Bayesian and Frequentist Two-Sample Predictions of the Inverse Weibull Model Based on Generalized Order Statistics
Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 45-66
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This paper is concerned with the problem of deriving Bayesian prediction bounds for the future observations (two-sample prediction) from the inverse Weibull distribution based on generalized order statistics (GOS). Study the two side interval Bayesian prediction, point prediction under symmetric and asymmetric loss functions and the maximum likelihood (ML) prediction using "plug-in" procedure for future observations from the inverse Weibull distribution based on GOS. Study the problem of predicting future records based on observed progressive type II censored data and observed order statistics from the inverse Weibull distribution. Finally, a numerical example using real data are used to illustrate the procedure.
Keywords:
Prediction, Inverse Wiebull, Generalized Order Statistics, Record Values, Progressive Type II Censored, Symmetric Loss Functions, Asymmetric Loss Functions
@article{SMJ2_2011_37_1_a3,
author = {Abd Ellah, A. H.},
title = {Bayesian and {Frequentist} {Two-Sample} {Predictions} of the {Inverse} {Weibull} {Model} {Based} on {Generalized} {Order} {Statistics}},
journal = {Serdica Mathematical Journal},
pages = {45--66},
year = {2011},
volume = {37},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a3/}
}
TY - JOUR AU - Abd Ellah, A. H. TI - Bayesian and Frequentist Two-Sample Predictions of the Inverse Weibull Model Based on Generalized Order Statistics JO - Serdica Mathematical Journal PY - 2011 SP - 45 EP - 66 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a3/ LA - en ID - SMJ2_2011_37_1_a3 ER -
Abd Ellah, A. H. Bayesian and Frequentist Two-Sample Predictions of the Inverse Weibull Model Based on Generalized Order Statistics. Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 45-66. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a3/