What is i.i.d.?
Independent and Identically Distributed
Stands for: Independent and Identically Distributed
i.i.d. explained in plain English
A statistical concept where data points are independent of each other and have the same probability distribution
Analogy
Imagine flipping a coin multiple times. Each flip is independent of the others and has the same probability of landing heads or tails, making the flips i.i.d.
Example
Rolls of a fair die are i.i.d., as each roll is independent and has the same probability distribution of outcomes (1-6)
How is i.i.d. used?
In machine learning and statistics, i.i.d. data is often assumed for modeling and analysis, as it simplifies the mathematical treatment of the data
Common misconceptions about i.i.d.
A common misconception is that i.i.d. data must be normally distributed, when in fact the distribution can be any shape
History
The concept of i.i.d. data has its roots in classical statistics and probability theory, dating back to the early 20th century
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