Extended Glivenko-Cantelli theorem in length-biased data

In this paper, by using a sampling procedure, subjected to length-bias, the cumulative distribution function F(.) is estimated by the kernel-type estimator. Also.under suitable conditions, the extended Glivenko-Cantelli theorem for that estimator is proved

کلیدواژه ها:

Extended Glivenko-Cantelli theorem ، Length-biased data ، Smoothed estimator ، Strong consistency