On Dynamic Survival Past Extropy Properties‎

Pakdaman, Zohreh; Hashempour‎, Majid

doi:10.52547/jsri.16.1.229

Cited by 4 publications

(3 citation statements)

References 18 publications

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“…Yang et al [32] studied the relations between extropy and variational distance and determined the distribution that attains the minimum or maximum extropy among these distributions within a given variation distance from any given probability distribution. Also, for more details, see [19,20] and references therein. Jahanshahi et al [11] introduced an alternative measure of uncertainty of nonnegative random variable X, which they called the cumulative residual extropy (CRJ), given as…”

Section: Extropymentioning

confidence: 99%

A new measure of inaccuracy for record statistics based on extropy

Hashempour‎

Mohammadi

2023

Prob. Eng. Inf. Sci.

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We introduce a new measure of inaccuracy based on extropy between distributions of the nth 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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Section: Extropymentioning

confidence: 99%

A new measure of inaccuracy for record statistics based on extropy

Hashempour‎

Mohammadi

2023

Prob. Eng. Inf. Sci.

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“…Ref. [25] introduced another uncertainty measure called Dynamic survival past extropy (DSPE) for past lifetime of a system. It is defined for a non-negative rv X with absolutely continuous cdf F X (x) as…”

Section: Introductionmentioning

confidence: 99%

“…It is always less than zero and for t = ∞, it became the cumulative past extropy (CPE) which is given by [25], as…”

Section: Introductionmentioning

confidence: 99%

Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life

Irshad

Archana

Al-Omari

et al. 2023

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In this paper, we refined the concept of past extropy measure for concomitants of order statistics from Farlie-Gumbel-Morgenstern family. In addition, cumulative past extropy measure and dynamic cumulative past extropy measure for concomitant of rth order statistic are also conferred and their properties are studied. The problem of estimating the cumulative past extropy is investigated using empirical technique. The validity of the proposed estimator has been emphasized using simulation study.

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Extropy based inaccuracy measure in order statistics

Mohammadi,

Hashempour

2023

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On Dynamic Survival Past Extropy Properties‎

Cited by 4 publications

References 18 publications

A new measure of inaccuracy for record statistics based on extropy

A new measure of inaccuracy for record statistics based on extropy

Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life

Extropy based inaccuracy measure in order statistics

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