数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (2): 230-240.

• 论文 • 上一篇    

SOME LARGE SAMPLE PROPERTIES OF AN ESTIMATOR OF THE HAZARD FUNCTION FROM RANDOMLY CENSORED DATA

王启华   

  1. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:1995-03-25 修回日期:1995-12-26 出版日期:1997-06-25 发布日期:1997-06-25
  • 基金资助:
    This project was supported by China Postdoctoral Science Foundation.

SOME LARGE SAMPLE PROPERTIES OF AN ESTIMATOR OF THE HAZARD FUNCTION FROM RANDOMLY CENSORED DATA

Wang Qihua   

  1. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China
  • Received:1995-03-25 Revised:1995-12-26 Online:1997-06-25 Published:1997-06-25
  • Supported by:
    This project was supported by China Postdoctoral Science Foundation.

摘要: In this paper, A nonparametric hazard estimtor is introduced. Weak convergence and strong uniformly coinsistency of the proposed estimator λn(t) are investigated on a bounded interval, respectively. An asymptotic representation of λn(t) is also given, and the asymptotic representation is used to prove asymptotic normality of the hazard estimator.

关键词: Weak Convergence, Strong Consistency, Asymptotic Representation, Asymptotic Normality

Abstract: In this paper, A nonparametric hazard estimtor is introduced. Weak convergence and strong uniformly coinsistency of the proposed estimator λn(t) are investigated on a bounded interval, respectively. An asymptotic representation of λn(t) is also given, and the asymptotic representation is used to prove asymptotic normality of the hazard estimator.

Key words: Weak Convergence, Strong Consistency, Asymptotic Representation, Asymptotic Normality