Concomitants of Generalized Order Statistics from Bivariate Cambanis Family of Distributions Under a General Setting

Alawady, M. A.; Barakat, H. M.; Elgawad, M. A. Abd

doi:10.1007/s40840-021-01102-1

Cited by 24 publications

(7 citation statements)

References 28 publications

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“…The literature teems with several results of the Shannon entropy and its related measures. Interested readers may refer to [14][15][16][17][18] for the Shannon entropy, Kullback-Leibler divergence, and Fisher information number; [19,20] for fractional cumulative residual entropy and cumulative residual entropy, respectively; [13,[21][22][23][24] for the Tsallis entropy and its related measures; and finally [25,26] for the extropy and Rényi entropy and its applications, respectively.…”

Section: Introductionmentioning

confidence: 99%

Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings

et al. 2022

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The Tsallis entropy is an extension of the Shannon entropy and is used extensively in physics. The cumulative residual Tsallis entropy, which is a generalization of the Tsallis entropy, plays an important role in the measurement uncertainty of random variables and has simple relationships with other important information and reliability measures. In this paper, some novel properties of the cumulative residual Tsallis entropy are disclosed. Moreover, this entropy measure is applied to testing the uniformity, where the limit distribution and an approximation of the distribution of the test statistic are derived. In addition, the property of stability is discussed. Furthermore, the percentage points and power against seven alternative distributions of this test statistic are presented. Finally, to compare the power of the suggested test with that of other tests of uniformity, a simulation study is conducted.

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Section: Introductionmentioning

confidence: 99%

Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings

et al. 2022

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“…Barakat and Husseiny [6] and Abd Elgawad et al7] studied some information measures in concomitants of m-GOSs under iterated FGM and Huang-Kotz FGM, respectively. Abd Elgawad et al [8] and Alawady et al [9] investigated some properties of concomitants of m-GOS from the bivariate Cambanis family. Mohamed et al [10] studied the residual extropy of concomitants of m-GOSs based on FGM distribution and presented a nonparametric estimation for this measure.…”

Section: Introductionmentioning

confidence: 99%

Measures of Extropy for Concomitants of Generalized Order Statistics in Morgenstern Family

2022

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In this paper, a measure of extropy is obtained for concomitants of m-generalized order statistics in the Morgenstern family. The cumulative residual extropy (CREX) and negative cumulative extropy (NCEX) are presented for the rth concomitant of m-generalized order statistics. In addition, the problem of estimating the CREX and NCEX is studied utilizing the empirical method in concomitants of m-generalized order statistics. Some applications of these results are given for the concomitants of order statistics and record values.

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“…Some examples of these important extensions are [8,14,15,16]. Recently, most of these extensions were studied in different important aspects by Abd Elgawad et al [2,3,4] and Alawady et al [6,7]. Huang and Kotz [19] proposed two analogous extensions, the 1st HK-FGM and 2nd HK-FGM types which are defined respectively by…”

Section: Introductionmentioning

confidence: 99%

A more flexible counterpart of a Huang-Kotz's copula-type

Barakat¹,

Alawady²,

Husseiny³

et al. 2022

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Concomitants of Generalized Order Statistics from Bivariate Cambanis Family of Distributions Under a General Setting

Cited by 24 publications

References 28 publications

Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings

Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings

Measures of Extropy for Concomitants of Generalized Order Statistics in Morgenstern Family

A more flexible counterpart of a Huang-Kotz's copula-type

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