期刊文献+

Empirical Entropy for Right Censored Data

Empirical Entropy for Right Censored Data
原文传递
导出
摘要 The maximum entropy method has been widely used in many fields, such as statistical mechanics,economics, etc. Its crucial idea is that when we make inference based on partial information, we must use the distribution with maximum entropy subject to whatever is known. In this paper, we investigate the empirical entropy method for right censored data and use simulation to compare the empirical entropy method with the empirical likelihood method. Simulations indicate that the empirical entropy method gives better coverage probability than that of the empirical likelihood method for contaminated and censored lifetime data. The maximum entropy method has been widely used in many fields, such as statistical mechanics,economics, etc. Its crucial idea is that when we make inference based on partial information, we must use the distribution with maximum entropy subject to whatever is known. In this paper, we investigate the empirical entropy method for right censored data and use simulation to compare the empirical entropy method with the empirical likelihood method. Simulations indicate that the empirical entropy method gives better coverage probability than that of the empirical likelihood method for contaminated and censored lifetime data.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第2期395-404,共10页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China(No.11171230,11231010)
关键词 right censored data empirical entropy right censored data empirical entropy
  • 相关文献

参考文献16

  • 1Csiszr, I. Why least squares and maximum entropy? an axiomatic approach to inference for linear inverse problems. Ann. Statist., 19:2032-2066 (1991).
  • 2Gill, R.D. Censoring and Stochastic Integrals. Math. Centre tract 124. Math. Centrum, Amsterdam, 1980.
  • 3Gill, R.D. Large Sample Behavior of the Product-Limit estimator on the whole line. Ann. Statist. 11: 49-58 (1983).
  • 4Hall, P., Presnell, B. Biased bootstrap methods for reducing the effects of contamination. J. Roy. Star. Soc. Ser. B, 61:661-680 (1999).
  • 5Jaynes, E.T. Information theory and statistical mechanics. Phys. Rev., 106:620-630 (1957).
  • 6Jaynes, E.T. On the rational of maximum entropy methods. Proc. IEEE, 70:939-952 (1982).
  • 7Kullback, S., Leibler, R A. On information and sufficiency. Inst. of Math. Statist., 21:79-86 (1951).
  • 8Lai, T.L., Ying, Z., Zheng, Z.K. Asymptotic normality of a class of adaptive statistics with applications to synthetic data methods for censored regression. J. Multi. AnaL, 52(2): 259-279 (1995).
  • 9Newey, W.K.,. Smith, R.J. Higher order properties of gmm generalized empirical likelihood estimators. Econometrica. 72:219-255 (2004).
  • 10Owen, A. Empirical likelihood ratio confidence intervals for a single functional. Biometrika., 75:237-249 (1988).

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部