Non-parametric estimation of reciprocal coordinate subtangent for right censored dependent scheme

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.

Keywords:

• Reciprocal coordinate subtangent (RCST)
• kernel density estimation
• mean squared error (MSE)
• mean integrated squared error (MISE)

Acknowledgment

The second and third authors wish to thank the support of University Grants Commission, India, under the Special Assistance Programme.