Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models
Al-Hussaini, E. (2004). Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models. EKB Journal Management System, 48(1), 21-33. doi: 10.21608/esju.2004.313571
Essam K. Al-Hussaini. "Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models". EKB Journal Management System, 48, 1, 2004, 21-33. doi: 10.21608/esju.2004.313571
Al-Hussaini, E. (2004). 'Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models', EKB Journal Management System, 48(1), pp. 21-33. doi: 10.21608/esju.2004.313571
Al-Hussaini, E. Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models. EKB Journal Management System, 2004; 48(1): 21-33. doi: 10.21608/esju.2004.313571

Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models

The Egyptian Statistical Journal
Article 3, Volume 48, Issue 1, June 2004, Pages 21-33    PDF (7.97 M)
Document Type: Original Article
DOI: 10.21608/esju.2004.313571
Author
Essam K. Al-Hussaini*
Mathematics Department , University of Assiut, Assiut
Abstract
Bayesian predictive density functions of the median of a set of odd and even number of future order statistics are obtained when the observations (informative and future) are assumed to follow a finite mixture of components of general form and type 1 censoring is imposed on the informative sample. The prior belief of the experimenter is measured by a general class of distributions which includes most priors used in literature. A mixture of two Weibull components model is given as an application. A numerical example presents Bayesian prediction bounds of the future median of observations based on a finite mixture of two exponential components.
 
Keywords
Type 1 Censoring; Finite Mixture; Two; Sample Prediction; Prediction Intervals
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