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Exponentiated Modified Weibull Distribution

Author

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  • Elbatal I.

    (Institute of Statistical Studies and Research, Department of Mathematical Statistics, Cairo University, Egypt.)

Abstract

In this paper we consider the exponentiated modified Weibull distribution. The modified Weibull distribution, Weibull distribution and the exponentiated exponential distribution are found to be particular cases of this family. We derive the analytical shape of the corresponding density functions and hazard rate functions. The rth moment and the moment generating function are determined. Finally the distribution of order statistics and the least squares estimators of the parameters are discussed.

Suggested Citation

  • Elbatal I., 2011. "Exponentiated Modified Weibull Distribution," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 189-200, January.
    • Handle: RePEc:bpj:ecqcon:v:26:y:2011:i:2:p:189-200:n:10
    DOI: 10.1515/EQC.2011.018
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    References listed on IDEAS

    as
    1. Nadarajah, Saralees, 2005. "On the moments of the modified Weibull distribution," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 114-117.
    2. Kundu, Debasis & Raqab, Mohammad Z., 2005. "Generalized Rayleigh distribution: different methods of estimations," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 187-200, April.
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    Cited by:

    1. C. Satheesh Kumar & Subha R. Nair, 2021. "A generalization to the log-inverse Weibull distribution and its applications in cancer research," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-30, December.

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