Cubic Transmuted Weibull Distribution: Properties and Applications

  • Md. Mahabubur Rahman
  • Bander Al-Zahrani
  • Muhammad Qaiser ShahbazEmail author


In this paper, a cubic transmuted Weibull (\( CTW \)) distribution has been proposed by using the general family of transmuted distributions introduced by Rahman et al. (Pak J Stat Oper Res 14:451–469, 2018). We have explored the proposed \( CTW \) distribution in details and have studied its statistical properties as well. The parameter estimation and inference procedure for the proposed distribution have been discussed. We have conducted a simulation study to observe the performance of estimation technique. Finally, we have considered two real-life data sets to investigate the practicality of proposed \( CTW \) distribution.


Cubic transmutation Maximum likelihood estimation Moments Order statistics Reliability analysis Weibull distribution 



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

Authors and Affiliations

  1. 1.Department of StatisticsKing Abdulaziz UniversityJeddahKingdom of Saudi Arabia
  2. 2.Department of StatisticsIslamic UniversityKushtiaBangladesh

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