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On a Selection Weibull Distribution
Authors:Mohammadreza Nourbakhsh  Yaser Mehrali  Ahad Jamalizadeh  Gholamhoseein Yari
Affiliation:1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Irannourbakhsh@mathdep.iust.ac.ir;3. University of Isfahan, Isfahan, Iran;4. Shahid Bahonar University of Kerman, Kerman, Iran;5. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Abstract:In this article, a selection Weibull distribution is investigated. First, some properties and representations of the model with some plots of the density and hazard rate functions are illustrated. Second, some simple relations of this model with some distributions discussed. In addition, maximum likelihood estimators obtained with numerical methods, and compared by three sub-models with a data set that shows the performance of our model. Finally, a simulation study presented for all parameters.
Keywords:Hazard rate function  Maximum likelihood estimator  Selection model  Monte Carlo method  Weibull distribution
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