On Bayesian interval prediction of future records

Test

Volumn 12, Issue 1, 2003, Pages 79-99

  Al Hussaini, Essam K ^a   Ahmad, Abd El Baset A ^a  

^a Assiut University   (Egypt)

Author keywords

Bayesian prediction; One sample scheme; Records

Indexed keywords

EID: 0043032907     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02595812     Document Type: Article

References (52)

1. AHSANULLAH, M. (1980). Linear prediction of record values for the two parameter exponential distribution. Annals of the Institute of Statistical Mathematics, 32:363-368.
2. AHSANULLAH, M. (1990). Estimation of the parameters of the Gumbel distribution based on m record values. Computational Statistics Quarterly, 6:231-239.
3. AHSANULLAH, M. (1994). On record values from univariate distributions. In J. Galambos, J. Lechner, and E. Simiu, eds., Proceedings of the Conference on Extreme Value Theory and Applications, vol. 3, pp. 1-16.
4. AITCHESON, J. and DUNSMORE, I. (1975). Statistical Prediction Analysis. Cambridge University Press, Cambridge.
5. AL-HUSSAINI, E. K. (1999a). Bayesian prediction under a mixture of two exponential components model based on type I censoring. Journal of Applied Statistical Science, 8:173-185.
6. AL-HUSSAINI, E. K. (1999b). Predicting observables from a general class of distributions. Journal of Statistical Planning and Inference, 79:79-91.
7. st Century, pp. 223-245. World Scientific, Singapore.
8. AL-HUSSAINI, E. K. and JAHEEN, Z. (1992). Bayesian estimation of the parameters, reliability and failure rate functions of the Burr type XII failure model. Journal Statistical Computation and Simulation, 44:31-40.
9. AL-HUSSAINI, E. K. and JAHEEN, Z. F. (1995). Bayesian prediction bounds for the Burr type XII model. Communications in Statistics, Theory and Methods, 24(7):1829-1842.
10. AL-HUSSAINI, E. K. and JAHEEN, Z. F. (1996a). Bayesian prediction bounds for the Burr type XII distribution in the presence of outliers. Journal of Statistical Planning and Inference, 55:23-37.
11. AL-HUSSAINI, E. K. and JAHEEN, Z. F. (1996b). Parametric prediction bounds for the future median of the exponential distribution. Statistics, 32:267-275.
12. AL-HUSSAINI, E. K., NIGM, A. M., and JAHEEN, Z. (2001). Bayesian prediction based on finite mixtures of lomax components model and type I censoring. Statistics, 35(3):259-268.
13. ARNOLD, B., BALAKRISHNAN, N., and NAGARAJA, H. N. (1998). Records. Wiley, New York.
14. ARNOLD, B. and PRESS, S. J. (1983). Bayesian inference for Pareto populations. Journal of Econometrics, 21:287-306.
15. ARNOLD, B. and PRESS, S. J. (1989). Bayesian estimation and prediction for Pareto data. Journal of the American Statistical Association, 84:1079-1084.
16. ARNOLD, B. C. (1983). Pareto Distributions, vol. I. International Cooperative Publishing House, Fairland, Maryland.
17. BALAKRISHNAN, N., AHSANULLAH, M., and CHAN, P. S. (1995). On the logistic record values and associated inference. Journal of Applied Statistical Science, 2:233-248.
18. BALAKRISHNAN, N. and CHAN, P. S. (1994). Record values from Rayleigh and Weibull distributions and associated inference. In J. Galambos, J. Lechner, and E. Simiu, eds., Proceedings of the Conference on Extreme Value Theory and Applications, vol. 3, pp. 41-51.
19. BERNARDO, J. M. and SMITH, A. F. M. (1994). Bayesian Theory. Wiley, New York.
20. BERRED, A. M. (1998). Prediction of record values. Communications in Statistics, Theory and Methods, 27:2221-2240.
21. CORCUERA, J. M. and GIUMMOLÈ, F. (1999). A generalized Bayes rule for prediction. Scandinavian Journal of Statistics, 26:265-279.
22. DOGANAKSO, N. and BALAKRISHNAN, N. (1997). A useful property of best linear unbiased prediction with applications to life testing. The American Statistician, 51:22-28.
23. DUNSMORE, I. R. (1974). The Bayesian predictive distribution in life testing models. Technometrics, 16:455-460.
24. DUNSMORE, I. R. (1976). Asymptotic prediction analysis. Biometrika, 63:627-630.
25. DUNSMORE, I. R. (1983). The future occurrence of records. Annals of the Institute of Statistical Mathematics, 35:267-277.
