@article {IOPORT.02166026, author = {Goria, M.N. and Leonenko, N.N. and Mergel, V.V. and Novi Inverardi, P.L.}, title = {A new class of random vector entropy estimators and its applications in testing statistical hypotheses.}, year = {2005}, journal = {Journal of Nonparametric Statistics}, volume = {17}, number = {3}, issn = {1048-5252}, pages = {277-297}, publisher = {Taylor \& Francis Ltd., Abingdon, Oxfordshire}, doi = {10.1080/104852504200026815}, abstract = {Summary: This paper proposes a new class of estimators of an unknown entropy of random vectors. 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.}, identifier = {02166026}, }