Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. |
Home Univariate Data Measures of Location Mean Generalized Mean | |||||||||||||||
See also: Literature References - Survey, Matrix Algebra - Fundamentals, Mean | |||||||||||||||
Generalized MeanThe various means, such as the arithmetic, harmonic, or geometric mean, may be generalized into a single concept. Given an integer number p these means can be calculated according to the following formula: Depending on the parameter p the following metrics of the observed values xi result from the formula:
For p = 0 one can show that the limit for p0 approaches the geometric mean. If the arithmetic mean is equal to zero the RMS value corresponds to the standard deviation of the observed values xi.
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Home Univariate Data Measures of Location Mean Generalized Mean |