A new measure of inaccuracy for record statistics based on extropy

A new measure of inaccuracy for record statistics based on extropy

We introduce a new measure of inaccuracy based on extropy between distributions of the n th upper (lower) record value and parent random variable and discuss some properties of it. A characterization problem for the proposed extropy inaccuracy measure has been studied. It is also shown that the defi...

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Veröffentlicht in:Probability in the engineering and informational sciences 2024-01, Vol.38 (1), p.207-225
Hauptverfasser: Hashempour, Majid, Mohammadi, Morteza
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creator Hashempour, Majid
Mohammadi, Morteza
description We introduce a new measure of inaccuracy based on extropy between distributions of the n th upper (lower) record value and parent random variable and discuss some properties of it. A characterization problem for the proposed extropy inaccuracy measure has been studied. It is also shown that the defined measure of inaccuracy is invariant under scale but not under location transformation. We characterize certain specific lifetime distribution functions. Nonparametric estimators based on the empirical and kernel methods for the proposed measures are also obtained. The performance of estimators is also discussed using a real dataset.
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title A new measure of inaccuracy for record statistics based on extropy
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