The beta modified Weibull distribution

Lifetime Data Analysis

Volumn 16, Issue 3, 2010, Pages 409-430

  Silva, Giovana O ^a   Ortega, Edwin M M ^a   Cordeiro, Gauss M ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSIDADE FEDERAL RURAL DE PERNAMBUCO   (Brazil)

Author keywords

Beta distribution; Exponentiated exponential; Exponentiated Weibull; Generalized modified Weibull; Maximum likelihood; Modified Weibull; Observed information matrix; Weibull distribution

Indexed keywords

ARTICLE; BIOMETRY; HUMAN; MATHEMATICAL COMPUTING; METHODOLOGY; STATISTICAL DISTRIBUTION; STATISTICAL MODEL; SURVIVAL;

BIOMETRY; HUMANS; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; STATISTICAL DISTRIBUTIONS; SURVIVAL ANALYSIS;

EID: 77953502535     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-010-9161-1     Document Type: Article

References (32)

1. Aarset MV (1987) How to identify bathtub hazard rate. IEEE Trans Reliab 36: 106-108.
2. Barakat HM, Abdelkader YH (2004) Computing the moments of order statistics from nonidentical random variables. Stat Methods Appl 13: 15-26.
3. Bebbington M, Lai CD, Zitikis R (2007) A flexible Weibull extension. Reliab Eng Syst Saf 92: 719-726.
4. Brown BW, Floyd MS, Levy LB (2002) The log F: a distribution for all seasons. Comput Stat 17: 47-58.
5. Carrasco JMF, Ortega EMM, Cordeiro GM (2008) A generalized modified Weibull distribution for lifetime modeling. Comput Stat Data Anal 53: 450-462.
6. Cox C (2008) The generalized F distribution: an umbrella for parametric survival analysis. Stat Med 27: 4301-4312.
7. Cox C, Chu H, Schneider MF, Mũoz A (2007) Tutorial in biostatistics: parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Stat Med 26: 4352-4374.
8. Doornik J (2007) Ox 5: object-oriented matrix programming language, 5th ed. Timberlake Consultants, London.
9. Eugene N, Lee C, Famoye F (2002) Beta-normal distribution and its applications. Commun Stat Theory Methods 31: 497-512.
10. Gradshteyn IS, Ryzhik IM (2000) Table of integrals, series, and products. Academic Press, New York.
11. Gupta RD, Kundu D (1999) Generalized exponential distributions. Aust NZ J Stat 41: 173-188.
12. Gupta RD, Kundu D (2001) Exponentiated exponential distribution: an alternative to gamma and Weibull distributions. Biomet J 43: 117-130.
13. Gupta AK, Nadarajah S (2004) Handbook of beta distribution and its applications. Marcel Dekker, New York.
14. Haupt E, Schabe H (1992) A new model for a lifetime distribution with bathtub shaped failure rate. Microelectron Reliab 32: 633-639.
15. Hosking JRM (1986) The theory of probability weighted moments. Research Report RC12210, IBM Thomas J. Watson Research Center, New York.
16. Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Ser B 52: 105-124.
17. Jones MC (2004) Family of distributions arising from distribution of order statistics. Test 13: 1-43.
18. Kundu D, Rakab MZ (2005) Generalized Rayleigh distribution: different methods of estimation. Comput Stat Data Anal 49: 187-200.
19. Lai CD, Xie M, Murthy DNP (2003) A modified Weibull distribution. Trans Reliab 52: 33-37.
20. Lee C, Famoye F, Olumolade O (2007) Beta-Weibull distribution: some properties and applications to censored data. J Mod Appl Stat Methods 6: 173-186.
21. Mudholkar GS, Srivastava DK (1993) Exponentiated Weibull family for analyzing bathtub failure-real data. IEEE Trans Reliab 42: 299-302.
22. Mudholkar GS, Srivastava DK, Friemer M (1995) The exponentiated Weibull family: a reanalysis of the bus-motor-failure data. Technometrics 37: 436-445.
23. Mudholkar GS, Srivastava DK, Kollia GD (1996) A generalization of the Weibull distribution with application to the analysis of survival data. J Am Stat Assoc 91: 1575-1583.
24. Nadarajah S, Gupta AK (2004) The beta Fréchet distribution. Far East J Theor Stat 14: 15-24.
25. Nadarajah S, Kotz S (2004) The beta Gumbel distribution. Math Prob Eng 10: 323-332.
26. Nadarajah S, Kotz S (2006) The beta exponential distribution. Reliab Eng Syst Saf 91: 689-697.
27. Nelson W (1990) Accelerated life testing: statistical models, data analysis and test plans. Wiley, New York.
28. Pham H, Lai CD (2007) On recent generalizations of the Weibull distribution. IEEE Trans Reliab 56: 454-458.
29. Rajarshi S, Rajarshi MB (1988) Bathtub distributions: a review. Commun Stat Theory Methods 17: 2521-2597.
30. Wang FK (2000) A new model with bathtub-shaped failure rate using an additive Burr XII distribution. Reliab Eng Syst Saf 70: 305-312.
31. Xie M, Lai CD (1995) Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function. Reliab Eng Syst Saf 52: 87-93.
32. Xie M, Tang Y, Goh TN (2002) A modified Weibull extension with bathtub failure rate function. Reliab Eng Syst Saf 76: 279-285.