At the beginning of 2004, we draw a sample size 0.25 million people from inventory health insurer AOK. We followed their claims until 2013. Our aim is effect stroke on dementia onset probability, for Germans born in first half 20$^{th}$ century. People deceased before 2004 are randomly left-truncated. Filtrations, modelling missing data, enable to circumvent unknown number truncated persons by ...

Kernel density estimators are the basic tools for density estimation in non-parametric statistics.  The k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. In this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...