Conditional confidence interval estimation for the inverse weibull distribution based on censored generalized order statistics

Journal of Statistical Computation and Simulation

Volumn 73, Issue 12, 2003, Pages 887-898

  Maswadah, M ^a  

^a ASWAN UNIVERSITY   (Egypt)

Author keywords

Complete and censored generalized order statistics; Conditional confidence intervals; Inverse Weibull distribution; Maximum likelihood estimates; Monte Carlo simulation

Indexed keywords

EID: 0345491412     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/0094965031000099140     Document Type: Article

References (29)

1. Balakrishnan, N., Cramer, E. and Kamps, U. (2001). Bounds for means and variances of progressive type-II censored order statistics. Statistics & Probability Letters, 24, 301-315.
2. Calabria, R. and Pulcini, G. (1989). Confidence limits for reliability and tolerance limits in the inverse Weibull distribution. Reliability Engineering and System Safety, 24, 77-85.
3. Calabria, R. and Pulcini, G. (1990). On the maximum likelihood and leastsquares estimation in the inverse Weibull distribution. Statistica Applicata, 2, 53-66.
4. Calabria, R. and Pulcini, G. (1992). Bayes probability intervals in a load-strength model. Comm. In - Statistics Theory and Methods, 21, 3393-3405.
5. Calabria, R. and Pulcini, G. (1994). Bayes 2-sample prediction for the inverse Weibull distribution. Commun. Statist. - Theory Meth., 23(6), 1811-1824.
6. Cramer, E. and Kamps, U. (2000). Relations for expectations of functions of generalized order statistics. Journal of Statistical Planning and Inference, 89, 79-89.
7. Cramer, E. and Kamps, U. (2001). Estimation with sequential order statistics from exponential distribution. Ann. Inst. Statist. Meth., 53, 307-324.
8. Cohen, A. C. (1975). Multi-censored sampling in the three-parameter Weibull distribution. Technometrics, 17, 347-351.
9. Dumonceaux, R. and Antle, C. E. (1973). Discrimination between the lognormal and Weibull distribution. Technometrics, 15, 923-926.
10. Erto, P. (1986). New practical Bayes estimators for the two-parameter Weibull distribution. IEEE Trans. Reliab., R.-31(21), 194-197.
11. Erto, P. (1989). Genesis, properties and identification of the inverse Weibull lifetime model (in italian). Statistica Applicata, 2, 117-128.
12. Fraser, D. A. S. (1968). The Structural of Inference. John Wiley & sons, New York.
13. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions-1, 2nd ed, John Wiley & Sons.
14. Kamps, U. (1995a). A concept of generalized order statistics. J. Statistical Planning & Inference, 48, 1-23.
15. Kamps, U. (1995b). A Concept of Generalized Order Statistics. Teubner, Stuttgart.
16. Kamps, U. (1995c). Subranges of generalized statististics from exponential distributions. Faciculi Mathematici, 28, 63-70.
17. Kamps, U. (1998). Order statistics. Generalized in Encyclopedia of Statistical Science, Update Vol. 3.
18. Kamps, U. and Cramer, E. (2001). On distributions of generalized order statistics. Statistics, 35(8), 269-280.
19. Keller, A.Z. and Kamath, A. R. R. (1982). Alternative reliability models for mechanical systems. Paper presented at 3rd International conference on Reliability and Maintainability, Toulouse, France.
20. Keller, A. Z., Giblin, M. T. and Farnworth, N. R. (1985). Reliability Analysis of Commercial Vehicle Engines Reliability Engineering, 10, 15-25.
21. Lawless, J. F. (1973). Conditional versus unconditional confidence intervals for the parameters of the Weibull distribution. J. Amer. Statist. Assoc., 68, 669-679.
22. Lawless, J. F. (1974). Approximations to confidence intervals in the extreme value and Weibull distributions. Biometrika, 61, 123-129.
23. Lawless, J. F. (1975). Construction of tolerance bounds for the extreme value and Weibull distributions. Technometrics, 71, 255-261.
24. Lawless, J. F. (1978). Confidence interval estimation for the Weibull and extreme value distributions. Technometrics, 20, 355-364.
25. Lawless, J. F. (1980). Inference in the generalized gamma and log gamma distributions. Technometrics, 22(3), 409-419.
26. Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
27. Lemon, G. H. (1975). Maximum likelihood estimation for the three-parameter Weibull distribution based on censored samples. Technometrics, 17, 247-254.
28. Nelson, W. (1982). Applied Life Analysis. John Wiley & Sons, New York.
29. Viveros, R. and Balakrishnan, N. (1994). Interval estimation of parameters of life from progressively censored data. Technometrics, 36(1), 84-91.