Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2651

 Title: Bayesian Prediction of Weibull Distribution Based on Fixed and Random Sample Size Authors: Ellah, A. H. Abd Keywords: Predictive FunctionRandom Sample SizePredictive IntervalsBayesian Prediction Issue Date: 2009 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 35, No 2, (2009), 129p-146p Abstract: We consider the problem of predictive interval for future observations from Weibull distribution. We consider two cases they are: (i) fixed sample size (FSS), (ii) random sample size (RSS). Further, we derive the predictive function for both FSS and RSS in closed forms. Next, the upper and lower 1%, 2.5%, 5% and 10% critical points for the predictive functions are calculated. To show the usefulness of our results, we present some simulation examples. Finally, we apply our results to some real data set in life testing given in Lawless [16]. Description: 2000 Mathematics Subject Classification: 62E16, 65C05, 65C20. URI: http://hdl.handle.net/10525/2651 ISSN: 1310-6600 Appears in Collections: Volume 35, Number 2

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