Goodness-of-fit tests based on Entropy Estimators

엔트로피 추정에 기초한 적합도 검정

  • 김종태 (대구대학교 자연과학대학 통계학과) ;
  • 차영준 (안동대학교 자연과학대학 통계학과) ;
  • 김영훈 (안동대학교 자연과학대학 통계학과) ;
  • 이재만 (안동대학교 자연과학대학 통계학과) ;
  • 강상길 (경북대학교 자연과학대학 통계학과)
  • Published : 1999.10.31

Abstract

The goal of this paper is to study of the entropy - based on goodness-of-fit tests with several parametric models. It is also to study the relationship of the Moran's test statistic on the view of entropy.

본 연구의 목적은 엔트로피 추정량에 기초한 적합도검정 통계량들을 제시하고 경험적 분포에 기초한 적합도 검정 통계량들과의 검정력을 비교하여 향후 적합도 검정에 사용될 검정력을 선정하는데 그 목적이 있다. 또한 모란 (Moran)의 검정통계량과 엔트로피의 추정을 연구함으로 그 일치성을 알 수 있다.

Keywords

References

  1. IEEE Transactions Inference and Theory v.22 A Nonparametric estimation of the entropy for absolutely continuous distribution Ahmad, I. A.;Lin, P. E.
  2. Communications in Statistics-Theory and Methods v.24 A new estimator of entropy Correa, J. C.
  3. Theory of Probability and Application v.18 On the estimation of functional of the probability density and its derivatives Dmitriev, Y. G.;Tarasenko, F. P.
  4. Journal of the American Statistical Association v.76 Entropy-based tests of uniformity Dudewicz, E. J.;van Der Meulen, E. C.
  5. Communications in Statistics-Theory and Method v.28 Entropy-based goodness-of-fit test for exponentiality Grezegorzewski, P.;Wieczorkowski, R.
  6. PhD Dissertation. University of California A comparative study of entropy estimator and entropy based goodness-of-fit tests Mack, S.
  7. Statistical and Probability Letters v.1 Maximum entropy interpretation of autoregressive spectral densities Parzen, E.
  8. Journal of the Royal Statistics, Society B v.38 A test for normality based on sample entropy Vasicek, O.
  9. Scandinavian Journal of Statistics v.19 Estimating functional related to a density by a class of statistics based on spacing van Es, B.