The beta exponential distribution

Reliability Engineering and System Safety

Volumn 91, Issue 6, 2006, Pages 689-697

  Nadarajah, Saralees ^a   Kotz, Samuel ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b George Washington University   (United States)

Author keywords

Beta exponential distribution; Kurtosis; R nyi entropy

Indexed keywords

COMPUTER SIMULATION; ENTROPY; MAXIMUM LIKELIHOOD ESTIMATION; METHOD OF MOMENTS; PROBLEM SOLVING; RANDOM PROCESSES; RELIABILITY;

BETA EXPONENTIAL DISTRIBUTION; KURTOSIS; RANDOM VARIABLES;

STATISTICAL METHODS;

EID: 33644887149     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2005.05.008     Document Type: Article

References (23)

1. M.C. Jones Families of distributions arising from distributions of order statistics Test 13 2004 1 43
2. N. Eugene, C. Lee, and F. Famoye Beta-normal distribution and its applications Commun Statist - Theory Methods 31 2002 497 512
3. A.K. Gupta, and S. Nadarajah On the moments of the beta normal distribution Commun Statist - Theory Methods 33 2004 1 13
4. S. Nadarajah, and S. Kotz The beta Gumbel distribution Math Probab Eng 10 2004 323 332
5. B.W. Brown, F.M. Spears, and L.B. Levy The log F: a distribution for all seasons Comput Statist 17 2002 47 58
6. R.C. Gupta, P.L. Gupta, and R.D. Gupta Modeling failure time data by Lehman alternatives Commun Statist - Theory Methods 27 1998 887 904
7. R.D. Gupta, and D. Kundu Generalized exponential distributions Aust NZ J Statist 41 1999 173 188
8. R.D. Gupta, and D. Kundu Exponentiated exponential family: an alternative to gamma and Weibull distributions Biometrical J 43 2001 117 130
9. R.D. Gupta, and D. Kundu Generalized exponential distribution: different method of estimations J Statist Comput Simulat 69 2001 315 337
10. R.D. Gupta, and D. Kundu Closeness of gamma and generalized exponential distribution Commun Statist - Theory Methods 32 2003 705 721
11. R.D. Gupta, and D. Kundu Discriminating between Weibull and generalized exponential distributions Comput Statist Data Anal 43 2003 179 196
12. S. Kotz, and S. Nadarajah Extreme value distributions: theory and applications 2000 Imperial College Press London
13. A.P. Prudnikov, Y.A. Brychkov, and O.I. Marichev Integrals and series 1986 Gordon and Breach Science Publishers Amsterdam
14. I.S. Gradshteyn, and I.M. Ryzhik Table of integrals, series, and products 6th ed 2000 Academic Press San Diego
15. R.E. Barlow, and F. Proschan Statistical theory of reliability and life testing: probability models 1975 Holt, Rinehart and Winston New York
16. N.L. Johnson, S. Kotz, and N. Balakrishnan 2nd ed Continuous univariate distributions vol. 2 1994 Wiley New York
17. Rényi A. 1961. On measures of entropy and information. In: Proceedings of the fourth Berkeley symposium on mathematical statistics and probability, vol. 1. Berkeley: University of California Press. p. 547-61.
18. K.-S. Song Rényi information, loglikelihood and an intrinsic distribution measure J Statisst Plan Inference 93 2001 51 69
19. M.R. Leadbetter, G. Lindgren, and H. Rootzén Extremes and related properties of random sequences and processes 1987 Springer New York
20. G.S. Mudholkar, D.K. Srivastava, and M. Freimer The exponentiated Weibull family Technometrics 37 1995 436 445
21. G.S. Mudholkar, and A.D. Hutson The exponentiated Weibull family: some properties and a flood data application Commun Statist - Theory Methods 25 1996 3059 3083
22. M.M. Nassar, and F.H. Eissa On the exponentiated Weibull distribution Commun Statist - Theory Methods 32 2003 1317 1336
23. S. Nadarajah, and A.K. Gupta On the moments of the exponentiated Weibull distribution Commun Statist - Theory Methods 34 2005 253 256