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A New Two-Parameter Lifetime Distribution with Bathtub, Up-Bathtub or Increasing Failure Rate Function |
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PP: 21-32 |
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doi:10.18576/jsap/030103
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Author(s) |
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Ayman M. Abd–Elrahman,
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Abstract |
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| It is a common situation that the failure rate function has a bathtub shape for many mechanical and electronic components. A
simplemodel based on themedian of tree /or four identical independent randomvariables drown fromthe well known power distribution
is presented for modeling this type of data. The failure rate can also be upside-down bathtub shaped or increasing. Most properties of
the proposed distribution are investigated. Estimation procedures are introduced as well as a graphical approach via probability plot.
An application to a real data set is presented; and a simulation study is provided. Finally, some concluding remarks are presented. |
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