On dynamic cumulative past inaccuracy measure based on extropy

Hashempour‎, Majid; Mohammadi, Morteza

doi:10.1080/03610926.2022.2098335

Cited by 12 publications

(3 citation statements)

References 22 publications

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“…The cumulative residual inaccuracy (CRI) and cumulative past inaccuracy (CPI) measures, which are extensions of the corresponding cumulative residual entropy and cumulative past entropy, respectively, were studied by Kundu et al(2016). Hashempour and Mohammadi (2022) introduced a new measure of uncertainty that will be called cumulative past extropy inaccuracy measure. Cumulative residual extropy inaccuracy (CRIJ) and cumulative past extropy inaccuracy (CPIJ) measures, which are extensions of the corresponding cumulative residual extropy and Cumulative past extropy, respectively, are defined as :…”

Section: Results Based On Cumulative Residual (Past) Extropymentioning

confidence: 99%

Some characterizations of continuous symmetric distributions based on extropy of record values

Gupta¹,

Chaudhary²

2022

Preprint

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Using different extropies of k record values various characterizations are provided for continuous symmetric distributions. The results are in addition to the results of Ahmadi, J. (Statistical Papers, 2021, 62:2603-2626. These include cumulative residual (past) extropy, generalised cumulative residual (past) extropy, also some common Kerridge inaccuracy measures. Using inaccuracy extropy measures, it is demonstrated that continuous symmetric distributions are characterised by an equality of information in upper and lower k-records.

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Section: Results Based On Cumulative Residual (Past) Extropymentioning

confidence: 99%

Some characterizations of continuous symmetric distributions based on extropy of record values

Gupta¹,

Chaudhary²

2022

Preprint

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“…In this section, we provide two methods for nonparametric estimations of the inaccuracy of nth upper (lower) record values. Recently, similar methods have been used for inaccuracy estimation in [10] and [31]. Let X 1 , .…”

Section: Nonparametric Estimatorsmentioning

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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“…Generalizations of Shannon's entropy have attracted the attention of many researchers. For recent properties of these generalization measures, we refer to [17,19,22,23,24,33,14,40]. Also, Tsallis entropy extensions have been performed by some researchers, among which we can mention [41,20,21].…”

Section: Introductionmentioning

confidence: 99%

Nonparametric tests of independence using copula-based Renyi and Tsallis divergence measures

Mohammadi,

Emadi

2023

Stat., optim. inf. comput.

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‎We introduce new nonparametric independence tests based on R\'enyi and Tsallis divergence measures and copula density function‎. ‎These tests reduce the complexity of calculations because they only depend on the copula density‎. ‎The copula density estimated using the local likelihood probit-transformation method is appropriate for the identification of independence‎. ‎Also‎, ‎we present the consistency of the copula-based R\'enyi and Tsallis divergence measures estimators that are considered as test statistics‎. ‎A simulation study is provided to compare the empirical power of these new tests with the independence test based on the empirical copula‎. ‎The simulation results show that the suggested tests outperform in weak dependency‎. ‎Finally‎, ‎an application in hydrology is presented‎.

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On dynamic cumulative past inaccuracy measure based on extropy

Cited by 12 publications

References 22 publications

Some characterizations of continuous symmetric distributions based on extropy of record values

Some characterizations of continuous symmetric distributions based on extropy of record values

A new measure of inaccuracy for record statistics based on extropy

Nonparametric tests of independence using copula-based Renyi and Tsallis divergence measures

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