PowerMean¶

Inputs¶

• array (vector_real) - the input array (must contain only positive real numbers)

Outputs¶

• powerMean (real) - the power mean of the input array

Parameters¶

• power (real ∈ (-∞, ∞), default = 1) :

  the power to which to elevate each element before taking the mean

Description¶

This algorithm computes the power mean of an array. It accepts one parameter, p, which is the power (or order or degree) of the Power Mean. Note that if p=-1, the Power Mean is equal to the Harmonic Mean, if p=0, the Power Mean is equal to the Geometric Mean, if p=1, the Power Mean is equal to the Arithmetic Mean, if p=2, the Power Mean is equal to the Root Mean Square.

Exceptions are thrown if input array either is empty or it contains non positive numbers.

References:

[1] Power Mean – from Wolfram MathWorld, http://mathworld.wolfram.com/PowerMean.html [2] Generalized mean - Wikipedia, the free encyclopedia, https://en.wikipedia.org/wiki/Generalized_mean

Source code¶

• C++ source code

• C++ header file

See also¶

Mean (standard) Mean (streaming) PowerMean (streaming)