On Dynamic Failure Extropy

Nair, Radhakrishnan; Sathar, E. I. Abdul

doi:10.1007/s41096-020-00083-x

Cited by 12 publications

(9 citation statements)

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“…Consider a nonnegative absolutely continuous random variable X with support S X , cdf F and pdf f . The failure extropy of X, denoted by E f (X) is defined as (see also Kundu (2020) and Nair and Sathar (2020))…”

Section: Failure Extropymentioning

confidence: 99%

“…This is known as the proportional reversed hazard rate model. Now, we obtain inequality among the failure extropies of X, X * τ and τ X (see also Nair and Sathar (2020)).…”

Section: Failure Extropymentioning

confidence: 99%

“…The answer is yes. The following implication can be easily obtained from the definitions of the usual stochastic and failure extropy orders (see Nair and Sathar (2020))…”

Section: Failure Extropymentioning

confidence: 99%

“…Thus, uncertainty relies in the inactivity (past) time (t − X|X < t). For the random variable X, the dynamic (past) failure extropy is defined as (see Kundu (2020) and Nair and Sathar (2020))…”

Section: Failure Extropymentioning

confidence: 99%

“…Here, we consider ordering in terms of the DFE given by (3.1). One may refer to Kundu (2020) and Nair and Sathar (2020) for similar order. Definition 3.1.…”

Section: Failure Extropymentioning

confidence: 99%

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Failure extropy, dynamic failure extropy and their weighted versions

Kayal¹

2021

Preprint

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Extropy was introduced as a dual complement of the Shannon entropy (see Lad et al. (2015)). In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic failure extropy characterizes the distribution function uniquely. We also consider weighted versions of these measures. Several virtues of the weighted measures are explored. Finally, nonparametric estimators are introduced based on the empirical distribution function.

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Section: Failure Extropymentioning

confidence: 99%

“…This is known as the proportional reversed hazard rate model. Now, we obtain inequality among the failure extropies of X, X * τ and τ X (see also Nair and Sathar (2020)).…”

Section: Failure Extropymentioning

confidence: 99%

“…The answer is yes. The following implication can be easily obtained from the definitions of the usual stochastic and failure extropy orders (see Nair and Sathar (2020))…”

Section: Failure Extropymentioning

confidence: 99%

Section: Failure Extropymentioning

confidence: 99%

“…Here, we consider ordering in terms of the DFE given by (3.1). One may refer to Kundu (2020) and Nair and Sathar (2020) for similar order. Definition 3.1.…”

Section: Failure Extropymentioning

confidence: 99%

See 3 more Smart Citations