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Reliability Models Using the Composite Generalizers of Weibull Distribution

  • Gokarna R. AryalEmail author
  • Keshav P. Pokhrel
  • Netra Khanal
  • Chris P. Tsokos
Article
  • 48 Downloads

Abstract

In this article, we study the composite generalizers of Weibull distribution using exponentiated, Kumaraswamy, transmuted and beta distributions. The composite generalizers are constructed using both forward and reverse order of each of these distributions. The usefulness and effectiveness of the composite generalizers and their order of composition is investigated by studying the reliability behavior of the resulting distributions. Two sets of real-world data are analyzed using the proposed generalized Weibull distributions.

Keywords

Weibull distribution Exponentiated distribution Kumaraswamy distribution Beta distribution Transmutation map Composition map 

Notes

Acknowledgements

The authors are grateful to the editor and anonymous reviewers for their valuable suggestions. This work was completed while GA was in sabbatical leave for which he would like to thank the Purdue University Northwest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Gokarna R. Aryal
    • 1
    Email author
  • Keshav P. Pokhrel
    • 2
  • Netra Khanal
    • 3
  • Chris P. Tsokos
    • 4
  1. 1.Department of Mathematics, Statistics and CSPurdue University NorthwestHammondUSA
  2. 2.Department of Mathematics and StatisticsUniversity of Michigan- DearbornDearbornUSA
  3. 3.Department of MathematicsThe University of TampaTampaUSA
  4. 4.Department of Mathematics and StatisticsUniversity of South FloridaTampaUSA

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