Weighted Entropy Measure: A New Measure of Information with its Properties in Reliability Theory and Stochastic Orders

DOI

10.2991/jsta.2018.17.4.11How to use a DOI?

Keywords

Shannon information; mean residual life; mean reversed life

Abstract

The weighted entropy measure is a germane dynamic measure of uncertainty in reliability and survival studies. In this paper, the new results of weighted entropies with some characterizations are provided. Furthermore, we have presented some results for weighted entropy residual and weighted past residual of order statistics with some application of some reliability systems such as a series structure and a parallel structure. In addition, we introduced the lower bound for the weighted residual (past) entropy. Moreover, the stochastic orders based on weighted entropy are presented. Finally, we illustrate the usefulness of the proposed non-parametric estimators of weighted entropy by application to real data.

Copyright

© 2018 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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TY  - JOUR
AU  - M. Ramadan
PY  - 2018
DA  - 2018/12/31
TI  - Weighted Entropy Measure: A New Measure of Information with ts Properties in Reliability Theory and Stochastic Orders
JO  - Journal of Statistical Theory and Applications
SP  - 703
EP  - 718
VL  - 17
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.4.11
DO  - 10.2991/jsta.2018.17.4.11
ID  - Ramadan2018
ER  -