2005), and extended to the case of functions/distributions by (Frigyik et al. 2008). This result is important because it further justifies using a mean as a representative of a random set, particularly in Bayesian estimation.
The result from 2005 was subsequently broadened by Frigyik et al. in 2008 to encompass instances of functions and distributions. This outcome holds importance because it solidifies the practice of utilizing a mean as a representative of an indeterminate set, particularly within the context of Bayesian estimation.