Abstract
The two-parameter Burr type XII distribution is proposed to be the underlying model from which observables are to be predicted by using Bayesian approach. Progressively type-II censored data from the Burr distribution are considered and the two samples prediction technique is used. A numerical example is given to illustrate the performance of the procedures.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aggarwala, R. and Balakrishnan, N. (1996) Recurrence relations for single and product moments of progressive type-II right censored order statistics from exponential and truncated exponential distributions. Ann. Inst. Statist. Math., 48, 4, 757–771.
Aggarwala, R. and Balakrishnan, N. (1998) Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation. J. Statist. Plain. Inference, 70, 35–49.
AL-Hussaini, E.K. and Jaheen, Z.F. (1995) Bayesian prediction bounds for the Buntype XII failure model. Commun. Statist.-Theory Meth.,24(7), 1829–1842.
AL-Hussaini, E.K. and Jaheen, Z.F. (1996) Bayesian prediction bounds for the Burr type XII distribution in the presence of outliers. J. Statist. Plain. Inference, 55, 23–37.
AH Mousa, M.A.M. and Jaheen, Z.F. (1997) Bayesian prediction for the Burr type XII model based on doubly censored data. Statistics, 29, 285–294.
Ali Mousa, M.A.M. and Jaheen, Z.F. (1998) Bayesian prediction for the two parameter Burr type XII model based on doubly censored data. J. Appl. Statist. Science, 7(2/3), 103–111.
Balakrishnan, N. and Aggarwala, R. (2000) Progressive Censoring: Theory, Methods and Applications. Birkhauser Boston.
Balakrishnan, N. and Sandhu, R.A. (1995) A simple simulation algorithm for generating progressive type-II censored samples. American Statistician, 49, 2, 229–230.
Balakrishnan, N. and Sandhu, R.A. (1996) Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples. Sankhya, B, 58, 1–9.
Burr, I.W. (1942) Cumulative frequency functions. Ann. Math. Statist., 13, 215–232.
Burr, I.W. and Cislak, P.J. (1968) On a general system of distributions: I. Its curveshape characteristics: II. The sample median. J. Amer. Statist. Assoc., 63, 627–635.
Cohen, A. C. (1975) Multi-censored sampling in the three parameter Weibull distribution. Technometrics, 17, 347–351.
Cohen, A. C. (1976) Progressively censored sampling in the three parameter lognormal distribution. Technometrics, 18, 99–103.
Dunsmore, I.R. (1974) The Bayesian predictive distribution in life testing models. Technometrics, 16, 455–460.
Gupta, P.L., Gupta, R.C. and Lvin, S.Ya. (1996) Analysis of failure time data by Burr distribution. Commun. Statist-Theory Meth., 25(9), 2013–2024.
Nigm, A.M. (1988) Prediction bounds for the Burr model. Common. Statist.— Theory Meth., 17, 287–297.
Papadopoulos, A.S. (1978) The Burr distribution as a failure model from a Bayesian approach. IEEE. Trans. Rel., R-27, 367–371.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mousa, M.A.M.A., Jaheen, Z.F. Bayesian prediction for progressively censored data from the Burr model. Statistical Papers 43, 587–593 (2002). https://doi.org/10.1007/s00362-002-0126-7
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s00362-002-0126-7