---
tag: 00MRN0FARV
kind: concept
name: Independent and identically distributed random variables
aliases: [iid, i-i-d, independent-identically-distributed]
msc: [60A05]
sources:
  - url: https://en.wikipedia.org/wiki/Independent_and_identically_distributed_random_variables
    locator: lead section
same_as:
  wikidata: Q378542
  wikipedia: Independent and identically distributed random variables
---

## Summary

A family of random variables is independent and identically distributed (i.i.d.) when the variables are mutually independent and all have the same distribution.
It is the standard model of repeated trials of one experiment. The node [[i.i.d. random variables|0AJN7WHBJZ]] gives the precise definition.