Correcting moments for goodness of fit tests based on two entropy estimates

Journal of Statistical Computation and Simulation

Volumn 73, Issue 9, 2003, Pages 685-694

  Park, Sangun ^a   Park, Dongryeon ^b  

^a Yonsei University   (South Korea)

^b Hanshin University   (South Korea)

Author keywords

Kullback Leibler information; Maximum entropy; Nonparametric kernel density estimation; Order statistics

Indexed keywords

EID: 0041918864     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/0094965031000070367     Document Type: Article

References (16)

1. Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automated Control, AC-19, 716-723.
2. Arizono, I. and Ohta, H. (1989). A test for normality based on Kullback-Leibler information. American Statistician, 43, 20-22.
3. Bowman, A. W. (1992). Density based tests for goodness-of-fit. Journal of Statistical Computation and Simulation, 40, 1-13.
4. Dudewicz, E. J. and Van Der Meulen, E. C. (1981). Entropy-based tests of uniformity. Journal of the American Statistical Association, 76, 967-974.
5. Dudewicz, E. J. and Van Der Meulen, E. C. (1987). Emiric entropy, a new approach to non-parametric entropy estimation. In: Puir, M. L., Vilaplana, J. P. and Wrtz, W. (Eds.), New Perspectives in Theoretical and Applied Statistics. Wiley, New York, pp. 202-207.
6. Ebrahimi,N., Habibullah and Soofi, E. S. (1992). Testing exponentiality based on Kullback-Leibler information. Journal of the Royal Statistical Society, 54, 739-748.
7. Ebrahimi, N., Pflughoeft, K. and Soofi, E. S. (1994). Two measures of sample entropy. Statistics and Probability Letters, 20, 225-234.
8. Kapur, J. N. and Kesavan, H. K. (1992). Entropy Optimization Principles with Applications, Academic Press, Inc.
9. Kullback, S. and Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22, 79-86.
10. Shannon, C. E. (1948). A mathematical theory of communications. Bell System Technical Journal, 27, 379-423; 623-656.
11. Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
12. Soofi, E. S. (2000). Principal information theoretic approaches. Journal of the American Statistical Association, 95, 1349-1353.
13. Soofi, E. S. and Retzer, J. J. (2002). Information indices: unifications and applications, Journal of Econometrics, 107, 17-40.
14. Soofi, E. S., Ebrahimi, N. and Habibullah, M. (1995). Information distinguishability with application to analysis of failure data. Journal of the American Statistical Association, 90, 657-668.
15. Theil, H. (1980). The entropy of the maximum entropy distribution. Economics Letters, 5, 145-148.
16. Vasicek, O. (1976). A test for normality based on sample entropy. Journal of the Royal Statistical Society, Ser. B, 38, 54-59.