Means as Improper Integrals

The aim of this work is to study generalizations of the notion of the mean. Kolmogorov proposed a generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the weak law of large numbers in the same way that the ordinary mean re...

Full description

Bibliographic Details
Main Authors: John E. Gray, Andrew Vogt
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/3/284