Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

New Generalization of Length Biased Exponential Distribution with Applications

Download PDF (255.2 KB) PP. 82 - 88 Pub. Date: April 1, 2019

DOI: 10.22606/jaam.2019.42006


  • Obubu Maxwell*
    Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria
  • Samuel Oluwafemi Oyamakin
    Department of Statistics, University of Ibadan, Ibadan, Nigeria
  • Angela Unna Chukwu
    Department of Statistics, University of Ibadan, Ibadan, Nigeria
  • Yusuf Olufemi Olusola
    Department of Statistics, University of Ilorin, Ilorin, Nigeria
  • Adeleke Akinrinade Kayode
    Department of Statistics, University of Ilorin, Ilorin, Nigeria


In this paper, a compound continuous distribution (i.e. Exponentiated length biased exponential (E-LBE) distribution) is given. Also, the statistical properties of the proposed distribution are examined, and the parameters are obtained by maximum likelihood estimation method. The flexibility, adequacy, and superiority of the proposed model were investigated by means of applications to dataset. The result indicates that the E-LBE distribution outperformed the competing distributions considered.


Exponential distribution, length biased, exponential generalized family of distribution, maximum likelihood estimation, hazard functions, survival function, carbon fibre dataset, aircraft windshield dataset.


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