Smoothed kernel estimation of bivariate residual entropy function

Abstract

In this article, we propose an estimator for a bivariate residual entropy function based on smoothed kernel procedure. Asymptotic properties of the proposed estimator are established under some regularity conditions. Simulation studies demonstrate that the estimator performs well even for increased sample sizes and different combinations of lifetimes. The performances of the proposed estimator are tabulated and illustrated through a data on recurrence of cancer.

Keywords:

• Bivariate residual entropy
• Real data
• Shannon entropy
• Smoothed estimation

Additional information

Funding

The first author is thankful to SAP-UGC (UGC Letter number F.520/3/DRS-lll/2016(SAP-l) dated 08.03.2016), Government of India, for providing financial support. The second author is thankful to Maulana Azad National Fellowship For Minority Students, University Grants Commission of India, for providing financial support.