Volume 19, Issue 1 (6-2020)                   JIRSS 2020, 19(1): 185-208 | Back to browse issues page

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Department of Statistics, University of Kerala, Thiruvananthapuram - 695 581, India. , sathare@gmail.com
Abstract:   (744 Views)

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.

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Type of Study: Original Paper | Subject: 62Exx: Distribution theory
Received: 2018/01/31 | Accepted: 2019/09/23 | Published: 2020/07/4