Exponentiated Quasi Lindley distribution

  • Elbatal, I. (Department of Mathematics and Statistics, College of Science, Al Imam Mohammad Ibn Saud Islamic University) ;
  • Diab, L.S. (Department of Mathematics, College of science for (girls), Al-Azhar University) ;
  • Elgarhy, M. (Department of Mathematical Statistics, Burraydah colleges)
  • Received : 2015.03.21
  • Accepted : 2016.04.19
  • Published : 2016.06.30

Abstract

The Exponentiated Quasi Lindley (EQL) distribution which is an extension of the quasi Lindley Distribution is introduced and its properties are explored. This new distribution represents a more flexible model for the lifetime data. Some statistical properties of the proposed distribution including the shapes of the density and hazard rate functions, the moments and moment generating function, the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters and finally an application of the model with a real data set is presented for the illustration of the usefulness of the proposed distribution.

Keywords

References

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