基于长偏置数据的一个光滑剩余生命函数估计量(英文)

A Smooth Estimator of Mean Residual Life Function for Length-biased Data

受希勒引理的启发,针对长偏置数据给出一个带泊松权重的平均剩余生命函数的光滑估计量.同时研究了该光滑估计量的渐进性质,例如强相合性及渐进正态性等性质.

Motivated by Hille＇s lemma, we will propose a smooth estimator of mean residual life function with Poisson weights based on length-biased sampling set-up. The asymptotic properties, such as the strong consistency and asymptotic normality, are investigated as well.