Non-parametric estimation of reciprocal coordinate subtangent for right censored dependent scheme. Issue 13 (3rd July 2019)

• Record Type: Journal Article
• Authors: Sreejith, T. B.; Sunoj, S. M.; Rajesh, G.
• Is Part Of: Communications in statistics. Volume 48:Issue 13(2019)
• Page Start: 3177
• Page End: 3190
• Publication Date: 2019-07-03
• Subjects: Reciprocal coordinate subtangent (RCST) -- kernel density estimation -- mean squared error (MSE) -- mean integrated squared error (MISE); Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1473610
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: The concept of reciprocal coordinate subtangent (RCST) has been used as a useful tool to study the monotone behavior of a continuous density function and for characterizing probability distributions. In this paper, we propose a non-parametric estimator for RCST based on the censored dependent data. Asymptotic properties of the estimator are established under suitable regularity conditions. A simulation study is carried out to examine the performance of the estimator. The usefulness of the estimator is also examined through a real data.