Prediction intervals for ordinary and dual generalized order statistics from two independent sequences |
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Authors: | M M Mohie El-Din |
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Institution: | Department of Mathematics, Faculty of Science, Al-Azhark, University, Nasr City, Cairo, Egypt |
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Abstract: | ABSTRACTBased on the observed dual generalized order statistics drawn from an arbitrary unknown distribution, nonparametric two-sided prediction intervals as well as prediction upper and lower bounds for an ordinary and a dual generalized order statistic from another iid sequence with the same distribution are developed. The prediction intervals for dual generalized order statistics based on the observed ordinary generalized order statistics are also developed. The coverage probabilities of these prediction intervals are exact and free of the parent distribution, F. Finally, numerical computations and real examples of the coverage probabilities are presented for choosing the appropriate limits of the prediction. |
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Keywords: | Dual generalized order statistics Generalized order statistics Prediction intervals Progressive order statistics Records Sequential order statistics |
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