메뉴 건너뛰기




Volumn 83, Issue 11, 2013, Pages 2117-2143

The Kumaraswamy Burr XII distribution: theory and practice

Author keywords

Burr XII distribution; Kumaraswamy distribution; maximum likelihood; observed information matrix; order statistic; Weibull distribution

Indexed keywords


EID: 84876719599     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949655.2012.683003     Document Type: Article
Times cited : (75)

References (35)
  • 1
    • 0032188630 scopus 로고    scopus 로고
    • The Burr XII distribution in reliability analysis
    • W.J. Zimmer, J.B. Keats, and F.K. Wang, The Burr XII distribution in reliability analysis, J. Qual. Technol. 30 (1998), pp. 386-394.
    • (1998) J. Qual. Technol , vol.30 , pp. 386-394
    • Zimmer, W.J.1    Keats, J.B.2    Wang, F.K.3
  • 2
    • 1842680802 scopus 로고    scopus 로고
    • Notes on maximum likelihood estimation for the three-parameter Burr XII distribution
    • Q. Shao, Notes on maximum likelihood estimation for the three-parameter Burr XII distribution, Comput. Stat. Data Anal. 45 (2004), pp. 675-687. doi: 10.1016/S0167-9473(02)00367-5
    • (2004) Comput. Stat. Data Anal , vol.45 , pp. 675-687
    • Shao, Q.1
  • 3
    • 3342927125 scopus 로고    scopus 로고
    • Models for extremes using the extended three parameter Burr XII system with application to flood frequency analysis
    • Q. Shao, H. Wong, and J. Xia, Models for extremes using the extended three parameter Burr XII system with application to flood frequency analysis, Hydrolog. Sci. J. des Sci. Hydrolog. 49 (2004), pp. 685-702.
    • (2004) Hydrolog. Sci. J. des Sci. Hydrolog , vol.49 , pp. 685-702
    • Shao, Q.1    Wong, H.2    Xia, J.3
  • 4
    • 15544370511 scopus 로고    scopus 로고
    • Estimation of parameters of life from progressively censored data using Burr-XII Model
    • A.A. Soliman, Estimation of parameters of life from progressively censored data using Burr-XII Model, IEEE Trans. Reliab. 54 (2005), pp. 34-42. doi: 10.1109/TR.2004.842528
    • (2005) IEEE Trans. Reliab , vol.54 , pp. 34-42
    • Soliman, A.A.1
  • 5
    • 33751586108 scopus 로고    scopus 로고
    • Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution
    • S.J. Wu, Y.J. Chen, and C.T. Chang, Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution, J. Stat. Comput. Simul. 77 (2007), pp. 19-27. doi: 10.1080/10629360600569204
    • (2007) J. Stat. Comput. Simul , vol.77 , pp. 19-27
    • Wu, S.J.1    Chen, Y.J.2    Chang, C.T.3
  • 7
    • 0018911706 scopus 로고
    • A generalized probability density function for double-bounded random processes
    • P. Kumaraswamy, A generalized probability density function for double-bounded random processes, J. Hydrol. 46 (1980), 79-88. doi: 10.1016/0022-1694(80)90036-0
    • (1980) J. Hydrol , vol.46 , pp. 79-88
    • Kumaraswamy, P.1
  • 8
    • 56949086444 scopus 로고    scopus 로고
    • Kumaraswamy's distribution: A beta-type distribution with some tractability advantages
    • M.C. Jones, Kumaraswamy's distribution: A beta-type distribution with some tractability advantages, Stat. Meth. 6 (2009), pp. 70-91. doi: 10.1016/j.stamet.2008.04.001
    • (2009) Stat. Meth , vol.6 , pp. 70-91
    • Jones, M.C.1
  • 9
    • 79959296374 scopus 로고    scopus 로고
    • A new family of generalized distributions
    • G.M. Cordeiro and M. de Castro, A new family of generalized distributions, J. Stat. Comput. Simul. 81 (2011), pp. 883-898. doi: 10.1080/00949650903530745
    • (2011) J. Stat. Comput. Simul , vol.81 , pp. 883-898
    • Cordeiro, G.M.1    de Castro, M.2
  • 10
    • 0029404196 scopus 로고
    • The exponentiated Weibull family: A reanalysis of the bus-motor-failure data
    • G.S. Mudholkar, D.K. Srivastava, and M. Friemer, The exponentiated Weibull family: A reanalysis of the bus-motor-failure data, Technometrics 37 (1995), pp. 436-445. doi: 10.1080/00401706.1995.10484376
    • (1995) Technometrics , vol.37 , pp. 436-445
    • Mudholkar, G.S.1    Srivastava, D.K.2    Friemer, M.3
  • 11
    • 0041856459 scopus 로고    scopus 로고
