The Double Burr Type XII Model: Censored and Uncensored Validation Using a New Nikulin-Rao-Robson Goodness-of-Fit Test with Bayesian and Non-Bayesian Estimation Methods

被引：1

作者：

Ibrahim, Mohamed ^{[1
]}

Ali, M. Masoom ^{[2
]}

Goual, Hafida ^{[3
]}

Yousof, Haitham M. ^{[4
]}

机构：

[1] Damietta Univ, Fac Commerce, Dept Appl Math & Actuarial Stat, Dumyat, Egypt

[2] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

[3] Univ Badji Mokhtar, Lab Probabil & Stat, Annaba, Algeria

[4] Benha Univ, Dept Stat Math & Insurance, Banha, Egypt

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2022年 / 18卷 / 04期

关键词：

Barzilai-Borwein Algorithm; Bayesian Estimation; Validation Nikulin-Rao-Robson; Metropolis Hastings Algorithm; MCMC; Censoring Data; Renyi Entropy; Shannon Entropy; GENERAL EXPONENTIAL CLASS; SQUARE TYPE TEST; MATHEMATICAL PROPERTIES; STATISTICAL PROPERTIES; G FAMILY; DISTRIBUTIONS PROPERTIES; LIFETIME DISTRIBUTION; FRECHET DISTRIBUTION; COPULA; SYSTEM;

D O I：

10.18187/pjsor.v18i4.3600

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

After studying the mathematical properties of the Double Burr XII model, we present Bayesian and non-Bayesian estimation for its unknown parameters. Also, we constructed a new statistical test for goodness-of-fit in case of complete and censored samples. The modified test is developed based on the Nikulin-Rao-Robson statistic for validation. Simulations are performed for assessing the new test along with nine applications on real data.

引用

页码：901 / 927

页数：27

共 5 条

[1] Censored and Uncensored Nikulin-Rao-Robson Distributional Validation: Characterizations, Classical and Bayesian estimation with Censored and Uncensored Applications
Shehata, Wahid A. M.
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Hamida, Talhi
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Al-Nefaie, Abdullah H.
Ibrahim, Mohamed
Butt, Nadeem S.
Osman, Rania M. A.
Yousof, Haitham M.
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2024, 20 (01) : 11 - 35
[2] Validation of the Topp-Leone-Lomax Model via a Modified Nikulin-Rao-Robson Goodness-of-Fit Test with Different Methods of Estimation
Yadav, Abhimanyu Singh
Goual, Hafida
Alotaibi, Refah Mohammed
Rezk, H.
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Yousof, Haitham M.
SYMMETRY-BASEL, 2020, 12 (01):
[3] The exponential generalized log-logistic model: Bagdonavicius-Nikulin test for validation and non-Bayesian estimation methods
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Aidi, Khaoula
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COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2022, 29 (01) : 1 - 25
[4] A New Parametric Life Distribution with Modified Bagdonavicius-Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods
Mansour, Mahmoud
Rasekhi, Mahdi
Ibrahim, Mohamed
Aidi, Khaoula
Yousof, Haitham M.
Abd Elrazik, Enayat
ENTROPY, 2020, 22 (05)
[5] A New One-Parameter Distribution for Right Censored Bayesian and Non-Bayesian Distributional Validation under Various Estimation Methods
Emam, Walid
Tashkandy, Yusra
Goual, Hafida
Hamida, Talhi
Hiba, Aiachi
Ali, M. Masoom
Yousof, Haitham M.
Ibrahim, Mohamed
MATHEMATICS, 2023, 11 (04)

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