Seminar Title:
Statistical inferences of competing risks Chen lifetime populations in presence of the improved adaptive type-II progressive censored sample
Seminar Type:
Progress Seminar
Department:
Mathematics
Speaker Name:
Amlan Dey ( Rollno : 522ma1003)
Speaker Type:
Student
Venue:
Seminar Room, Department of Mathematics
Date and Time:
11 Feb 2025 4 P.M.
Contact:
Prof. Suchandan Kayal
Abstract:
A competing risks model is analyzed based on improved adaptive type-II progressive censored sample (IAT-II PCS). Two independent competing causes of failures are considered. Maximum likelihood estimators (MLEs) for the unknown model parameters are obtained. Using asymptotic normality property of MLE, the asymptotic confidence intervals are constructed. The Bayes estimators are obtained under symmetric and asymmetric loss functions with non-informative and informative priors. For informative priors, independent gamma distributions are considered. A Monte Carlo simulation study is carried out to compare performance of the established estimates. Finally, a real-life dataset analyzed for further validation of the proposed methods.