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The constrained optimization problem based on such censoring data can be adopted to obtain confidence regions for the unknown parameters of this general class with minimized size and a predetermined confidence level. The area of confidence sets are minimized by solving simultaneous non-linear equations. Two real data sets representing the duration of remission of leukemia patients and water level exceedances by River Nidd at Hunsingore located in New York, are analyzed by fitting appropriate well-known models. Further, numerical simulation study is performed to explain our procedures and findings here.<\/jats:p>","DOI":"10.1051\/ro\/2024026","type":"journal-article","created":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T19:56:57Z","timestamp":1706558217000},"page":"1233-1247","source":"Crossref","is-referenced-by-count":2,"title":["Optimal confidence regions for the parameters of a general exponential class under Type-II progressive censoring"],"prefix":"10.1051","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6149-6287","authenticated-orcid":false,"given":"Reem A.","family":"Al-Jarallah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3047-1466","authenticated-orcid":false,"given":"Mohammad Z.","family":"Raqab","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2024,3,27]]},"reference":[{"key":"R1","unstructured":"Ahsanullah M., Inference and prediction problems of the generalized Pareto distribution based on record values, in Order Statistics and Nonparametrics: Theory and Applications, edited by Sen P.K. and Salama L.A.. 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