Abstract
In recent times, there has been a growing interest among researchers in utilizing quantile-based approaches for assessing the uncertainty associated with random variables. Distinct from traditional distribution function methods, quantile-based measurements offer unique perspectives. This paper investigates the extropy of order statistics by introducing a novel approach based on quantiles and explores its properties. Additionally, we present a nonparametric estimator and its application to this new measure using distributions commonly employed in lifetime data analysis.
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Sathar, E.I.A., Vijayan, V.L. A Study on Quantile based Cumulative Residual Extropy of Order Statistics. J Indian Soc Probab Stat 25, 169–197 (2024). https://doi.org/10.1007/s41096-024-00175-y
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DOI: https://doi.org/10.1007/s41096-024-00175-y