26. DUNSMORE, I. R. and AMIN, Z. H. (1998). Some prediction problems concerning samples from the Pareto distribution. Communications in Statistics, Theory and Methods, 27:1221-1238.
27. FLINGER, M. A. and WOLFE, D. A. (1976). Some applications of sample analogues to probability integral transform and a coverage property. The American Statistician, 30:78-85.
28. FLINGER, M. A. and WOLFE, D. A. (1979a). Methods for obtaining distribution-free prediction interval for the median of a future sample. Journal of Quality and Technology, 11:192-198.
29. FLINGER, M. A. and WOLFE, D. A. (1979b). Nonparametric prediction intervals for a future sample median. Journal of the American Statistical Association, 74:453-456.
30. GEISSER, S. (1975). The predictive sample reuse method with applications. Journal of the American Statistical Association, 70:320-328.
31. GEISSER, S. (1984). Predicting Pareto and exponential observables. Canadian Journal of Statistics, 12:143-152.
32. GEISSER, S. (1985). Interval prediction for Pareto and exponential observables. Journal of Econometrics, 29:173-185.
33. GEISSER, S. (1986). Predictive analysis. In S. Kotz, N. L. Johnson, and C. B. Read, eds., Encyclopedia of Statistical Sciences, vol. 7, pp. 158-170. Wiley, New York.
34. GEISSER, S. (1990). On hierarchical Bayes procedures for predicting simple exponential survival. Biometrics, 46:225-230.
35. GEISSER, S. (1993). Predictive Inference: An Introduction. Chapman and Hall, London.
36. GUILBAUD, O. (1983). Nonparametric prediction intervals for sample medians in the general case. Journal of the American Statistical Association, 78:937-941.
37. HOWLADER, H. A. and HOSSAIN, A. (1995). On Bayesian estimation and prediction from Rayleigh based on type II censored data. Communications in Statistics, Theory and Methods, 24:2249-2259.
38. JOHNSON, N. L., KOTZ, S., and BALAKRISHNAN, N. (1994). Continuous Univariate Distributions, vol. 1. Wiley, New York, 2nd ed.
39. JOHNSON, N. L., KOTZ, S., and BALAKRISHNAN, N. (1995). Continuous Univariate Distributions, vol. 2. Wiley, New York, 2nd ed.
40. JOHNSON, R. A., EVANS, J. W., and GREEN, D. W. (1999). Nonparametric Bayesian predictive distributions for future order statistics. Statistics and Probability Letters, 41:247-254.
41. KAMINSKY, K. S. and NELSON, P. I. (1998). Prediction on order statistics. In N. Balakrishnan and C. R. Rao, eds., Handbook of Statistics, vol. 17, pp. 431-450. Elsevier Science, Amsterdam.
42. LEE, J. C. and LIAO, Y. L. (1999). A note on Bayesian estimation and prediction for the beta-binomial model. Journal Statistical Computation and Simulation, 63:73-91.
43. LINGAPPAIAH, G. S. (1978). Bayesian approach to the prediction problem in the exponential population. IEEE Transactions on Reliability, R-27:222-225.
44. LINGAPPAIAH, G. S. (1979). Bayesian approach to prediction and the spacings in the exponential distribution. Annals of the Institute of Statistical Mathematics, 31:391-401.
45. LINGAPPAIAH, G. S. (1980). Intermittent life testing and Bayesian approach to prediction with spacing in the exponential model. Statistica, 40:477-490.
46. LINGAPPAIAH, G. S. (1986). Bayes prediction in the exponential life-testing when sample size is a random variable. IEEE Transactions on Reliability, 35:106-110.
47. LINGAPPAIAH, G. S. (1989). Bayes prediction of maxima and minima in exponential life tests in the presence of outliers. Journal of Indusrial Mathematical Society, 39:169-182.
48. LWIN, T. (1972). Estimating the tail of the Paretian law. Skadinavian Aktuarietidskr, 55:170-178.
49. MARITZ, J. S. and LWIN, T. (1989). Empirical Bayes Methods. Chapman and Hall, London, 2nd ed.
50. NAGARAJA, H. N. (1984). Asymptotic linear prediction of extreme order statistics. Annals of the Institute of Statistical Mathematics, 36:289-299.
51. NAGARAJA, H. N. (1995). Prediction problems. In N. Balakrishnan and A. P. Basu, eds., The Exponential Distribution: Theory and Applications, pp. 139-163. Gordon and Breach, New York.
52. PATEL, J. K. (1989). Prediction intervals-a review. Communications in Statistics, Theory and Methods, 18:2393-2465.