Cubic Transmuted Weibull Distribution: Properties and Applications

Md. Mahabubur Rahman (), Bander Al-Zahrani () and Muhammad Qaiser Shahbaz ()
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Md. Mahabubur Rahman: King Abdulaziz University
Bander Al-Zahrani: King Abdulaziz University
Muhammad Qaiser Shahbaz: King Abdulaziz University

Annals of Data Science, 2019, vol. 6, issue 1, No 5, 83-102

Abstract: Abstract In this paper, a cubic transmuted Weibull ( $$ CTW $$ 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 $$ CTW $$ 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 $$ CTW $$ CTW distribution.

Keywords: Cubic transmutation; Maximum likelihood estimation; Moments; Order statistics; Reliability analysis; Weibull distribution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s40745-018-00188-y

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