On dynamic survival extropy

Recently, Lad et al. proposed an alternative measure of uncertainty of a random variable called extropy. In this paper, we propose a new measure called survival extropy and study some of its properties. We have also considered the dynamic form of the survival extropy. Properties and characterization...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2021-03, Vol.50 (6), p.1295-1313
Main Authors: Abdul Sathar, E. I., Nair R., Dhanya
Format: Article
Language:English
Subjects:
Estimators
hazard function
kernel estimators
mean residual life function
Monte Carlo simulation
ordering
Random variables
Survival
Survival extropy
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Summary:Recently, Lad et al. proposed an alternative measure of uncertainty of a random variable called extropy. In this paper, we propose a new measure called survival extropy and study some of its properties. We have also considered the dynamic form of the survival extropy. Properties and characterization of the new measures are discussed. Moreover, we obtain non parametric estimators for the proposed measure. Monte Carlo simulation study and illustration using real data set are done to verify the performance of the estimators.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2019.1649426