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The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications

Author

Listed:
  • Korkmaz Mustafa Ç.

    (Department of Measurement and Evaluation in Education, Artvin Çoruh University, Artvin, Turkey)

  • Yousof Haitham M.

    (Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt)

Abstract

In this article, an exponential model with only one shape parameter, which can be used in modeling survival data, reliability problems and fatigue life studies, is studied. We derive explicit expressions for some of its statistical and mathematical quantities including the ordinary moments, generating function, incomplete moments, order statistics, moment of residual life and reversed residual life. The model parameter is estimated by using the maximum likelihood method. A real data application is given to illustrate the flexibility of the model. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.

Suggested Citation

  • Korkmaz Mustafa Ç. & Yousof Haitham M., 2017. "The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 25-35, June.
    • Handle: RePEc:bpj:ecqcon:v:32:y:2017:i:1:p:25-35:n:4
    DOI: 10.1515/eqc-2017-0008
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    References listed on IDEAS

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    4. Zohdy M. Nofal & Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro, 2017. "The generalized transmuted-G family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 4119-4136, April.
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