Relations for Moments of Dual Generalized Order Statistics for a New Inverse Kumaraswamy Distribution

Daghistani, A. M.; Alzahrani, Bander A.; Shahbaz, Muhammad

doi:10.18187/pjsor.v15i4.3079

Cited by 5 publications

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References 4 publications

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“…Proof. The necessary part follows immediately from (9). On the other hand, suppose the relation in ( 33) is satisfied, then on using Athar et al (2008) for ( ) = j xx  , we have…”

mentioning

confidence: 87%

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

Athar

Alharbi

Fawzy

2021

Pak.j.stat.oper.res.

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“…Proof. The necessary part follows immediately from (9). On the other hand, suppose the relation in ( 33) is satisfied, then on using Athar et al (2008) for ( ) = j xx  , we have…”

mentioning

confidence: 87%

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

Athar

Alharbi

Fawzy

2021

Pak.j.stat.oper.res.

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“…Two real financial data sets are analyzed in section (7) to illustrate the application of the proposed distribution. Finally, in section (8), some conclusions are provided.…”

Section: Introductionmentioning

confidence: 99%

A New Inverse Kumaraswamy Family of Distributions: Properties and Application

Daghistani

Al-Zahrani

Shahbaz

2023

Pak.j.stat.oper.res.

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The Kumaraswamy distribution is an important probability distribution used to model several hydrological problems as well as various natural phenomena whose process values are bounded on both sides. In this paper, we introduce a new family of inverse Kumaraswamy distribution and then explore its statistical properties. Conventional maximum likelihood estimators are considered for the parameters of this distribution and estimation based on dual generalized order statistics is outlined. A particular sub-model of this family; namely, the inverse Kumaraswamy- Weibull distribution is considered and some of its statistical properties are obtained. Estimation efficiency is numerically evaluated via a simulation study and two real-data applications of the proposed distribution are provided as well.

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“…Topp-Leone Weibull generated family of distributions with applications was found in [19]. The RRs for moments of DGOS for a inverted Kumaraswamy model was found in [9]. The RRs for moments of ordered variables in transmuted (T) models have received little attention.…”

Section: Introductionmentioning

confidence: 99%

Moments of Dual Generalized Order Statistics and Characterization for Transmuted Exponential Model

Sobhi

2022

Computational Journal of Mathematical and Statistical Sciences

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The relationships for moments of dual generalized order statistics (DGOS) for a transmuted exponential (TEx) model are given in this study. These relations are useful when determining the single and product moments of DGOS for a TEx model recursively. Some expressions for recursive computation of moments for special cases of DGOS from a TEx model are given. Some characterizations of the distribution are also given at the end.

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Relations for Moments of Dual Generalized Order Statistics for a New Inverse Kumaraswamy Distribution

Cited by 5 publications

References 4 publications

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

A New Inverse Kumaraswamy Family of Distributions: Properties and Application

Moments of Dual Generalized Order Statistics and Characterization for Transmuted Exponential Model

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