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On the Omega Distribution: Some Properties and Estimation
Journal article   Open access  Peer reviewed

On the Omega Distribution: Some Properties and Estimation

Abdelaziz Alsubie, Zuber Akhter, Haseeb Athar, Mahfooz Alam, Abd EL-Baset A. Ahmad, Gauss M. Cordeiro and Ahmed Z. Afify
Mathematics (Basel), Vol.9(6), p.656
01/03/2021

Abstract

Mathematics Physical Sciences Science & Technology
We obtain explicit expressions for single and product moments of the order statistics of an omega distribution. We also discuss seven methods to estimate the omega parameters. Various simulation results are performed to compare the performance of the proposed estimators. Furthermore, the maximum likelihood method is adopted to estimate the omega parameters under the type II censoring scheme. The usefulness of the omega distribution is proven using a real data set.
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https://doi.org/10.3390/math9060656View
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