Bayesian estimation for the exponentiated Weibull model

Communications in Statistics - Theory and Methods

Volumn 33, Issue 10, 2004, Pages 2343-2362

  Nassar, M M ^a   Eissa, Fathy H ^b  

^a Ain Shams University   (Egypt)

^b National Center for Sociological and Criminological Research Cairo   (Egypt)

Author keywords

Bayesian analysis; EW distribution; Informative prior; LINEX loss function; Maximum likelihood estimates; Squared error loss function

Indexed keywords

ERROR ANALYSIS; FUNCTIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS;

BAYESIAN ANALYSIS; EW DISTRIBUTION; INFORMATIVE PRIOR; LINEX LOSS FUNCTION; MAXIMUM LIKELIHOOD ESTIMATES; SQUARED ERROR LOSS FUNCTION;

PARAMETER ESTIMATION;

EID: 9944254242     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-200031447     Document Type: Article

References (20)

1. Ahmad, K. E., Fakhry, M. E., Jaheen, Z. F. (1997). Empirical Bayes estimation of P(Y < X) and characterizations of Burr-type X model. J. Statist. Plan. Infer. 64:297-308.
2. AL-Hussiani, E. K., Jaheen, Z. F. (1992). Bayesian estimation of the parameters, reliability and failure rate functions of the Burr type XII failure model. J. Statist. Comput. Simul. 41:31-40.
3. Al-Hussiani, E. K., Jaheen, Z. F. (1994). Approximate Bayes estimator applied to the Burr model. Commun. Statist. Theory Meth. 23(1):99-121.
4. Basu, A. P., Ebrahimi, N. (1991). Bayesian approach to life testing and reliability estimation using asymmetric loss function. J. Stat. Plan. Infer. 29:21-31.
5. Calabria, R., Pulcini, G. (1996). Point estimation under asymmetric loss functions for left-truncated exponential samples. Commun. Statist. Theory Meth. 25(3):585-600.
6. Canfield, R. V. (1970). A Bayesian approach to reliability estimation using a loss function. IEEE Trans. Reliability R-19:13-16.
7. Howlader, H. A., Weiss, G. (1989). Bayesian estimators of the reliability of the logistic distribution. Commun. Statist. Theory Meth. 18(1):245-259.
8. Lindely, D. V. (1980). Approximate Bayesian method. Trabajos de Estadistica, 31:223-237.
9. Mudholkar, G. S., Srivastava, D. K. (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Trans. Reliability R-42(2):299-302.
10. Mudholkar, G. S., Srivastava, D. K., Freimer, M. (1995). The exponentiated Weibull family: A reanalysis of the bus-motor-failure data. Technometrics 37(4):436-445.
11. Nassar, M. M., Eissa, F. H. (2003). On the exponentiated Weibull distribution. Commun. Statist. Theory Meth. 32(7).
12. Pandey, B. N. (1997). Estimator of the scale parameter of the exponential distribution using LINEX loss function. Commun. Statist. Theory Meth. 26(9):2191-2202.
13. Pandey, B. N., 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.
14. Pandey, B. N., Singh, B. P., Mishra, C. S. (1996). Bayes estimation of shape parameter of classical Pareto distribution under LINEX loss function. Commun. Statist. Theory Meth. 25(12):3125-3145.
15. Rojo, J. (1987). On the admissibility of cx + d with respect to the LINEX loss function. Commun. Statist. Theory Meth. 16:3745-3748.
16. Sinha, S. K., Sloan, J. A. (1988). Bayes estimation of the parameters and rgeliability function of the 3-parameter Weibull distribution. IEEE Trans. Reliability R-37:364-369.
17. Soliman, A. A. (2000). Comparison of LINEX and quadratic Bayes estimators for the Rayleigh distribution. Commun. Statist. Theory Meth. 29(1):95-107.
18. Soliman, A. A. (2001). LINEX and quadratic approximate Bayes estimators applied to the Pareto model. Commun. Statist. Simulat. Comput. 30(1):63-77.
19. Varian, H. R. A Bayesian Approach to Real Estate Assessment. Amsterdam: North Holland, pp. 195-208.
20. Zellner, A. (1986). Bayesian estimation and prediction using asymetric loss functions. JASA 81:446-451.