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Original Articles

The Kumaraswamy Burr XII distribution: theory and practice

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Pages 2117-2143 | Received 22 Jun 2011, Accepted 03 Apr 2012, Published online: 30 Apr 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

Mara C. T. Santos & Rodrigo R. Pescim. (2023) A new extension of the Burr XII distribution generated by odd log-logistic random variables. Communications in Statistics - Theory and Methods 0:0, pages 1-16.
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Rashad M. EL-Sagheer, Mohamed A. W. Mahmoud, Mohamed G. M. Ghazal & Mustafa M. Hasaballah. (2022) Theoretical aspects for adaptive progressive Type-II censored competing risks and its applications in climatic data. Journal of Statistics and Management Systems 25:3, pages 709-747.
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Mustafa Ç. Korkmaz, Gauss M. Cordeiro, Haitham M. Yousof, Rodrigo R. Pescim, Ahmed Z. Afify & Saralees Nadarajah. (2019) The Weibull Marshall–Olkin family: Regression model and application to censored data. Communications in Statistics - Theory and Methods 48:16, pages 4171-4194.
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Ahmed Z. Afify, Gauss M. Cordeiro, Edwin M. M. Ortega, Haitham M. Yousof & Nadeem Shafique Butt. (2018) The four-parameter Burr XII distribution: Properties, regression model, and applications. Communications in Statistics - Theory and Methods 47:11, pages 2605-2624.
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Saralees Nadarajah, Stephen Chan & Emmanuel Afuecheta. (2017) Tabulations for value at risk and expected shortfall. Communications in Statistics - Theory and Methods 46:12, pages 5956-5984.
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Mostafa Tamandi & Saralees Nadarajah. (2016) On the Estimation of Parameters of Kumaraswamy-G Distributions. Communications in Statistics - Simulation and Computation 45:10, pages 3811-3821.
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Stephen Chan, Saralees Nadarajah & Emmanuel Afuecheta. (2016) An R Package for Value at Risk and Expected Shortfall. Communications in Statistics - Simulation and Computation 45:9, pages 3416-3434.
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Articles from other publishers (33)

