Research article of American Journal of Computer Sciences and Applications
On Transmuted Flexible Weibull Extension Distribution with Applications to Different Lifetime Data Sets
Ahmad1, Zawar Hussain2
Research Scholar: Department of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan1
Assistant Professor: Department of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan2
In this article, a three parameters transmuted version of the flexible Weibull extension distribution called transmuted flexible Weibull extension distribution is studied. The proposed model is very flexible and is able to model real phenomena with increasing, unimodal or modified unimodal failure rates. Explicit expressions for mathematical properties are derived. Maximum likelihood estimates and asymptotic confidence bounds for the unknown parameters of the model are also obtained. Four real data sets are analyzed in order to illustrate the flexibility of the proposed distribution.
Keywords:Flexible Weibull extension distribution, Modified unimodal failure rate, Order statistics, Moment generating function, Maximum likelihood estimation