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Based on Type\u2010I censored and Type\u2010II censored samples, maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation for the MOAPW distribution parameters are discussed. Numerical analysis using real data sets and Monte Carlo simulation are accomplished to compare various estimation methods. This novel model\u2019s supremacy upon some famous distributions is explained using two real data sets and it is shown that the MOAPW model can achieve better fits than other competitive distributions.<\/jats:p>","DOI":"10.1155\/2021\/5533799","type":"journal-article","created":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T21:20:07Z","timestamp":1615324807000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["Marshall\u2013Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type\u2010I and Type\u2010II Censoring"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3888-1275","authenticated-orcid":false,"given":"Ehab M.","family":"Almetwally","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2970-6720","authenticated-orcid":false,"given":"Mohamed A. 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