Journal of the Iranian Statistical Society

Bivariate Extension of Past Entropy

Authors

1 Department of Statistics, CUSAT, Cochin-22, India.

2 Department of Statistics, University of Kerala, Thiruvananthapuram - 695 581, India.

10.29252/jirss.19.1.185

Abstract

Di Crescenzo and Longobardi (2002) has been proposed a measure of uncertainty related to past life namely past entropy. The present paper addresses the question of extending this concept to bivariate set-up and study some properties of the proposed measure. It is shown that the proposed measure uniquely determines the distribution function. Characterizations for some bivariate lifetime models are obtained using the proposed measure. Further, we define new classes of life distributions based on this measure and properties of the new classes are also discussed. We also proposed a non-parametric kernel estimator for the proposed measure and illustrated performance of the estimator using a numerical data.

Keywords

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Journal of the Iranian Statistical Society
Volume 19, Issue 1
June 2020
Pages 185-208
  • Receive Date: 23 July 2022
  • Revise Date: 20 May 2024
  • Accept Date: 23 July 2022