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Communications in Statistics - Theory and Methods Volume 46, 2017 - Issue 6
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Original Articles

Topp–Leone generated family of distributions: Properties and applications

Sadegh RezaeiDepartment of Statistics, Amirkabir University of Technology, Tehran, IranCorrespondence[email protected]
,
Behnam Bahrami SadrDepartment of Statistics, Amirkabir University of Technology, Tehran, Iran
,
Morad AlizadehDepartment of Statistics, Persian Gulf University of Bushehr, Bushehr, Iran
&
Saralees NadarajahSchool of Mathematics, University of Manchester, Manchester, UK
Pages 2893-2909 | Received 08 Nov 2014, Accepted 14 May 2015, Published online: 11 Apr 2016

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Sidra Naz, M.H. Tahir, Farrukh Jamal, Muhammad Ameeq, Shakaiba Shafiq & John T. Mendy. (2023) A group acceptance sampling plan based on flexible new Kumaraswamy exponential distribution: An application to quality control reliability. Cogent Engineering 10:2.
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Broderick Oluyede, Simbarashe Chamunorwa, Fastel Chipepa & Morad Alizadeh. (2022) The Topp-Leone Gompertz-G family of distributions with applications. Journal of Statistics and Management Systems 25:6, pages 1399-1423.
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Zeeshan Ali, Azeem Ali & Gamze Ozel. (2021) A modification in generalized classes of distributions: A new Topp–Leone class as an example. Communications in Statistics - Theory and Methods 50:19, pages 4548-4570.
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Mohd. Arshad & Qazi Azhad Jamal. (2019) Interval Estimation for Topp-Leone Generated Family of Distributions based on Dual Generalized Order Statistics. American Journal of Mathematical and Management Sciences 38:3, pages 227-240.
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Ohud A. Alqasem, Heba S. Mohammed, Ahmed Elshahhat, H. A. Hussein & Z. F. Jaheen. (2024) Bayesian and empirical-Bayesian evaluations of the Topp–Leone lifetime model using lower record statistics. AIP Advances 14:4.
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Basma Ahmed, M. Masoom Ali & Haitham M. Yousof. (2022) A Novel G Family for Single Acceptance Sampling Plan with Application in Quality and Risk Decisions. Annals of Data Science 11:1, pages 181-199.
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Maria T. Vasileva. (2023) On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications. Mathematics 11:22, pages 4620.
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Sidra Naz, Laila A. Al-Essa, Hassan S. Bakouch & Christophe Chesneau. (2023) A Transmuted Modified Power-Generated Family of Distributions with Practice on Submodels in Insurance and Reliability. Symmetry 15:7, pages 1458.
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Mohammed Elgarhy, Najwan Alsadat, Amal S. Hassan, Christophe Chesneau & Alaa H. Abdel-Hamid. (2023) A New Asymmetric Modified Topp–Leone Distribution: Classical and Bayesian Estimations under Progressive Type-II Censored Data with Applications. Symmetry 15:7, pages 1396.
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Mustapha Muhammad, Lixia Liu, Badamasi Abba, Isyaku Muhammad, Mouna Bouchane, Hexin Zhang & Sani Musa. (2022) A New Extension of the Topp–Leone-Family of Models with Applications to Real Data. Annals of Data Science 10:1, pages 225-250.
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Majid HASHEMPOUR. (2022) A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation. Hacettepe Journal of Mathematics and Statistics 51:5, pages 1420-1441.
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Hazar A. Khogeer, Amani Alrumayh, M. M. Abd El-Raouf, Mutua Kilai & Ramy Aldallal. (2022) Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data. Journal of Mathematics 2022, pages 1-9.
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Mahmoud El-Morshedy, Muhammad H. Tahir, Muhammad Adnan Hussain, Afrah Al-Bossly & Mohamed S. Eliwa. (2022) A New Flexible Univariate and Bivariate Family of Distributions for Unit Interval (0, 1). Symmetry 14:5, pages 1040.
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Navid Feroze, Muhammad Noor-ul-Amin, Maryam Sadiq & Md. Moyazzem Hossain. (2022) On Optimal Progressive Censoring Schemes from Models with U-Shaped Hazard Rate: A Comparison between Conventional and Fuzzy Priors. Journal of Function Spaces 2022, pages 1-21.
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Navid Feroze, Ali Al-Alwan, Muhammad Noor-ul-Amin, Shajib Ali & R. Alshenawy. (2022) Bayesian Estimation for the Doubly Censored Topp Leone Distribution using Approximate Methods and Fuzzy Type of Priors. Journal of Function Spaces 2022, pages 1-15.
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Mashail M. AL Sobhi. (2022) Modelling to Engineering Data: Using a New Two-Parameter Lifetime Model. Journal of Function Spaces 2022, pages 1-9.
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Fastel Chipepa, Broderick Oluyede, Divine Wanduku & Thatayaone Moakofi. 2022. Methods of Mathematical Modelling and Computation for Complex Systems. Methods of Mathematical Modelling and Computation for Complex Systems 341 374 .
Amal SOLİMAN & Doaa ISMAİL. (2021) Estimation of Parameters of Topp-Leone Inverse Lomax Distribution in Presence of Right Censored Samples. Gazi University Journal of Science 34:4, pages 1193-1208.
