Point estimation under asymmetric loss functions for left-truncated exponential samples

Communications in Statistics - Theory and Methods

Volumn 25, Issue 3, 1996, Pages 585-600

  Calabria, R ^a   Pulcini, G ^a  

^a ISTITUTO MOTORI CNR   (Italy)

Author keywords

Asymmetric loss functions; Bayes estimation; Left truncated exponential distribution; Risk function

Indexed keywords

EID: 0010334134     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929608831715     Document Type: Article

References (30)

1. Abu-Salih, M. S., Yousef, M. A. Q. and Ali, M. A. (1988). "On Bayes and empirical Bayes estimation of parameters and reliability function of two-parameter exponential distribution", J. Infor. Optim. Sciences, 9, 405-413.
2. Bain, L. J. (1978). Statistical Analysis of Reliability and Life Testing Models, Marcel Dekker, New York.
3. Basu, A. P. and Ebrahimi, N. (1991). "Bayesian approach to life testing and reliability estimation using asymmetric loss function", J. Statist. Plann. Inference, 29, 21-31.
4. Berger, J. O. (1980). Statistical Decision Theory: Foundations, Concepts, and Methods, Springer-Verlag, New York.
5. Calabria, R. and Pulcini G. (1994a). "An engineering approach to Bayes estimation for the Weibull distribution", Microelectron. Reliab., 34, 789-802.
6. Calabria, R. and Pulcini G. (1994b). "Bayes 2-sample prediction for the Inverse Weibull distribution", Commun. Statist. - Theory Meth., 23, 1811-1824.
7. Calabria, R. and Pulcini G. (1994c). "Bayes credibility intervals for the left-truncated exponential distribution", Microelectron. Reliab., 34, 1897-1907.
8. Canfield, R. V. (1970). "A Bayesian approach to reliability estimation using a loss function". IEEE Trans. Reliab., R-19, 13-16.
9. Davis, D. J. (1952). "The analysis of some failure data", J. Am. Statist. Assoc., 47, 113-160.
10. Dey, D. K., Ghosh, M. and Srinivasan, C. (1987). "Simultaneous estimation of parameters under entropy loss", J. Statist. Plann. Inference, 347-363.
11. Dey, D. K. and Pei-San Liao Liu (1992). "On comparison of estimators in a generalized life model", Microelectron. Reliab., 32, 207-221.
12. Erto, P. and Guida, M. (1985). "Estimation of Weibull reliability from few life tests", Quality and Reliability Engineering International, 1, 161-164.
13. Evans, I. G. and Nigm, A. H. M. (1980). "Bayesian prediction for the left truncated exponential distribution", Technometrics, 22, 201-204.
14. Ferguson, T. S. (1967). Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York.
15. Feynman, R. P. (1987). "Mr. Feynman goes to Washington", Engineering and Science, California Institute of Technology, Pasadena, CA, 6-22.
16. Grubbs, F. E. (1971). "Approximate fiducial bounds on reliability for the two parameter negative exponential distribution", Technometrics, 13, 873-876.
17. Guttman, I. and Tiao, G. C. (1964). "A Bayesian approach to some best population problems", Ann. Math. Statist., 35, 825-835.
18. Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data, John Wiley, New York.
19. Lawless, J. F. (1982). Statistical Models & Methods for Lifetime Data, John Wiley, New York.
20. Mann, N. R., Schafer, R. E. and Singpurwalla, N. D. (1974). Methods for Statistical Analysis of Reliability and Life Data, John Wiley, New York.
21. Pandey, B. N. and Rai, O. (1992). "Bayesian estimation of mean and square of mean of normal distribution using LINEX loss function", Commun. Statist. - Theory Meth., 21, 3369-3391.
22. Parsian, A. and Sanjari Farsipour, N. (1993). "On the admissibility and inadmissibility of estimators of scale parameters using an asymmetric loss function", Commun. Statist. - Theory Meth., 22, 2877-2901.
23. Rukhin, A. L. and Ananda, M. M. A. (1989). "Estimating exponential reliability function and exponential density", Statist. Decisions 7, 277-296.
24. Schäbe, H. (1991). "Bayes estimates under asymmetric loss", IEEE Trans. Reliab., 40, 63-67.
25. Sinha, S. K. (1986). Reliability and Life Testing. Wiley Eastern, New Delhi.
26. Sinha, S. K. and Guttman, I. (1976). "Bayesian inference about the reliability function for the exponential distribution", Commun. Statist. - Theory Meth., A5, 471-479.
27. Singh, U., Upadhyay, S. K. and Singh, R. (1994). "Bayes estimators of exponential parameters utilizing a guessed guarantee with specified confidence", Microelectron. Reliab., 34 (1), 141-145.
28. Varde, S. D. (1909). "Life testing and reliability estimation for the two parameter exponential distribution", J. Am. Statist. Assoc., 64, 621-631.
29. Varian, H. R. (1975). "A bayesian approach to real estate assessment", Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savage, (Fienberg and Zellner, Eds.), North Holland, Amsterdam, 195-208.
30. Zellner, A. (1986). "Bayesian estimation and prediction using asymmetric loss functions", J. Am. Statist. Assoc., 81, 446-451.