Advances and Applications in Statistics
Volume 64, Issue 1, Pages 113 - 125
(September 2020) http://dx.doi.org/10.17654/AS064010113 |
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EXTENDED MARSHALL-OLKIN LENGTH-BIASED EXPONENTIAL DISTRIBUTION: PROPERTIES AND APPLICATION
I. Elbatal and M. Elgarhy
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Abstract: A new extended Kumaraswamy distribution, namely, the Kumaraswamy Marshall-Olkin length-biased exponential distribution is introduced and studied. Statistical properties including moments, generating function and mean residual life are discussed. The maximum likelihood method is used to estimate the model parameters. Finally, the importance of the new model in the study of real data application to show the model’s flexibility and potentiality is illustrated. |
Keywords and phrases: Kumaraswamy distribution, Marshall-Olkin, moments, mean residual lifetime, maximum likelihood estimation.
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