J4 ›› 2013, Vol. 48 ›› Issue (09): 40-45.

• Articles • Previous Articles     Next Articles

Consistency NA samples kernel density estimation for censored data

YE Cai-yuan, WU Qun-ying*, WU Xin-ye   

  1. College of Science, Guilin University of Technology, Guilin 541006, Guangxi, China
  • Received:2013-04-04 Online:2013-09-20 Published:2013-09-25

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Abstract:

Under the case that ｛Xn;n≥1｝-and ｛Yn;n≥1｝ are sequence of NA random variables and independent of each other, the kernel estimation of the probability density function of random censored data were studied, and the point-by-point strong consistency and uniform strong consistency of the kernel estimation were obtained.

Key words:  censored date; NA samples; pointwise consistency; uniformly strong consistency

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