A new class of random vector entropy estimators and its applications in testing statistical hypotheses

This paper proposes a new class of estimators of an unknown entropy of random vector. Its asymptotic unbiasedness and consistency are proved. Further, this class of estimators is used to build both goodness-of-fit and independence tests based on sample entropy. A simulation study indicates that the test involving the proposed entropy estimate has higher power than other well-known competitors under heavy tailed alternatives which are frequently used in many financial applications.