Journal of Advances in Applied Mathematics

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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