A class of power inverted Topp-Leone distribution: Properties, different estimation methods &amp; applications

El-Saeed, Ahmed R.; Hassan, Amal S.; Elharoun, Neema M.; Al Mutairi, Aned; Khashab, Rana H.; Nassr, Said G.

doi:10.1016/j.jrras.2023.100643

Journal of Radiation Research and Applied Sciences

2023

DOI: 10.1016/j.jrras.2023.100643

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A class of power inverted Topp-Leone distribution: Properties, different estimation methods & applications

Ahmed R. El-Saeed,

Amal S. Hassan,

Neema M. Elharoun

et al.

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Cited by 3 publications

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Estimation of some lifetime parameter of the unit half logistic-geometry distribution under progressively type-II censored data

Alsadat,

Ramadan,

Almetwally

et al. 2023

Journal of Radiation Research and Applied Sciences

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Estimation of some lifetime parameter of the unit half logistic-geometry distribution under progressively type-II censored data

Alsadat,

Ramadan,

Almetwally

et al. 2023

Journal of Radiation Research and Applied Sciences

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On bivariate compound exponentiated survival function of the beta distribution: estimation and prediction

Mahmoud,

Khashab,

Kalantan

et al. 2024

Journal of Radiation Research and Applied Sciences

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Statistical inference of the inverted exponentiated Lomax distribution using generalized order statistics with application to COVID-19

Nassr,

Hassan,

Almetwally

et al. 2023

AIP Advances

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In this study, the parameters of the inverted exponentiated Lomax distribution via generalized order statistics are assessed using Bayesian and maximum likelihood approaches. The maximum likelihood estimators along with approximate confidence intervals are calculated. Under the squared error loss function, the Bayesian estimator, percentile bootstrap, and bootstrap-t credible periods are produced. Furthermore, the proposed estimators are dedicated to schemes such as type-II censored ordinary order statistics joint density function. A numerical simulation is used to assess the behavior and sensitivity of the estimates for various sample sizes. From the posterior distributions, the Metropolis–Hastings technique is used to generate Markov chain Monte Carlo samples. We utilize this technique to examine a current dataset of interest: daily cases of COVID-19 instances detected in Saudi Arabia from May 31 to October 28, 2020 (inclusive). In the future, the proposed methodology could be useful for analyzing data on COVID-19 instances in other countries for comparative studies.

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A class of power inverted Topp-Leone distribution: Properties, different estimation methods & applications

Cited by 3 publications

References 46 publications

Estimation of some lifetime parameter of the unit half logistic-geometry distribution under progressively type-II censored data

Estimation of some lifetime parameter of the unit half logistic-geometry distribution under progressively type-II censored data

On bivariate compound exponentiated survival function of the beta distribution: estimation and prediction

Statistical inference of the inverted exponentiated Lomax distribution using generalized order statistics with application to COVID-19

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