The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...

A. M. Fink and Max Jodeit, Jr. It is shown that the arithmetic mean of $x_1 w_1,\ldots, x_n w_n$ exceeds the geometric mean of $x_1,\ldots, x_n$ unless all the $x$'s ...

There is the use of the Geometric Mean (GM) in place of the Arithmetic Mean (AM), as GM moderates the volatility in prices ...