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Thatayaone Moakofi, Broderick Oluyede & Fastel Chipepa. (2021) Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications. Pakistan Journal of Statistics and Operation Research, pages 885-909.
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Fastel Chipepa, Boikanyo Makubate, Broderick Oluyede & Kethamile Rannona. (2021) The The Topp Leone-G Power Series Class of Distributions with Applications. Pakistan Journal of Statistics and Operation Research, pages 827-846.
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Fiaz Ahmad Bhatti, Gauss M. Cordeiro, Mustafa Ç. Korkmaz & G.G. Hamedani. (2021) On The Burr XII-Gamma Distribution: Development, Properties, Characterizations and Applications. Pakistan Journal of Statistics and Operation Research, pages 771-789.
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I. Elbatal. (2021) A new lifetime family of distributions: Theoretical developments and analysis of COVID 19 data. Results in Physics 31, pages 104979.
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I. Elbatal & Naif Alotaibi. (2021) Modelling to Engineering Data Using a New Class of Continuous Models. Journal of Function Spaces 2021, pages 1-12.
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Fastel Chipepa, Broderick Oluyede & Peter O. Peter. (2021) The Burr III-Topp-Leone-G family of distributions with applications. Heliyon 7:4, pages e06534.
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Hassaneen Abd Aljabar Hashim & Kareema Abed Al-kadim Al-Khafaji. (2021) Composition a Continuous Probability Distribution Resulting from Mixing Two Probability Distributions. Journal of Physics: Conference Series 1804:1, pages 012028.
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Navid Feroze, Muhammad Aslam, Imtiaz Hussain Khan & Mushtaq Hussain Khan. (2020) Bayesian reliability estimation for the Topp–Leone distribution under progressively type-II censored samples. Soft Computing 25:3, pages 2131-2152.
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Muhammad H. Tahir, Muhammad Adnan Hussain, Gauss M. Cordeiro, M. El-Morshedy & M. S. Eliwa. (2020) A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension. Mathematics 8:11, pages 1989.
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Mohamed Ibrahim & Haitham Yousof. (2020) Transmuted Topp-Leone Weibull Lifetime Distribution: Statistical Properties and Different Method of Estimation. Pakistan Journal of Statistics and Operation Research, pages 501-515.
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Navid Feroze & Muhammad Aslam. (2020) Reliability estimation from Topp Leone smixture distribution using optimal progressive censoring schemes: A Bayesian approach. Alexandria Engineering Journal 59:3, pages 1539-1556.
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Zaki Anwar, Neetu Gupta, Mohd. Akram Raza Khan & Qazi Azhad Jamal. (2020) Recurrence Relations for Marginal and Joint Moment Generating Functions of Topp-Leone Generated Exponential Distribution based on Record Values and its Characterization. Journal of Modern Applied Statistical Methods 18:1.
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Thanasate Akkanphudit, Winai Bodhisuwan, Mena Lao & A. Volodin. (2020) The Topp–Leone Discrete Laplace Distribution and Its Applications. Lobachevskii Journal of Mathematics 41:3, pages 298-307.
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Rashad A. R. Bantan, Farrukh Jamal, Christophe Chesneau & Mohammed Elgarhy. (2020) Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications. Symmetry 12:1, pages 75.
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Li Zhang & Rongfang Yan. (2020) Stochastic comparisons of series and parallel systems with dependent and heterogeneous Topp-Leone generated components. AIMS Mathematics 6:3, pages 2031-2047.
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Abhimanyu Singh Yadav, Hafida Goual, Refah Mohammed Alotaibi, Rezk H, M. Masoom Ali & Haitham M. Yousof. (2019) Validation of the Topp-Leone-Lomax Model via a Modified Nikulin-Rao-Robson Goodness-of-Fit Test with Different Methods of Estimation. Symmetry 12:1, pages 57.
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Rashad A. R. Bantan, Farrukh Jamal, Christophe Chesneau & Mohammed Elgarhy. (2019) A New Power Topp–Leone Generated Family of Distributions with Applications. Entropy 21:12, pages 1177.
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Mohamed Ibrahim, Abhimanyu Singh Yadav, Haitham M. Yousof, Hafida Goual & G.G. Hamedani. (2019) A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation. Communications for Statistical Applications and Methods 26:5, pages 473-495.
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M A A Boshi, S H Abid & N H Al-Noor. (2019) Generalized Gompertz - Generalized Gompertz Distribution. Journal of Physics: Conference Series 1234:1, pages 012112.
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Rasool Roozegar & Saralees Nadarajah. (2017) A New Class of Topp–Leone Power Series Distributions with Reliability Application. Journal of Failure Analysis and Prevention 17:5, pages 955-970.
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Krittaya Podeang & Winai Bodhisuwan. Two-sided Topp-Leone Weibull distribution. Two-sided Topp-Leone Weibull distribution.

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