Residual extropy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si6.gif"><mml:mi>k</mml:mi></mml:math>-record values

Jose, Jitto; Sathar, E. I. Abdul

doi:10.1016/j.spl.2018.10.019

Cited by 49 publications

(9 citation statements)

References 7 publications

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“…X be emerging from U(0, 1) distribution. Let U (r;n,k,m) be its rth m − gos; then, from (1) and (6), the extropy of U (r;n,k,m) is given by…”

Section: Complexitymentioning

confidence: 99%

“…that is nonnegative with CDF F(x) distribution. en, from (2), (6), and (36), the residual extropy of rth m − gos,…”

Section: Residual and Past Extropy Of M-generalized Order Statistics And Its Dualmentioning

confidence: 99%

“…that is nonnegative with CDF F(x) distribution. en, from (3), (6), and (36), the past extropy of the rth m − gos, X (r;n,k,m) , 1 ≤ r ≤ n, is given by…”

Section: Residual and Past Extropy Of M-generalized Order Statistics And Its Dualmentioning

confidence: 99%

“…Qiu et al [5] presented a mixed systems lifetime via extropy and obtained some features and bounds of it. Recently, Jose and Sathar [6,7] exploited the residual and past extropy of k-records, respectively, emerging from any continuous distribution. For extra studies on extropy, see Qiu and Jia [8], Yang et al [9], Noughabi and Jarrahiferiz [10], Raqab and Qiu [11], and Lad et al [12].…”

Section: Introductionmentioning

confidence: 99%

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Ordered Variables and Their Concomitants under Extropy via COVID‐19 Data Application

et al. 2021

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Extropy, as a complementary dual of entropy, has been discussed in many works of literature, where it is declared for other measures as an extension of extropy. In this article, we obtain the extropy of generalized order statistics via its dual and give some examples from well-known distributions. Furthermore, we study the residual and past extropy for such models. On the other hand, based on Farlie–Gumbel–Morgenstern distribution, we consider the residual extropy of concomitants of m-generalized order statistics and present this measure with some additional features. In addition, we provide the upper bound and stochastic orders of it. Finally, nonparametric estimation of the residual extropy of concomitants of m-generalized order statistics is included using simulated and real data connected with COVID-19 virus.

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“…X be emerging from U(0, 1) distribution. Let U (r;n,k,m) be its rth m − gos; then, from (1) and (6), the extropy of U (r;n,k,m) is given by…”

Section: Complexitymentioning

confidence: 99%

“…that is nonnegative with CDF F(x) distribution. en, from (2), (6), and (36), the residual extropy of rth m − gos,…”

Section: Residual and Past Extropy Of M-generalized Order Statistics And Its Dualmentioning

confidence: 99%

“…that is nonnegative with CDF F(x) distribution. en, from (3), (6), and (36), the past extropy of the rth m − gos, X (r;n,k,m) , 1 ≤ r ≤ n, is given by…”

Section: Residual and Past Extropy Of M-generalized Order Statistics And Its Dualmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ordered Variables and Their Concomitants under Extropy via COVID‐19 Data Application

et al. 2021

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show abstract

“…where f t (x) = f (x)/F (t), x > t. The J t (X) is suitable to measure information when uncertainty is related to the future. For more recent works on extropy, one can also refer to Alizadeh and Jarrahiferiz ( 2019), Noughabi and Jarrahiferiz (2020), Qiu and Jia (2018), Jose and Sathar (2019), Qiu (2017), and Krishnan et al (2020) and the references therein.…”

mentioning

confidence: 99%