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As closed-form solutions for the Bayes estimators are not available, approximate estimators are obtained through Lindley\u2019s and Tierney\u2013Kadane\u2019s approximation methods, along with the Markov Chain Monte Carlo (MCMC) method, under the squared-error loss (SEL) function. Also, the approximate Bayes estimates are evaluated against the maximum likelihood estimates based on mean square error (MSE) and bias values using Monte Carlo simulation. In addition, the coverage probabilities of the parametric bootstrap estimates are computed. Finally, real data sets belonging to the COVID-19 Pandemic Case Fatality Rate across World Health Organization (WHO) and Organization fo Economic Co-Operation and Development (OECD) regions data is investigated as an important indicator to achieve United Nations\u2019 Sustainable Development Goal 3 (SDG 3) are employed to display the emprical results associated with both non-bayesian and bayesian estimations of the IEP distribution presented. By offering improved estimation techniques for flexible health indicator distributions, the results contribute to the broader effort of enhancing statistical tools used in global health analytics\u2014particularly in areas such as survival modeling, biomedical reliability, and chronic disease monitoring aligned with SDG 3.<\/jats:p>","DOI":"10.1038\/s41598-025-27264-7","type":"journal-article","created":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T12:20:20Z","timestamp":1764591620000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Bayesian estimation of the inverse Exponential Power distribution for COVID-19 case fatality analysis under SDG 3"],"prefix":"10.1038","volume":"15","author":[{"given":"Neriman","family":"Akdam","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Osama Abdulaziz","family":"Alamri","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Subhankar","family":"Dutta","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fatma","family":"\u00c7iftci","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Neslihan","family":"\u0130yit","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,12,1]]},"reference":[{"issue":"2","key":"27264_CR1","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1111\/1467-842X.00072","volume":"41","author":"RD Gupta","year":"1999","unstructured":"Gupta, R. 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