Bayesian prediction of order statistics based on k-record values from exponential distribution

Abstract

Bayesian prediction of order statistics as well as the mean of a future sample based on observed record values from an exponential distribution are discussed. Several Bayesian prediction intervals and point predictors are derived. Finally, some numerical computations are presented for illustrating all the proposed inferential procedures.

Keywords:

• digamma function
• highest conditional posterior density
• interval prediction
• order statistics
• point prediction
• predictive density
• record values

Mathematics Subject Classification :

• Primary: 62G30
• Secondary: 62E15

Acknowledgements

The authors thank the referee for some useful comments and suggestions on the original version of this manuscript, which led to this improved version. Ahmadi's research was supported by a grant from Ferdowsi University of Mashhad (No.MS88110AHM).

Additional information

Notes on contributors

Jafar Ahmadi

The first and third authors are also members of the Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad.

N. Balakrishnan

The first and third authors are also members of the Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad.