The present paper aims to introduce an extension of the inverse Weibull (IW) distribution which offers a more flexible distribution for modeling lifetime data. We extend the inverse Weibull distribution using Marshall Olkin alpha power (MOAP) method. Its characterization and statistical properties, such as reliability, moments, entropy and order statistics are obtained. Moreover, the estimation of the MOAPIW distribution parameters is discussed using the non-Bayesian and Bayesian estimations method. Finally, a real data application illustrates the performance of the distribution. In addition, comparisons to other distributions are carried out to illustrate the flexibility of the proposed distribution.
Digital Object Identifier (DOI)
M. Basheer, Abdulkareem; M. Almetwally, Ehab; and M. Okasha, Hassan
"Marshall-Olkin Alpha Power Inverse Weibull Distribution:Non Bayesian and Bayesian Estimations,"
Journal of Statistics Applications & Probability: Vol. 10
, Article 5.
Available at: https://dc.naturalspublishing.com/jsap/vol10/iss2/5