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LogNormal Distribution Fitting

A log-normal distribution is a statistical distribution of logarithmic values from a related normal distribution. In probability theory, a lognormal (or Galton distribution or Galton's distribution) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is lognormally distributed, then Y = ln(X) has a normal distribution. Likewise, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a lognormal distribution. A random variable which is lognormally 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 fields, e.g. for energies, concentrations, lengths, financial returns and other amounts.

LogNormal Distribution


  • μ is the mean of samples in distribution or continuous location parameter

  • σ is the standard deviation or continuous scale parameter (‹ 0)

We used Accord.Statistics for this calculator

Paste a column data here. In format of excel, text, etc. Each sample in one line.

Calculate the probability of the fitted distribution on: LogNormal Distribution Calculator

LogNormal Distribution:

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