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Topp–Leone Linear Exponential Distribution

Author

Listed:
  • Atem Bol A. M.

    (Institute for Basic Sciences, Technology and Innovation, Pan African University, P.O. Box 62000-00200, Nairobi, Kenya)

  • Nasiru Suleman

    (Institute for Basic Sciences, Technology and Innovation, Pan African University, P.O. Box 62000-00200, Nairobi, Kenya; and Faculty of Mathematical Sciences, University for Development Studies, P.O. Box 24, Navrongo, Upper East Region, Ghana)

  • Nantomah Kwara

    (Faculty of Mathematical Sciences, University for Development Studies, P.O. Box 24, Navrongo, Upper East Region, Ghana)

Abstract

This article studies the properties of the Topp–Leone linear exponential distribution. The parameters of the new model are estimated using maximum likelihood estimation, and simulation studies are performed to examine the finite sample properties of the parameters. An application of the model is demonstrated using a real data set. Finally, a bivariate extension of the model is proposed.

Suggested Citation

  • Atem Bol A. M. & Nasiru Suleman & Nantomah Kwara, 2018. "Topp–Leone Linear Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 31-43, June.
    • Handle: RePEc:bpj:ecqcon:v:33:y:2018:i:1:p:31-43:n:2
    DOI: 10.1515/eqc-2017-0022
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    References listed on IDEAS

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    1. Mahmoud, M.A.W. & Alam, Farouq Mohammad A., 2010. "The generalized linear exponential distribution," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 1005-1014, June.
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    More about this item

    Keywords

    Topp–Leone; Linear Exponential; Bivariate; Quantile; Moment; 62E15; 60E05;
    All these keywords.

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