Empirical Bayes estimation in the case of exponential reliability

Reliability Engineering and System Safety

Volumn 53, Issue 2, 1996, Pages 105-113

  Grabski, Franciszek ^a   Sarhan, Ammar ^b  

^a Navy Academy of Poland   (Poland)

^b Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FAILURE (MECHANICAL); PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RELIABILITY; STATISTICS;

BAYES ESTIMATION; EXPONENTIAL RELIABILITY; SPLINE DENSITY ESTIMATE;

PROBABILITY;

EID: 0030206287     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/0951-8320(96)00046-4     Document Type: Article

References (21)

1. Robbines, H., An empirical approach to statistics. In Proc. 3rd Berkeley Symp., Mathematical Statistics and Probability, 1955, pp. 157-163.
2. Robbines, H., The empirical Bayes approach to statistical decision problems. Ann. Math. Statist., 35 (1964) 1-20.
3. Maritz, J. S., Smooth empirical Bayes estimation for one-parameter discrete distribution. Biometrika, 54 (1967) 417-429.
4. Maritz, J. S., Smooth empirical Bayes estimation for continuous distribution. Biometrika, 54 (1967) 435-450.
5. Maritz, J. S., Empirical Bayes Methods, Methuen and Co., Ltd. London., 1970.
6. Krutchkoff, R. G., Empirical Bayes estimation. The Am. Statistician, 26 (1972) 14-16.
7. Martz, H. F., Pooling life-test data by means of the empirical Bayes method. IEEE Trans. Rel., R-24 (1975) 27-30.
8. Couture, D. J. & Martz, H. F., Empirical Bayes estimation in the Weibull distribution. IEEE Trans. Rel., R-21 (1972) 75-83.
9. Canavos, G. C., An empirical Bayes approach for the Poisson life distribution. IEEE Trans. Rel., R-22 (1973) 91-96.
10. Padgett, W. J. & Robinson, J. A., Empirical Bayes estimators of reliability for lognormal failure model. IEEE Trans. Rel., R-27 (1978) 332-336.
11. Sinha, S. K. & Guttman, I., Bayesian inference about the reliability function for the exponential distributions. Comm. Stat. - Theory and Methods, A5 (1976) 471-479.
12. Harris, C. M. & Singpurwalla, N. D., Life distributions derived from stochastic hazard functions. IEEE Trans. Rel., R-17 (1968) 70-79.
13. Moore, A. H. & Bilikam, J. E., Bayesian estimation of parameters of life distributions and reliability from type-II censored samples. IEEE Trans. Rel., R-27 (1978) 64-67.
14. Grabski, F. & Sarhan, A., Bayesian estimation in exponential reliability. Advances in Modelling and Analysis, B, 34 (1995) 33-43.
15. Martz, H. F. & Waller, R. A., Bayesian Reliability Analysis, Wiley, New York, 1982.
16. Ciesielski, Z., Local spline approximation and nonparametric density estimation. In Int. Conf. Constructive Theory of Function, Varna, 25-31 May 1987.
17. Ciesielski, Z., Asymptotic nonparametric spline density estimation. Probab. Math. Statist., 12 (1991) 1-24.
18. Krzykowski, G., Equivalent conditions for the nonparametric spline density estimators. Prob. Math. Statist., 13 (1992) 269-276.
19. Krzykowski, G., The choosing of the window parameter in spline density estimation. Preprint, University of Gdansk, Nr 98, 1994.
20. Krzykowski, G., On automatic choice of the window parameter in the nonparametric density estimation. Preprint, The University of Gdansk, Nr 99, 1994.
21. Bhattacharya, S. K., Bayesian approach to life testing and reliability estimation. J. Am. Statist. Ass., 62 (1967) 48-62.