ZHOU Yong, ZHU Lixing, . Nearest Neighbor Regression Function Estimation with Censored Data[J]. Chinese Journal of Applied Probability and Statistics, 1998, 14(2): 191-202.
Citation: ZHOU Yong, ZHU Lixing, . Nearest Neighbor Regression Function Estimation with Censored Data[J]. Chinese Journal of Applied Probability and Statistics, 1998, 14(2): 191-202.
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Nearest Neighbor Regression Function Estimation with Censored Data

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  • Let （X, Y） be an R2 valued vector with E|Y| ＜∞. Yi are censored by random variables ti with d.f.G and the available observations are of the form （zi, δi, Xi）, 1≤i≤n, where Zi = Yi Λti andδi = I（Yi ≤ ti）. To estimate the regression function m（x0） = E（Y|X =x0）,we propose a Stute’s（1984） type estimator, i.e. the nearest neighbor regression estimator, when the data subject to cellsoring. It is established the strong consistency of the nearest neighbor regression estimator.
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