Research Article

On Bayesian One-sample Prediction of the Generalized Pareto Distribution based on Generalized Order Statistics

by  M.A.W. Mahmoud, A.A.K. Saleh
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 132 - Issue 4
Published: December 2015
Authors: M.A.W. Mahmoud, A.A.K. Saleh
10.5120/ijca2015907430
PDF

M.A.W. Mahmoud, A.A.K. Saleh . On Bayesian One-sample Prediction of the Generalized Pareto Distribution based on Generalized Order Statistics. International Journal of Computer Applications. 132, 4 (December 2015), 44-51. DOI=10.5120/ijca2015907430

                        @article{ 10.5120/ijca2015907430,
                        author  = { M.A.W. Mahmoud,A.A.K. Saleh },
                        title   = { On Bayesian One-sample Prediction of the Generalized Pareto Distribution based on Generalized Order Statistics },
                        journal = { International Journal of Computer Applications },
                        year    = { 2015 },
                        volume  = { 132 },
                        number  = { 4 },
                        pages   = { 44-51 },
                        doi     = { 10.5120/ijca2015907430 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2015
                        %A M.A.W. Mahmoud
                        %A A.A.K. Saleh
                        %T On Bayesian One-sample Prediction of the Generalized Pareto Distribution based on Generalized Order Statistics%T 
                        %J International Journal of Computer Applications
                        %V 132
                        %N 4
                        %P 44-51
                        %R 10.5120/ijca2015907430
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

Bayesian predictive functions for future observations from a generalized Pareto distribution based on generalized order statistics are obtained. Two cases are considered unknown one parameter and unknown two parameters. We also consider two cases fixed sample size and random sample size. The Bayesian predictive functions are specialized to ordinary order statistics, progressive type II censoring and upper record values. Examples are calculated for the lower and the upper bounds for the future observation based on ordinary order statistics, progressive type II censoring and upper record samples.

References
  • order statistics. Ann. Statist. 3, 119-131.
  • Castillo, E., Hadi, A. S., 1977. Fitting the generalized Pareto distribution to data. J. Amer Statist. Assoc. 92(440), 1609- 1620.
  • Kamps, U., 1995. A Concept of Generalized Order statistics. Teubner, Stuttgart, Germany.
  • Cramer, E. & Kamps, U., 2003. Marginal distributions of sequential and generalized order statistics. Metrika. 58, 293-310.
  • Ahmad, A.A., Fawzy, M., 2003. Recurrence relations for single moments of generalized order statistics from doubly truncated distributions and its characterizations. J. Statist. Plann.Inf. 177, 241-249.
  • Cramer, E., Kamps, U., 2000. Relations for expectations of functions of generalized order statistics. J. Statist. Plann.Inf. 89, 79-89.
  • Mohie El-Din,M.M, Abdel-Aty, Y., Shafay, A.R., 2011.Two sample Bayesian prediction intervals for order statistics based on the inverse exponential-type distributions using right censored sample. Egyptian Mathematical Society. 19, 102-105.
  • Prakash, G., 2012. Central Coverage Bayes Prediction Intervals for the Generalized Pareto Distribution. Statistics Research Letters. 1(1), 1-5.
  • Gupta, D., Gupta, R. C., 1984. On the distribution of order statistics for a random sample size. Statist. Nearland. 38, 13- 19.
  • Kamps, U., Gather, U., 2001. On distributions of generalized order statistics. Statistics. 35, 269-280.
  • Balakrishnan, N., Aggarwala, R., 2000. Progressive Censoring: Theory, Methods and Applications. Birkh¨auser, Boston, Berlin.
  • Balakrishnan, N., Sandhu, R. A., 1995. A simple simulation algorithm for generating progressive Type-II censored samples. Amer.Statist. 49(2), 229–230.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Bayesian prediction generalized order statistics generalized Pareto distribution ordinary order statistics predictive function random sample size.

Powered by PhDFocusTM