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- Title
Optimal confidence regions for the parameters of a general exponential class under Type-II progressive censoring.
- Authors
Al-Jarallah, Reem A.; Raqab, Mohammad Z.
- Abstract
Under Type-II progressively censored data, joint confidence regions are proposed for the parameters of a general class of exponential distributions. 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.
- Subjects
NEW York (State); CONFIDENCE regions (Mathematics); CENSORING (Statistics); DISTRIBUTION (Probability theory); NONLINEAR equations; CONSTRAINED optimization; WATER levels
- Publication
RAIRO: Operations Research (2804-7303), 2024, Vol 58, Issue 2, p1233
- ISSN
2804-7303
- Publication type
Article
- DOI
10.1051/ro/2024026