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The generalized linear exponential distribution

Author

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  • Mahmoud, M.A.W.
  • Alam, Farouq Mohammad A.

Abstract

This paper deals with a new generalization of the linear exponential distribution. This distribution is called the generalized linear exponential distribution (GLED). Some statistical properties such as moments, modes and quantiles are derived. The failure rate function and the mean residual lifetime are also discussed. The maximum likelihood estimators of the parameters are obtained using a simulation study. Real data are used to determine whether the GLED is better than other well-known distributions in modeling lifetime data or not.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:11-12:p:1005-1014
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    Cited by:

    1. 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.
    2. Mustapha Muhammad & Rashad A. R. Bantan & Lixia Liu & Christophe Chesneau & Muhammad H. Tahir & Farrukh Jamal & Mohammed Elgarhy, 2021. "A New Extended Cosine—G Distributions for Lifetime Studies," Mathematics, MDPI, vol. 9(21), pages 1-29, October.
    3. Chien-Tai Lin & Yu Liu & Yun-Wei Li & Zhi-Wei Chen & Hassan M. Okasha, 2021. "Further Properties and Estimations of Exponentiated Generalized Linear Exponential Distribution," Mathematics, MDPI, vol. 9(24), pages 1-31, December.

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