Chisini mean

In mathematics, a function f of n variables

x1, ..., xn

leads to a Chisini mean M if for every vector <x1, ..., xn>, there exists a unique M such that[1]

f(M,M, ..., M) = f(x1,x2, ..., xn).

The arithmetic, harmonic, geometric, generalised, Heronian and quadratic means are all Chisini means, as are their weighted variants.

They were introduced by Oscar Chisini in 1929.[1]

See also

References
  1. Graziani, Rebecca; Veronese, Piero (2009). "How to Compute a Mean? The Chisini Approach and Its Applications". The American Statistician. 63 (1): 33–36. JSTOR 27644090.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.