An F 1 Beta Distribution with Bathtub Failure Rate Function

American Journal of Mathematical and Management Sciences

Volumn 26, Issue 1-2, 2006, Pages 113-131

  Nadarajah, Saralees ^a   Katz, Samuel ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b The George Washington University   (United States)

Author keywords

Bathtub shaped failure rate function; F1 beta distribution; Standard beta distribution

Indexed keywords

ASYMPTOTIC DISTRIBUTION; BATHTUB SHAPED FAILURE RATE FUNCTION; FISHER INFORMATION MATRIX; STANDARD BETA DISTRIBUTION;

FUNCTIONS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; NUMERICAL METHODS; STATISTICAL METHODS;

PROBABILITY DISTRIBUTIONS;

EID: 33747591679     PISSN: 01966324     EISSN: None     Source Type: Journal    
DOI: 10.1080/01966324.2006.10737663     Document Type: Article

References (15)

1. Armero, C. and Bayarri, M. J. (1994). Prior assessments for prediction in queues. The Statistician,43, 139-153.
2. Dennis, J. E. and Schnabel, R. B. (1983). Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall, Englewood Cliffs, New Jersey.
3. Gradshteyn, I. S. and Ryzhik, I. M. (2000). Table of Integrals. Series, and Products (sixth edition). Academic Press. San Diego.
4. Gupta, A. K. and Nadarajah, S. (2004). Handbook of Beta Distribution and Its Applications.Marcel Dekker, New York.
5. Gordy, M. B. (1988). Computationally convenient distributional assumptions for common-value auctions. Computational Economics,12, 61-78.
6. Ihaka, R. and Gentleman, R. (1996). R: A language for data analysis and graphics, Journal of Computational and Graphical Statistics,5, 299-314.
7. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1995). Continuous Univariate Distributions. volume 2(second edition). John Wiley and Sons, New York.
8. Karian, Z. A. and Dudewicz, E. J. (2000). Fitting Statistical Distributions. The Generalized Lambda Distribution and Generalized Bootstrap Methods.CRC Press, Boca Raton, Florida.
9. Leadbetter, M. R., Lindgren, G. and Rootzen, H. (1987). Extremes and Related Properties of Random Sequences and Processes.Springer Verlag, New York.
10. Libby, D. L. and Novick, M. R. (1982). Multivariate generalized beta-distributions with applications to utility assessment. Journal of Educational Statistics, 7,271-294.
11. McDonald, J. B. and Richards, D. O. (1987a). Model selection: some generalized distributions. Communications in Statistics (volume A),16, 1049-1074.
12. McDonald, J. B. and Richards, D. O. (1987b). Some generalized models with application to reliability. Journal of Statistical Planning and Inference,16, 365-376.
13. McDonald, J. B. and Xu, Y. J. (1995). A generalization of the beta distribution with applications. Journal of Econometrics,66, 133-152.
14. Prudnikov, A. P., Brychkov, Y. A. and Marichev, O. I. (1986). Integrals and Series(volumes 1, 2 and 3). Gordon and Breach Science Publishers, Amsterdam.
15. Renyi, A. (1961). On measures of entropy and information. In Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, pp. 547-561. University of California Press, Berkeley.