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03- Journal of Statistics Applications & Probability
An International Journal


Volumes > Vol. 3 > No. 1


A New Two-Parameter Lifetime Distribution with Bathtub, Up-Bathtub or Increasing Failure Rate Function

PP: 21-32
Ayman M. Abd–Elrahman,
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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