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On A New Weibull Burr XII Distribution for Lifetime Data |
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PP: 47-56 |
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doi:10.18576/sjm/050202
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Author(s) |
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M. Arslan Nasir,
Mustafa C. Korkmaz,
Farrukh Jamal,
Haitham M. Yousof,
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Abstract |
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| In this article, we propose a new Weibull Burr XII distribution based on the quantile function approach given by Aljarrah et
al.(2014). The new distribution is very flexible.We study a few of its statistical properties, such as, shapes and asymptotes, rth moments,
sth incomplete moments, moment generating function, quantile function, median, mode, mean deviations. Stochastic ordering, moments
of residual and reversed residual life are also given. The Shannon entropy, expression of ith order statistic and model parameters are
estimated by maximum likelihood method. Simulation is done to see the behavior of maximum likelihood estimates. Application is
given on two real life data sets to compare our model with other computative models. |
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