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On Kernel Density Estimation Based on Different Stratified Sampling With Optimal Allocation
Communications in Statistics - Theory and Methods
  • Hani M. Samawi, Georgia Southern University
  • Arpita Chatterjee, Georgia Southern University
  • Jingjing Yin, Georgia Southern University
  • Haresh Rochani, Georgia Southern University
Document Type
Article
Publication Date
8-7-2017
DOI
10.1080/03610926.2016.1257714
Abstract

Kernel density estimation is probably the most widely used non parametric statistical method for estimating probability densities. In this paper, we investigate the performance of kernel density estimator based on stratified simple and ranked set sampling. Some asymptotic properties of kernel estimator are established under both sampling schemes. Simulation studies are designed to examine the performance of the proposed estimators under varying distributional assumptions. These findings are also illustrated with the help of a dataset on bilirubin levels in babies in a neonatal intensive care unit.

Citation Information
Hani M. Samawi, Arpita Chatterjee, Jingjing Yin and Haresh Rochani. "On Kernel Density Estimation Based on Different Stratified Sampling With Optimal Allocation" Communications in Statistics - Theory and Methods Vol. 46 Iss. 22 (2017) p. 10973 - 10990 ISSN: 1532-415X
Available at: http://works.bepress.com/hani_samawi/132/