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Research Article Open access CC BY 4.0

On the Topp Leone Exponentiated-G Family of Distributions: Properties and Applications

Sule Ibrahim, Sani Ibrahim Doguwa, Isah Audu, Jibril Haruna Muhammad

Asian Journal of Probability and Statistics · pp. 1–15 · Published 28 Mar 2020

10.9734/ajpas/2020/v7i130170

Abstract

We proposed a new family of distributions called the Topp Leone exponentiated-G family of distributions with two extra positive shape parameters, which generalizes and also extends the Topp Leone-G family of distributions. We derived some mathematical properties of the proposed family including explicit expressions for the quantile function, ordinary and incomplete moments, generating function and reliability. Some sub-models in the new family were discussed. The method of maximum likelihood was used to estimate the parameters of the sub-model. Further, the potentiality of the family was illustrated by fitting two real data sets to the mentioned sub-models.

Hazard rate reliability Kumarasway Lehmann alternative order statistics

References (25)

  1. 1 BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS [DOI]
  2. 2 A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families [DOI]
  3. 3 A new method for generating families of continuous distributions [DOI]
  4. 4 Model selection
  5. 5 On families of beta- and generalized gamma-generated distributions and associated inference [DOI]
  6. 6 Families of distributions arising from distributions of order statistics [DOI]
  7. 7 Generalized beta-generated distributions [DOI]
  8. 8 The gamma-exponentiated exponential distribution [DOI]
  9. 9 The Exponentiated Generalized Class of Distributions [DOI]
  10. 10 The Weibull-G Family of Probability Distributions [DOI]
  11. 11 Topp–Leone Family of Distributions: Some Properties and Application [DOI]
  12. 12 The Exponentiated Half-Logistic Family of Distributions: Properties and Applications [DOI]
  13. 13 The Transmuted Exponentiated Generalized-G Family of Distributions [DOI]
  14. 14 The Kumaraswamy Marshal-Olkin family of distributions [DOI]
  15. 15 Generalized inverted Kumaraswamy generated family of distributions: theory and applications [DOI]
  16. 16 The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications [DOI]
  17. 17 A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications [DOI]
  18. 18 The beta Marshall-Olkin family of distributions [DOI]
  19. 19 Generalized Transmuted Family of Distributions: Properties and Applications [DOI]
  20. 20 Another Generalized Transmuted family of distributions:Properties and Applications [DOI]
  21. 21 The Exponentiated Generalized Topp Leone-G Family of Distributions: Properties and Applications [DOI]
  22. 22 The transmuted transmuted-G family: properties and applications [DOI]
  23. 23 A new family of Marshall–Olkin extended distributions [DOI]
  24. 24 Technical and statistical improvements for flow cytometric DNA analysis of paraffin‐embedded tissue [DOI]
  25. 25 A New Family of Distributions: Libby-Novick Beta [DOI]

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