sciences, as well as medicine, economics and other topics (e.g., energies, concentrations, lengths, prices of financial instruments, and other metrics). Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Log-normal distributionA 5-minute orientation
- Skim a recent paper: The Use of a Log-Normal Prior for the Student t-DistributionInfluential work since 2022
- Pick up a classic book: Argonauts of the western PacificThe most-reprinted book on the subject
- Read the landmark paper: The multivariate Poisson-log normal distributionCited 283 times
- Go sideways: Folded normal distributionA closely related topic
- Go sideways: Normal distributionA closely related topic
📖 Definitions
Noun A random variable whose logarithm has a normal distribution.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The multivariate Poisson-log normal distribution
Properties of the Log-Normal Particle Size Distribution
Permanence of the Log-Normal Distribution*
Estimating the Parameters of Log-Normal Distribution from Censored Samples
Bayesian and Non-Bayesian Analysis of the Log-Normal Distribution and Log-Normal Regression
Parameter estimation of the hybrid censored log-normal distribution
Progressively Censored Sampling in the Three Parameter Log-Normal Distribution
Pickup Probability of Sediment under Log-Normal Velocity Distribution
🆕 Influential since 2022
The Use of a Log-Normal Prior for the Student t-Distribution
A scale-invariant log-normal droplet size distribution below the critical concentration for protein phase separation
A scale-invariant log-normal droplet size distribution below the critical concentration for protein phase separation
Discriminating between log-normal and log-logistic distributions in the presence of type-II censoring
Statistical Analysis for Log-Normal Distribution in the Presence of Hybrid Censoring and Step-Stress
📚 Books worth reading
Argonauts of the western PacificBronisław Malinowski · 1922
Database system conceptsAbraham Silberschatz · 1997
Treaty Occupationay ToxicologySuelen Queiroz · 2010
The history of Detroit and MichiganSilas Farmer · 1884
Engineering Modelling and AnalysisDavid Walker, Michael Leonard · 2009
Introduction to Multiple Time Series AnalysisHelmut Lütkepohl, Helmut Lutkepohl · 1991- 📕Getting started with data scienceMurtaza Haider · 2015
- 📕Log Normal Distribution NotebookHäfliger 1917 Häfliger 1917 - Switzerland · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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