Weibull and inverse Weibull composite distribution for modeling reliability data

Kahadawala Cooray, Sumith Gunasekera, Malwane Ananda

Research output: Contribution to journalArticlepeer-review


The Weibull distribution, frequently used for life data analysis, is composited with inverse Weibull distribution to obtain a computationally convenient parametric distribution for modeling reliability data. This two-parameter smooth and continuous natural composition has an inverse Weibull density up to an unknown threshold value and Weibull density for the remainder. The resulting density is similar in shape to the inverse Weibull density, yet its upper tail is lighter than the Weibull density. And, the right-tail behavior is quite similar to the Weibull density. The least squares parameter estimation technique is discussed by analyzing a repair time reliability data.

Original languageEnglish
Pages (from-to)109-115
Number of pages7
JournalModel Assisted Statistics and Applications
Issue number2
StatePublished - 2010


  • Least squares method
  • Weibull
  • inverse Weibull
  • reliability data


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