JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (1): 105-110.doi: 10.6040/j.issn.1671-9352.0.2013.308

• Articles • Previous Articles    

The r-th rate of consistency in kernel density estimation for #br# φ-mixed random censored samples

WU Xin-ye, WU Qun-ying   

  1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China
  • Received:2013-06-25 Online:2014-01-20 Published:2014-01-15

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Abstract:

The r-th rate of consistency of the Kaplan-Meier estimation fn(x) for a density function f(x) based on the censored data was obtained when the survival and censoring times form a stationary φ-mixed sequence.

Key words: r-th consistency, φ-mixed sequence, Kaplan-Meier estimation, censored samples

CLC Number: 

  • O212.7
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