The use of power transformations for improved entropy estimation

References

• Cooke , P. 1979 . Statistical inference for bounds of random variables . Biometrika , 66 : 367 – 374 .
   Web of Science ®Google Scholar
• Dudewicz , E. J. and van der Meulen , E. C. 1981 . Entropy-based tests of uniformity . Journal of the American Statistical Association , 76 : 967 – 974 .
   Web of Science ®Google Scholar
• Dudewicz , E. J. and van der Meulen , E. C. 1987 . “ The empiric entropy, a new approach to nonparametric entropy estimation ” . In New Perspectives in Theoretical and Applied Statistics , Edited by: Puri , M. L. and Wertz , W. 207 – 227 . New York : John Wiley & Sons .
   Google Scholar
• Gokhale , D. V. 1975 . “ Maximum entropy characterizations of some distributions ” . In Statistical Distributions in Scientific Work , Edited by: Patil , G. P. Reidel : Dorderecht-Boston .
   Google Scholar
• Gokhale , D. V. 1983 . On entropy based goodness of fit tests . Computational Statistics and Data Analysis , 1 : 157 – 165 .
   Web of Science ®Google Scholar
• Gyorfi , L. and van der Meulen , E. C. 1987 . Density-free convergence properties of various estimators of entropy . Computational Statistics and Data Analysis , 5 : 425 – 436 .
   Web of Science ®Google Scholar
• Hinkley , D. “ On quick choice of power transformation ” . In Journal of the Royal Statistical Society , c 67 – 68 .
   Google Scholar
• Kagan , A. M. , Linnik , Y. V. and Rao , C. R. 1973 . Characterization Problems in Mathematical Statistics , New York : John Wiley & Sons .
   Google Scholar
• Kappenman , R. F. 1988 . Robust symmetric distribution locationestimation and regression . Journal of Statistical Planning and Inference , 19 : 55 – 72 .
   Google Scholar
• Kappenman , R. F. 1988 . Detection of symmetry or lack of it and applications . Communications in Statistics-Theory and Methods , 17 : 4163 – 4177 .
   Web of Science ®Google Scholar
• Theil , H. 1988 . Econometric Letters , 5 : 145 – 148 .
   Google Scholar
• Vasicek , O. 1976 . “ A test for normality based on sample entropy ” . In Journal of the Royal Statistical Society , B Vol. 38 , 54 – 59 .
   Google Scholar