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Communications in Statistics - Simulation and Computation Volume 32, 2003 - Issue 1
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Original Articles

MSE Comparison of Some Different Estimators of Entropy

P. L. Novi Inverardi Department of Computer and Management Sciences, University of Trento, Trento, ItalyCorrespondence[email protected]
Pages 17-30 | Published online: 02 Sep 2006

References

  • Arizono , I. and Ohta , H. 1989 . A test for normality based on Kullback–Leibler information . Amer. Statist. , 43 : 20 – 22 .
  • Correa , J. C. 1995 . A new estimator of entropy . Commun. Statist.—Theory Meth. , 24 : 2439 – 2449 .
  • Dobrushin , R. L. 1958 . Simplified method of experimental estimate of entropy of stationary sequence . Theory Probab. Applic. , 3 : 462 – 464 .
  • Dudewicz , E. I. and Van der Meuler , E. C. 1981 . Entropy based test of uniformity . J. Amer. Statist. Assoc. , 76 : 974 – 987 .
  • Ebrahimi , N. , Habibullah , M. and Soofi , E. 1992 . Testing exponentiality based on Kullback–Leibler information . J. Roy. Statist. Soc. Ser. B , 54 : 739 – 748 .
  • Gokhale , D. V. 1983 . On entropy-based goodness of fit tests . Computat. Statist. Data Anal. , 1 : 157 – 165 .
  • Goria , M. N. , Leonenko , N. N. and Merguel , V. V. 1998 . Statistical estimators of entropy of random vectors and its applications in testing of statistical hypotheses . Unpublished Manuscript ,
  • Grzegorzewski , P. and Wieczorkowski , R. 1999 . Entropy-based goodness-of-fit test for exponentiality . Commun. Statist.—Theory Meth. , 28 : 1183 – 1202 .
  • Hall , P. and Morton , S. C. 1993 . On the estimation of entropy . Ann. Inst. Statist. Math. , 45 : 69 – 88 .
  • Hutcheson , K. and Shenton , L. R. 1974 . Some moments of an estimate of Shannon's measure of information . Comm. Statist. , 3 : 89 – 94 .
  • Joe , H. 1989 . Estimation of entropy and other functionals of a multivariate density . Ann. Inst. Statist. Math. , 41 : 683 – 697 .
  • Kozachenko , L. F. and Leonenko , N. N. 1987 . On statistical estimation of entropy of random vector . Problems Infor. Transmiss. , 23 : 9 – 16 .
  • Vasicek , O. 1976 . A test of normality based on sample entropy . J. Roy. Stat. Soc., Ser. B , 38 : 254 – 256 .
  • Vatutin , V. A. and Michailov , V. G. 1995 . Statistical estimation of entropy of discrete random variables with large numbers of results . Uspeh. Math. Nauk , 50 : 121 – 134 . Russian
  • van Es , B. 1992 . Estimating functionals related to a density by class of statistics based on spacing. Scand . J. Statist. , 19 : 61 – 72 .

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