How distributions are related

Most named distributions are built from one another by adding, dividing, squaring or taking limits. Click an arrow (or pick one from the list) to see the relationship and prove it by simulation: the blue histogram is built with the construction on the arrow, and the orange curve is the target distribution. Click a distribution to highlight its connections.

Exact (transformation or special case) Limit / approximation Discrete Continuous

Does it match?

Moments of the constructed samples compared with the target distribution.

StatisticTargetSimulatedDifference