A note on the prediction intervals for a future ordered observation from a Pareto distribution

Quality and Quantity

Volumn 38, Issue 2, 2004, Pages 217-233

  Wu, Jong Wuu ^a   Lu, Hai Lin ^b   Chen, Chong Hong ^b   Yang, Chien Hui ^a  

^a TAMKANG UNIVERSITY   (Taiwan)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Best linear unbiased estimator; Monte Carlo simulation; Pareto distribution; Prediction interval; Right type II censored samples

Indexed keywords

EID: 3843115729     PISSN: 00335177     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:QUQU.0000019389.26979.53     Document Type: Article

References (13)

1. Arnold, B. C. & Press, S. J. (1989). Bayesian estimation and prediction for Pareto data. J. Amer. Statistical Assoc. 84: 1079-1084.
2. Balakrishnan, N. & Cohen, C. A. (1991). Order statistics and inference. Academic Press, Inc.
3. Engelhardt, M., Bain, L. J. & Shiue, W. K. (1986). Statistical analysis of a compound exponential failure model. J. Statistical Computation and Simulation 23: 229-315.
4. IMSL (1995) Microsoft Developer Studio Fortran Powerstation 4.0, Microsoft Corporation.
5. Johnson, N. L., Kotz, S. & Balakrishnan, N. (1994). Continuous Univariate Distribution, Vol.1. John Wiley and Sons, Inc., New York.
6. Kaminsky, K. S. & Nelson, P. I. (1975). Best linear unbiased prediction of order statistics in location and scale families. J. Amer. Statistical Assoc 70: 145-150.
7. Likeš J. (1974). Prediction of s-th ordered observation for the two-parameter exponential distribution. Technometrics 16: 241-244.
8. McNolty, F. & Doyle, J. (1980). Hansen E. Properties of the mixed exponential failure process. Technometrics 22: 555-565.
9. Nigm, A. M. & Hamdy, H. I. (1987). Bayesian prediction bounds for the Pareto lifetime model. Communication in Statistics - Theory and Methods 16: 1761-1772.
10. Ouyang, L. Y. & Wu, S. J. (1994). Prediction intervals for an ordered observation from a Pareto distribution. IEEE Transactions on Reliability 43: 264-269.
11. Upadhyay, S. K., Singh, U. & Shastri, V. (1996). Estimation of exponential parameters under multiply type II censoring. Communication in Statistics - Simulation 25(3): 801-815.
12. Vännman, K. (1976). Estimators based on order statistics from a Pareto distribution. J. Amer. Statistical Assoc 71: 704-708.
13. Wu, J. W., Lu, H. L., Chen, C. H. & Yang, C. H. (2001). Prediction interval for a future ordered observation from a Pareto distribution, Department of Statistics, Tamkang University, Technical Report, No. 6.