|
|||||
|
|
Bayesian prediction of order statistics with fixed and random sample sizes based on k-record values from Pareto distribution |
|
| Authors: | A R Shafay N Balakrishnan Jafar Ahmadi |
| Institution: | 1. Nature Science Department, Community College of Riyadh, King Saud University, Riyadh, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt;3. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada;4. Visiting Professor, King Abdulaziz University, Jeddah, Saudi Arabia;5. Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran |
| Abstract: | In this paper, the two-parameter Pareto distribution is considered and the problem of prediction of order statistics from a future sample and that of its geometric mean are discussed. The Bayesian approach is applied to construct predictors based on observed k-record values for the cases when the future sample size is fixed and when it is random. Several Bayesian prediction intervals are derived. Finally, the results of a simulation study and a numerical example are presented for illustrating all the inferential procedures developed here. |
| Keywords: | Bayesian prediction geometric mean k-records order statistics Pareto distribution random sample size |