BAYESIAN TWO-SAMPLE PREDICTION OF THE GENERALIZED PARETO DISTRIBUTION WITH FIXED AND RANDOM SAMPLE SIZES BASED ON GENERALIZED ORDER STATISTICS

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 5

Abstract

Bayesian predictive intervals for future observations from a future sample from the generalized Pareto distribution (GPD) based on generalized order statistics (GOS) are obtained when the shape parameter is unknown. We consider two cases: (i) fixed sample size (FSS), and (ii) random sample size (RSS).Some closed forms for the Bayesian predictive functions are obtained. Finally examples are calculated for the lower and the upper bounds of the future observations in cases when the future sample is ordinary order statistics (OOS), record values and progressive type II censoring with different values for the scale parameter  

Authors and Affiliations

Mohamed Abd Al wahhab Mahmoud, Asmaa Ahmed Saleh

Keywords

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  • EP ID EP651391
  • DOI 10.24297/jam.v9i5.2334
  • Views 164
  • Downloads 0

How To Cite

Mohamed Abd Al wahhab Mahmoud, Asmaa Ahmed Saleh (2014). BAYESIAN TWO-SAMPLE PREDICTION OF THE GENERALIZED PARETO DISTRIBUTION WITH FIXED AND RANDOM SAMPLE SIZES BASED ON GENERALIZED ORDER STATISTICS. JOURNAL OF ADVANCES IN MATHEMATICS, 9(5), 2635-2646. https://www.europub.co.uk/articles/-A-651391