This paper extends the use of Rao (1982b)'s Quadratic Entropy (RQE) to modern portfolio theory. It argues that the RQE of a portfolio is a valid, exible and unifying approach to measuring portfolio diversification. The paper demonstrates that portfolio's RQE can encompass most existing measures,...

We provide an axiomatic foundation for the measurement of correlation diversification in a one-period portfolio model. We propose a set of eight desirable axioms for this class of diversification measures. We name the measures satisfying these axioms coherent correlation diversification...

Using a novel form of the weight zero or strictly negative lower and positive upper bound constraints mean-variance model in terms of the support vector data description --- a machine learning algorithm --- we bolster the theoretical foundation of weight bound constraints by offering a new...

This paper proposes a new formulation of the maximum diversification indexation strategy based on Rao's Quadratic Entropy. It clarifies the investment problem underlying this diversification strategy, identifies the source of its out-of-sample performance, and suggests new dimensions along which...

This paper provides an axiomatic foundation of the measurement of diversification in a one-period portfolio theory under the assumption that the investor has complete information about the joint distribution of asset returns. Four categories of portfolio diversification measures can be...