Extropy based on records for random variables representing residual life

In this work, the residual extropy for measuring uncertainty involved in the remaining lifetime of a component has been investigated based on records. Some intriguing properties based on residual extropy of records have been discussed. The study also proposes a simple estimator for residual extropy...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2023-01, Vol.52 (1), p.196-206
Main Authors: Abdul Sathar, E. I., Jose, Jitto
Format: Article
Language:English
Subjects:
Gaussian kernal
Random variables
Records
Residual extropy
Residual extropy ordering
Service life assessment
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Summary:In this work, the residual extropy for measuring uncertainty involved in the remaining lifetime of a component has been investigated based on records. Some intriguing properties based on residual extropy of records have been discussed. The study also proposes a simple estimator for residual extropy of records and the performance of the proposed estimator has been evaluated as well. A detailed discussion about the betterness of using records over the random sample for estimating residual extropy has been presented based on a real life data set.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2020.1851715