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.

Where:

• 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: