The Nadarajah Haghighi Topp Leone-G Family of Distributions ‎with Mathematical Properties and Applications

Based on the Nadarajah Haghighi distribution and the Topp Leone-G family in view of the T-X family, we introduce a new generator of continuous distributions with three extra parameters called the Nadarajah Haghighi Topp Leone-G family. Three sub-models of the new class are discussed. Main mathematic...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2019-01, Vol.15 (4), p.849
Main Authors: Reyad‎, Hesham, Selim, Mahmoud Ali, Othman, Soha
Format: Article
Language:English
Subjects:
Mathematical models
Matrix methods
Parameter estimation
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Summary:Based on the Nadarajah Haghighi distribution and the Topp Leone-G family in view of the T-X family, we introduce a new generator of continuous distributions with three extra parameters called the Nadarajah Haghighi Topp Leone-G family. Three sub-models of the new class are discussed. Main mathematical properties of the new family are investigated such as; quantile function, raw and incomplete moments, Bonferroni and Lorenz curves, moment and probability generating functions, stress-strength model, Shanon and Rényi entropies, order statistics and probability weighted moments. The model parameters of the new family is estimated by using the method of maximum likelihood and the observed information matrix is also obtained. We introduce two real applications to show the importance of the new family.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v15i4.2870