Improved Predictive Inference for Responses Based on Location Parameter Median from the Rayleigh Model Given a Doubly Censored Sample

Abstract

The purpose of this article is to investigate the predictive inference for responses from the location parameter mean as well as from the median given a doubly censored sample from the two-parameter Rayleigh model. The predictive results by Khan et al. (2010) are used to obtain the predictive inference for responses from the median, where Khan et al. (2010) obtained the future estimates from the mean. A numerical example representing 66 liver cancer patients is used for predictive analysis. It is concluded that the predictive inference from the median gives precise results as compared with the location parameter mean.

Keywords:

• Bayesian approach
• Doubly censored sample
• Predictive inference
• Statistical inference
• Two-parameter Rayleigh model

Mathematics Subject Classification:

• 62N05
• 62F15
• 62M20

Acknowledgements

The author would like to thank the Editor and referees for their valuable comments, which greatly improved the presentation of the materials.