Authors

• Parvin Kahrobaeian ¹
• Vahid Fakoor ²

¹ Departement of Statistics, Faculty of Sciences, Islamic Azad University, Mashhad Branch, Iran.

² Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran.

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