We introduce hereafter a new flexible meta-measurement of portfolio performance, called the Generalized Utility-based N-moment measure, relying both on a characterization of the whole return distribution and on the set of preferences of the investor, which is adapted to analyze the performance of hedge funds. It could also serve as the basis of a Fraudulent Behavior Index aiming to detect fraudulent funds.
Annals of Operations Research, Vol. 313, pp. 1405–1447 , 2022