Title of article :
A Note on the smooth estimator of the quantile function with left-truncated DATA
Author/Authors :
Kahrobaeian, P. Islamic Azad University, Mashhad Branch - Faculty of Sciences - Departement of Statistics, ايران , Fakoor, V. ferdowsi university of mashhad - Faculty of Mathematical Sciences - Department of Statistics, مشهد, ايران
Abstract :
This note focuses on estimating the quantile function based on the kernel smooth estimator under a truncated dependent model. The Bahadurtype representation of the kernel smooth estimator is established,and from the Bahadur representation it can be seen that this estimator is strongly consistent.
Keywords :
Kiefer process , Law of the iterated logarithm , Strong Gaussian approximation , Strong mixing , Truncated data
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
