DistributionFits

Extends Distributions.jl to

• numerically estimate moments and mode for distributions without analytical formulas for those, i.e. logitnormal distribution
• allow fitting a distribution to a given set of aggregate statistics.
  • to specified moments
  • to mean and upper quantile point
  • to mode and upper quantile point
  • to median and upper quantile point
  • to lower and upper quantiles, i.e confidence range

This can also be used to approximate one distribution via a different distribution by matching its moments.

User needs to explicitly using Optim.jl for DistributionFits.jl to work properly:

using DistributionFits, Optim

Currently, support for the following distributios are implemented:

• Normal
• Lognormal
• Logitnormal
• Exponential
• Weibull (only fitting to two quantiles)
• Gamma (only fitting to two quantiles)

See Documentation