A new uniform distribution with bathtub-shaped failure rate with simulation and application
Bathtub failure rate shape is widely used in industrial and medical applications. In this paper, a three-parameter lifetime distribution, so-called the generalized Weibull uniform distribution that extends the Weibull distribution, is proposed and studied. This distribution has bathtub-shaped or dec...
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| Veröffentlicht in: | Mathematical Sciences 2019-06, Vol.13 (2), p.105-114 |
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| creator | Al abbasi, Jamal N. Khaleel, Mundher A. Abdal-hammed, Moudher Kh Loh, Yue Fang Ozel, Gamze |
| description | Bathtub failure rate shape is widely used in industrial and medical applications. In this paper, a three-parameter lifetime distribution, so-called the generalized Weibull uniform distribution that extends the Weibull distribution, is proposed and studied. This distribution has bathtub-shaped or decreasing failure rate function which enables it to fit real lifetime data sets. Various structural properties of the new distribution are derived, including explicit expressions for the quantile function, moments, moment-generating function and order statistics. Parameter estimations are provided by a maximum likelihood estimation, and the performance of the maximum likelihood estimation is evaluated using a simulation study. An application to real-life data demonstrates that the proposed distribution can be very useful in fitting real data. |
| doi_str_mv | 10.1007/s40096-019-0283-7 |
| format | Article |
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In this paper, a three-parameter lifetime distribution, so-called the generalized Weibull uniform distribution that extends the Weibull distribution, is proposed and studied. This distribution has bathtub-shaped or decreasing failure rate function which enables it to fit real lifetime data sets. Various structural properties of the new distribution are derived, including explicit expressions for the quantile function, moments, moment-generating function and order statistics. Parameter estimations are provided by a maximum likelihood estimation, and the performance of the maximum likelihood estimation is evaluated using a simulation study. 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| subjects | Applications of Mathematics Economic models Failure rates Mathematics Mathematics and Statistics Maximum likelihood estimation Order parameters Original Research Parameter estimation Regression analysis Weibull distribution |
| title | A new uniform distribution with bathtub-shaped failure rate with simulation and application |
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