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Independently distributed and identically distributed (i.i.d): Difference between revisions

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If we have a dataset of n samples denoted by X = [x1, xn], and a probability distribution function (pdf] denoted P, then the i.i.d assumption is that:
If we have a dataset of n samples denoted by X = [x1, xn], and a probability distribution function (pdf] denoted P, then the i.i.d assumption is that:


- Each sample xi comes from the distribution P.
*Each sample xi comes from the distribution P.
- The samples are identically distributed. This means that they are drawn from the exact same distribution.
*The samples are identically distributed. This means that they are drawn from the exact same distribution.


==Applications in Machine Learning==
==Applications in Machine Learning==