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Bivariate Dynamic Weighted Survival Entropy of Order 𝛼

Bivariate Dynamic Weighted Survival Entropy of Order 𝛼 AbstractRecently,G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini[G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini, On dynamic weighted survival entropy of order α,Comm. Statist. Theory Methods 46 2017, 5, 2139–2150]proposed a measure of uncertainty based on the survival function called weighted survival entropy of order α.They have also introduced the dynamic form of a measure called dynamic weighted survival entropy of order α and studied various properties in the context of reliability modeling.In this paper, we extend these measures into the bivariate setup and study its properties.We also look into the problem of extending the same measure for conditionally specified models.Empirical and non-parametric estimators are suggested for the proposed measure using the conditionally specified model, and the effect of the proposed estimators is illustrated using simulated and real data sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Bivariate Dynamic Weighted Survival Entropy of Order 𝛼

Economic Quality Control , Volume 34 (2): 19 – Dec 1, 2019

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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2018-0032
Publisher site
See Article on Publisher Site

Abstract

AbstractRecently,G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini[G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini, On dynamic weighted survival entropy of order α,Comm. Statist. Theory Methods 46 2017, 5, 2139–2150]proposed a measure of uncertainty based on the survival function called weighted survival entropy of order α.They have also introduced the dynamic form of a measure called dynamic weighted survival entropy of order α and studied various properties in the context of reliability modeling.In this paper, we extend these measures into the bivariate setup and study its properties.We also look into the problem of extending the same measure for conditionally specified models.Empirical and non-parametric estimators are suggested for the proposed measure using the conditionally specified model, and the effect of the proposed estimators is illustrated using simulated and real data sets.

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2019

References