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User:Charles R Greathouse IV/Averages

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This is a collection of different types of averages.

Contents

Power means

This is a list of generalized means, also known as power means or Hölder means. They include the three Pythagorean means: arithmetic, geometric, and harmonic.

Other means

Two variables only

These means are usually defined for only two variables. It's unclear if they can be meaningfully extended to arbitrary finite submultisets of \mathbb{R}.

agm seems to be \le M_{1/2} ghm seems to be \ge M_{-1/2}

Families of means

Beyond these families, most means can be extended to a weighted version.

Robust estimators

See also: Robust statistics, Trimmed estimator, Winsorising

Other measures of central tendency

See also: Central tendency

See also

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