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