Author/Authors :
Ajami، M. نويسنده Department of Statistics, School of Mathematical Sciences, Ferdowsi University of , , Fakoor، V. نويسنده , , Jomhoori، S. نويسنده دانشجو- دانشكده علوم رياضي - دانشگاه فردوسي مشهد - مشهد - ايران ,
Abstract :
In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horv?th [10]. All simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by real automobile brake pads data.
