Assessing the Performance of Some Ranked Set Sampling Designs Using HybridApproach

Sabry, M.; Almetwally, Ehab M.; Almongy, Hisham M.; Ibrahim, Gamal M.

doi:10.32604/cmc.2021.017510

Cited by 9 publications

(2 citation statements)

References 21 publications

(23 reference statements)

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“…Te study of stressstrength reliability in light of the ranked set sampling (RSS) technique has recently captured the interest of multiple writers due to its application in a variety of felds. Terefore, in our upcoming work, we want to address the problem of stress-strength estimation for a certain distribution in the class using the RSS method [26][27][28], and also, for applications of lifetime data [29][30][31].…”

Section: Discussionmentioning

confidence: 99%

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Zayed

Hassan

Almetwally

et al. 2023

Scientific Programming

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The current research offers an enhanced three-parameter lifetime model that combines the unit Burr XII distribution with a power series distribution. The novel class of distribution is named the unit Burr XII power series (UBXIIPS). This compounding technique allows for the production of flexible distributions with strong physical meanings in domains such as biology and engineering. The UBXIIPS class includes the unit Burr XII Poisson (UBXIIP) distribution, the unit Burr XII binomial distribution, the unit Burr XII geometric distribution, and the unit Burr XII negative binomial distribution. The statistical properties of the class include formulas for the density and cumulative distribution functions, and limiting behaviour, moments and incomplete moments, entropy measures, and quantile function are provided. For estimating population parameters and fuzzy reliability for the UBXIIP model, maximum likelihood and Bayesian approaches are studied by the Metropolis–Hastings algorithm. For maximum likelihood estimators, the length of asymptotic confidence intervals is specified, whereas, for Bayesian estimators, the length of credible confidence intervals is assigned. A simulation investigation of the UBXIIP model was established to evaluate the performance of suggested estimates. In addition, the UBXIIP distribution is explored using real-world data. The UBXIIP distribution appears to offer some benefits in understanding lifetime data when compared to unit Weibull, beta, Kumaraswamy, Kumaraswamy Kumaraswamy, Marshall-Olkin Kumaraswamy, and Topp–Leone Weibull Lomax distributions.

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Section: Discussionmentioning

confidence: 99%

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Zayed

Hassan

Almetwally

et al. 2023

Scientific Programming

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“…For more information, see recent papers such as [64][65][66]. In this section, maximum likelihood (ML) and Bayesian using SRS and RSS have been discussed.…”

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confidence: 99%

Bayesian and Non-Bayesian Estimation for a New Extension of Power Topp–Leone Distribution under Ranked Set Sampling with Applications

Alotaibi

Al-Moisheer

Elbatal

et al. 2023

Axioms

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In this article, we intend to introduce and study a new two-parameter distribution as a new extension of the power Topp–Leone (PTL) distribution called the Kavya–Manoharan PTL (KMPTL) distribution. Several mathematical and statistical features of the KMPTL distribution, such as the quantile function, moments, generating function, and incomplete moments, are calculated. Some measures of entropy are investigated. The cumulative residual Rényi entropy (CRRE) is calculated. To estimate the parameters of the KMPTL distribution, both maximum likelihood and Bayesian estimation methods are used under simple random sample (SRS) and ranked set sampling (RSS). The simulation study was performed to be able to verify the model parameters of the KMPTL distribution using SRS and RSS to demonstrate that RSS is more efficient than SRS. We demonstrated that the KMPTL distribution has more flexibility than the PTL distribution and the other nine competitive statistical distributions: PTL, unit-Gompertz, unit-Lindley, Topp–Leone, unit generalized log Burr XII, unit exponential Pareto, Kumaraswamy, beta, Marshall-Olkin Kumaraswamy distributions employing two real-world datasets.

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Enhancing mean estimators in median ranked set sampling with dual auxiliary information

Alharbi,

Mustafa,

Al Mutairi

et al. 2023

Heliyon

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Assessing the Performance of Some Ranked Set Sampling Designs Using HybridApproach

Cited by 9 publications

References 21 publications

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Bayesian and Non-Bayesian Estimation for a New Extension of Power Topp–Leone Distribution under Ranked Set Sampling with Applications

Enhancing mean estimators in median ranked set sampling with dual auxiliary information

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