Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation

Journal of Statistical Planning and Inference

Volumn 70, Issue 1, 1998, Pages 35-49

  Aggarwala, Rita ^a   Balakrishnan, N ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Best linear unbiased estimators; Computer simulation; Markov chain; Maximum likelihood estimators; Progressive type II censored samples; Truncated distribution; Uniform distribution

Indexed keywords

EID: 0032116896     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00173-0     Document Type: Article

References (25)

1. Arnold, B.C., Balakrishnan, N., Nagaraja, H.N., 1992. A First Course in Order Statistics. Wiley, New York.
2. Balakrishnan, N., Cohen, A., 1991. Order Statistics and Inference: Estimation Methods. Academic Press, San Diego.
3. Balakrishnan, N., Sandhu, R.A., 1995. A simple simulational algorithm for generating progressive Type-II censored samples. Am. Statist. 49, 229-230.
4. Balakrishnan, N., Sandhu, R.A., 1996. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive Type-II censored samples. Sankhya Ser. B 58, 1-9.
5. Cohen, A.C., 1963. Progressively censored samples in life testing. Technometrics 5, 327-329.
6. Cohen, A.C., 1966. Life testing and early failure. Technometrics 8, 539-549.
7. Cohen, A.C., 1975. Multi-censored sampling in the three parameter log-normal distribution. Technometrics 17, 347-351.
8. Cohen, A.C., 1976. Progressively censored sampling in the three parameter log-normal distribution. Technometrics 18, 99-103.
9. Cohen, A.C., 1991. Truncated and Censored Samples. Marcel Dekker, New York.
10. Cohen, A.C., Norgaard, N.J., 1977. Progressively censored sampling in the three parameter gamma distribution. Technometrics 19, 333-340.
11. Cohen, A.C., Whitten, B.J., 1988. Parameter Estimation in Reliability and Life Span Models. Marcel Dekker, New York.
12. David, H.A., 1981. Order Statistics, 2nd edn. Wiley, New York.
13. Graybill, F.A., 1983. Matrices with Applications in Statistics, 2nd edn. Wadsworth, Belmont, CA.
14. Horn, P.S., Schlipf, J.S., 1986. Generating subsets of order statistics with applications to trimmed means and means of trimmings. J. Statist. Comput. Simulation 24, 83-97.
15. Johnson, N.L., Kotz, S., Balakrishnan, N., 1995. Continuous Univariate Distributions - vol. 2, 2nd edn. Wiley, New York.
16. Lemon, G.H., 1975. Maximum likelihood estimation for the three parameter Weibull distribution based on censored samples. Technometrics 17, 247-254.
17. Lurie, D., Hartley, H.O., 1972. Machine-generation of order statistics for Monte Carlo computations. Am. Statist. 26, 26-27.
18. Lurie, D., Mason, R.L., 1973. Empirical investigation of several techniques for computer generation of order statistics. Commun. Statist. 2, 363-371.
19. Mann, N.R., 1971. Best linear invariant estimation for Weibull parameters under progressive censoring. Technometrics 13, 521-533.
20. Nelson, W., 1982. Applied Life Data Analysis. Wiley, New York.
21. Ramberg, J.S., Tadikamalla, P.R., 1978. On the generation of subsets of order statistics. J. Statist. Comput. Simulation 6, 239-241.
22. Scheffé, H., Tukey, J.W., 1945. Non-parametric estimation - I. Validation of order statistics. Ann. Math. Statist 16, 187-192.
23. Schucany, W.R., 1972. Order statistics in simulation. J. Statist. Comput. Simulation 1, 281-286.
24. Thomas, D.R., Wilson, W.M., 1972. Linear order statistic estimation for the two-parameter Weibull and extreme-value distributions from Type-II progressively censored samples. Technometrics 14, 679-691.
25. Viveros, R., Balakrishnan, N., 1994. Interval estimation of life characteristics from progressively censored data. Technometrics 36, 84-91.