On Comparison of Entropy Measures for Weighted and Truncated Weighted Exponential Distributions

Basit, Abdul; Riaz, Anam; Iqbal, Zafar; Ahmad, Munir

doi:10.17654/as050060477

Cited by 4 publications

(4 citation statements)

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“…In this section, we have developed numerous wellknown entropy measures including Rényi [43], Havrda and Charvat [44], and Mathai and Haubold [45]. For more details, see some promising work of Basit et al [46], Dey et al [47], and Ijaz et al [48].…”

Section: Entropy Measuresmentioning

confidence: 99%

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Mutairi

Iqbal

Arshad

et al. 2022

Journal of Mathematics

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In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data.

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Section: Entropy Measuresmentioning

confidence: 99%

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Mutairi

Iqbal

Arshad

et al. 2022

Journal of Mathematics

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“…The comparison of entropies is also mentioned in the literature. Dey et al [25], Mahdy and Eltelbany [26], Maszczyk and Duch [27] Majumdar and Sood [28], and Basit et al [29] compared different entropies for different life distributions.…”

Section: Original Research Articlementioning

confidence: 99%

Some New Results of Residual and Past Entropy Measures

Basit

Iqbal

Lin

2021

AJPAS

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In this paper, two new generalized entropies have been introduced with their respective properties. The results of these entropies have been verified for the exponential and weighted exponential distributions. These two entropies produce the results in the form of simple entropy, generalized entropy, residual entropy, cumulative entropy and mixtures of all these entropies. Some characteristics of residual & past entropy have been derived and special cases have also been obtained. These cases indicate that new generalized entropies are more comprehensive and useful. The main advantage of this study is to derive different types of generalization of entropies using the different parameter values of α and β.

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“…e comparison of different entropy measures was discussed by Dey et al [15]. Basit et al [16] studied the entropy measures for weighted and truncated weighted exponential distributions.…”

Section: Introductionmentioning

confidence: 99%

Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

Saud

Rafique

Ijaz

et al. 2022

Advances in Mathematical Physics

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Some characterizations and entropy measures of the Exponentiated Generalized Fréchet Geometric (EGFG) distribution are studied in this paper. Firstly, characterizations of the EGFG distribution based on five different approaches are discussed. The submodels for the EGFG distribution with their characterization expressions formed on the ratio of two truncated moments are also presented. Secondly, four different entropy measures are considered and expressed analytically via the incomplete gamma function. The behavior of all these entropy measures is discussed by performing a numerical study.

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On Comparison of Entropy Measures for Weighted and Truncated Weighted Exponential Distributions

Cited by 4 publications

References 0 publications

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Some New Results of Residual and Past Entropy Measures

Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

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