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.
Digital Object Identifier (DOI)
M. Abd–Elrahman, Ayman
"A New Two-Parameter Lifetime Distribution with Bathtub, Up-Bathtub or Increasing Failure Rate Function,"
Journal of Statistics Applications & Probability: Vol. 3
, Article 3.
Available at: https://dc.naturalspublishing.com/jsap/vol3/iss1/3