Aditi Chaturvedi. (2024) Randomly Censored Kumaraswamy Distribution. Journal of Statistical Theory and Applications 23:1, pages 1-25.
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Ibrahim Elbatal, L. S. Diab, Anis Ben Ghorbal, Haitham M. Yousof, Mohammed Elgarhy & Emadeldin I. A. Ali. (2024) A new losses (revenues) probability model with entropy analysis, applications and case studies for value-at-risk modeling and mean of order-P analysis. AIMS Mathematics 9:3, pages 7169-7211.
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Renata Rojas Guerra, Fernando A. Peña-Ramírez & Gauss M. Cordeiro. (2023) The Logistic Burr XII Distribution: Properties and Applications to Income Data. Stats 6:4, pages 1260-1279.
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Fatimah E. Almuhayfith, Talha Arslan, Hassan S. Bakouch & Aminh M. Alnaghmosh. (2023) A versatile model for lifetime of a component under stress. Scientific Reports 13:1.
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Najwan Alsadat, Vasili B. V. Nagarjuna, Amal S. Hassan, Mohammed Elgarhy, Hijaz Ahmad & Ehab M. Almetwally. (2023) Marshall–Olkin Weibull–Burr XII distribution with application to physics data. AIP Advances 13:9.
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Haitham M. Yousof, S. I. Ansari, Yusra Tashkandy, Walid Emam, M. Masoom Ali, Mohamed Ibrahim & Salwa L. Alkhayyat. (2023) Risk Analysis and Estimation of a Bimodal Heavy-Tailed Burr XII Model in Insurance Data: Exploring Multiple Methods and Applications. Mathematics 11:9, pages 2179.
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Eman A. Eldessouky, Osama H. Mahmoud Hassan, Mohammed Elgarhy, Eid A. A. Hassan, Ibrahim Elbatal & Ehab M. Almetwally. (2023) A New Extension of the Kumaraswamy Exponential Model with Modeling of Food Chain Data. Axioms 12:4, pages 379.
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Tariq Iqbal, Nada M. Alfaer, Muhammad H. Tahir, Hassan M. Aljohani, Farrukh Jamal & Ahmed Z. Afify. (2022) Properties and estimation approaches of the odd JCA family with applications. Concurrency and Computation: Practice and Experience 35:1.
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Ayed. R. A. Alanzi, Muhammad Imran, M. H. Tahir, Christophe Chesneau, Farrukh Jamal, Saima Shakoor & Waqas Sami. (2023) Simulation analysis, properties and applications on a new Burr XII model based on the Bell-X functionalities. AIMS Mathematics 8:3, pages 6970-7004.
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Muhammet Burak Kılıç. 2023. Advances in Swarm Intelligence. Advances in Swarm Intelligence 309 325 .
Mohamed Ibrahim, M. Masoom Ali, Hafida Goual & Haitham Yousof. (2022) 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. Pakistan Journal of Statistics and Operation Research, pages 901-927.
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Joseph Thomas Eghwerido, Lawrence Chukwudumebi Nzei, Adebola Evelyn Omotoye & Friday Ikechukwu Agu. (2022) The Teissier-G family of distributions: Properties and applications. Mathematica Slovaca 72:5, pages 1301-1318.
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Fernando José Monteiro de Araújo, Renata Rojas Guerra & Fernando A. Peña-Ramírez. (2022) The Burr XII quantile regression for salary-performance models with applications in the sports economy. Computational and Applied Mathematics 41:6.
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Fiaz Ahmad Bhatti, G.G. Hamedani, Azeem Ali & Munir Ahmad. (2022) ON THE NEW FAMILY OF KIES BURR XII DISTRIBUTION. Punjab University Journal of Mathematics, pages 543-563.
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Joseph Thomas Eghwerido & Friday Ikechukwu Agu. (2022) The statistical properties and applications of the alpha power Topp-Leone-G distribution. Heliyon 8:6, pages e09775.
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Lucas D. Ribeiro Reis, Gauss M. Cordeiro & Maria do Carmo S. Lima. (2022) The Stacy-G Class: A New Family of Distributions with Regression Modeling and Applications to Survival Real Data. Stats 5:1, pages 215-257.
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Emre KOÇAK & H. Hasan ÖRKCÜ. (2022) Madde ömrü tahmininde çok amaçlı programlama tabanlı bir yaklaşım: Weibull dağılımı uygulaması. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 37:4, pages 1783-1792.
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Hadeel S. Klakattawi. (2022) Survival analysis of cancer patients using a new extended Weibull distribution. PLOS ONE 17:2, pages e0264229.
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Luciano Souza, Wilson Rosa de Oliveira, Cícero Carlos Ramos de Brito, Christophe Chesneau, Renan Fernandes & Tiago A. E. Ferreira. (2022) Sec-G Class of Distributions: Properties and Applications. Symmetry 14:2, pages 299.
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Subrata ChakraburtyMorad AlizadehLaba HandiqueEmrah AltunG. G. Hamedani. (2021) A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling. Statistics in Transition New Series 22:4, pages 77-100.
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Emrah Altun, Mustafa Ç. Korkmaz, Mahmoud El-Morshedy & Mohamed S. Eliwa. (2021) A New Flexible Family of Continuous Distributions: The Additive Odd-G Family. Mathematics 9:16, pages 1837.
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Vasili B.V. Nagarjuna, R. Vishnu Vardhan & Christophe Chesneau. (2021) Kumaraswamy Generalized Power Lomax Distributionand Its Applications. Stats 4:1, pages 28-45.
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Muhammad Adnan Hussain, Muhammad Hussain Tahir & Gauss M. Cordeiro. (2020) A new kumaraswamy generalized family of distributions: Properties and applications. Mathematica Slovaca 70:6, pages 1491-1510.
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Maryam Khalid, Muhammad Aslam & Tabassum Naz Sindhu. (2020) Bayesian analysis of 3-components Kumaraswamy mixture model: Quadrature method vs. Importance sampling. Alexandria Engineering Journal 59:4, pages 2753-2763.
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Rashad M. EL-Sagheer, Mohamed A. W. Mahmoud & Hasaballah M. Hasaballah. (2019) Bayesian Estimations Using MCMC Approach Under Three-Parameter Burr-XII Distribution Based on Unified Hybrid Censored Scheme. Journal of Statistical Theory and Practice 13:4.
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Arslan Nasir, Haitham Yousof, Farrukh Jamal & Mustafa Korkmaz. (2018) The Exponentiated Burr XII Power Series Distribution: Properties and Applications. Stats 2:1, pages 15-31.
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Laba Handique & Subrata Chakraborty. (2018) A new four-parameter extension of Burr-XII distribution: its properties and applications. Japanese Journal of Statistics and Data Science 1:2, pages 271-296.
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Sanku Dey, Josmar Mazucheli & Saralees Nadarajah. (2017) Kumaraswamy distribution: different methods of estimation. Computational and Applied Mathematics 37:2, pages 2094-2111.
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Mahmoud Aldeni, Carl Lee & Felix Famoye. (2017) Families of distributions arising from the quantile of generalized lambda distribution. Journal of Statistical Distributions and Applications 4:1.
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M. S. Khan, R. King & I. L. Hudson. (2017) Transmuted Kumaraswamy-G Family of Distributions for Modelling Reliability Data. Journal of Testing and Evaluation 45:5, pages 1837-1848.
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Ricardo Rocha, Saralees Nadarajah, Vera Tomazella, Francisco Louzada & Amanda Eudes. (2015) New defective models based on the Kumaraswamy family of distributions with application to cancer data sets. Statistical Methods in Medical Research 26:4, pages 1737-1755.
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Muhammad H. Tahir & Saralees Nadarajah. (2015) Parameter induction in continuous univariate distributions: Well-established G families. Anais da Academia Brasileira de Ciências 87:2, pages 539-568.
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Carl Lee, Felix Famoye & Ayman Y. Alzaatreh. (2013) Methods for generating families of univariate continuous distributions in the recent decades. WIREs Computational Statistics 5:3, pages 219-238.
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