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
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Abdelaziz Alsubie: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
Zuber Akhter: Department of Statistics, University of Delhi, Delhi 110 007, India
Haseeb Athar: Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh 202 002, India
Mahfooz Alam: Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh 202 002, India
Abd EL-Baset A. Ahmad: Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
Gauss M. Cordeiro: Departamento de Estatística, Universidade Federal de Pernambuco, Recife 50710-165, Brazil
Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt

Mathematics, 2021, vol. 9, issue 6, 1-21

Abstract: 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.

Keywords: L-moments; omega distribution; order statistics; parameter estimation; type II censored samples (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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