Independent and identically distributed random variables

A chart showing uniform distribution. Plot points are scattered randomly, with no pattern or clusters.
A chart showing a uniform distribution

In probability theory and statistics, a collection of random variables is independent and identically distributed (i.i.d., iid, or IID) if each random variable has the same probability distribution as the others and all are mutually independent.[1] IID was first defined in statistics and finds application in many fields, such as data mining and signal processing.

  1. ^ Clauset, Aaron (2011). "A brief primer on probability distributions" (PDF). Santa Fe Institute. Archived from the original (PDF) on 2012-01-20. Retrieved 2011-11-29.

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