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Research Articles

Record values of ratio of Weibull random variables

Authors:

Bander Al-Zahrani,

King Abdulaziz University, SA
About Bander
Department of Statistics, Faculty of Science
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Saman Hanif Shahbaz,

King Abdulaziz University, SA
About Saman
Department of Statistics, Faculty of Science
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Muhammad Qaiser Shahbaz

King Abdulaziz University, SA
About Muhammad
Department of Statistics, Faculty of Science
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Abstract

In this paper we have derived the distribution of upper and lower record statistics for the ratio of two independently distributed Weibull random variables. The standard distributional properties of the resulting distribution have been studied. We have also obtained the recurrence relations for single and product moments of upper and lower
record values for ratio of Weibull random variables. A real data application has also been given to see the performance of the proposed distribution.

How to Cite: Al-Zahrani, B., Shahbaz, S.H. and Shahbaz, M.Q., 2018. Record values of ratio of Weibull random variables. Journal of the National Science Foundation of Sri Lanka, 46(2), pp.165–178. DOI: http://doi.org/10.4038/jnsfsr.v46i2.8417
Published on 30 Jun 2018.
Peer Reviewed

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