    • A generalization of the Weibull distribution with application to the analysis of survival data
    • G.S. Mudholkar, D.K. Srivastava, and G.D. Kollia, A generalization of the Weibull distribution with application to the analysis of survival data, J. Am. Stat. Assoc. 91 (1996), pp. 1575-1583. doi: 10.1080/01621459.1996.10476725
    • (1996) J. Am. Stat. Assoc , vol.91 , pp. 1575-1583
    • Mudholkar, G.S.1    Srivastava, D.K.2    Kollia, G.D.3
  • 12
    • 0030122796 scopus 로고
    • Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function
    • M. Xie and C.D. Lai, Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function, Reliab. Eng. Syst. Saf. 52 (1995), pp. 87-93. doi: 10.1016/0951-8320(95)00149-2
    • (1995) Reliab. Eng. Syst. Saf , vol.52 , pp. 87-93
    • Xie, M.1    Lai, C.D.2
  • 13
    • 0036604308 scopus 로고    scopus 로고
    • A modified Weibull extension with bathtub failure rate function
    • M. Xie, Y. Tang, and T.N. Goh, A modified Weibull extension with bathtub failure rate function, Reliab. Eng. Syst. Saf. 76 (2002), pp. 279-285. doi: 10.1016/S0951-8320(02)00022-4
    • (2002) Reliab. Eng. Syst. Saf , vol.76 , pp. 279-285
    • Xie, M.1    Tang, Y.2    Goh, T.N.3
  • 14
    • 0037334196 scopus 로고    scopus 로고
    • A modified Weibull distribution
    • C.D. Lai, M. Xie, and D.N.P. Murthy, A modified Weibull distribution, Trans. Reliab. 52 (2003), pp. 33-37. doi: 10.1109/TR.2002.805788
    • (2003) Trans. Reliab , vol.52 , pp. 33-37
    • Lai, C.D.1    Xie, M.2    Murthy, D.N.P.3
  • 15
    • 33644887149 scopus 로고    scopus 로고
    • The beta exponential distribution
    • S. Nadarajah and S. Kotz, The beta exponential distribution, Reliab. Eng. Syst. Saf. 91 (2005), pp. 689-697. doi: 10.1016/j.ress.2005.05.008
    • (2005) Reliab. Eng. Syst. Saf , vol.91 , pp. 689-697
    • Nadarajah, S.1    Kotz, S.2
  • 16
    • 48249096343 scopus 로고    scopus 로고
    • Beta-Weibull distribution: Some properties and applications to censored data
    • C. Lee, F. Famoye, and O. Olumolade, Beta-Weibull distribution: Some properties and applications to censored data, J. Mod. Appl. Stat. Meth. 6 (2007), pp. 173-186.
    • (2007) J. Mod. Appl. Stat. Meth , vol.6 , pp. 173-186
    • Lee, C.1    Famoye, F.2    Olumolade, O.3
  • 17
  • 18
    • 55549101907 scopus 로고    scopus 로고
    • A generalized modified Weibull distribution for lifetime modeling
    • J.M.F. Carrasco, E.M.M. Ortega, and G.M. Cordeiro, A generalized modified Weibull distribution for lifetime modeling, Comput. Stat. Data Anal. 53 (2008), pp. 450-462. doi: 10.1016/j.csda.2008.08.023
    • (2008) Comput. Stat. Data Anal , vol.53 , pp. 450-462
    • Carrasco, J.M.F.1    Ortega, E.M.M.2    Cordeiro, G.M.3
  • 19
    • 79960618348 scopus 로고    scopus 로고
    • The generalized inverse Weibull distribution
    • F.R.S. Gusmão, E.M.M. Ortega, and G.M. Cordeiro, The generalized inverse Weibull distribution, Stat. Pap. 52 (2011), 591-619. doi: 10.1007/s00362-009-0271-3
    • (2011) Stat. Pap , vol.52 , pp. 591-619
    • Gusmão, F.R.S.1    Ortega, E.M.M.2    Cordeiro, G.M.3
  • 20
    • 0000310360 scopus 로고
    • L-moments: Analysis and estimation of distributions using linear combinations of order statistics
    • J.R.M. Hosking, L-moments: Analysis and estimation of distributions using linear combinations of order statistics, J. R. Stat. Soc. B 52 (1990), pp. 105-124.
    • (1990) J. R. Stat. Soc. B , vol.52 , pp. 105-124
    • Hosking, J.R.M.1
  • 21
    • 0003498504 scopus 로고    scopus 로고
    • Table of Integrals, Series and Products
    • 6th ed.,: Academic Press, San Diego, San Diego
    • I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, 6th ed., Academic Press, San Diego, 2000.
    • (2000)
    • Gradshteyn, I.S.1    Ryzhik, I.M.2
  • 22
    • 0004184360 scopus 로고
    • Integrals and Series
    • Gordon and Breach Science Publishers, Amsterdam, Amsterdam
    • A.P. Prudnikov, Y.A. Brychkov, and O.I. Marichev, Integrals and Series, Vol. 1, Gordon and Breach Science Publishers, Amsterdam, 1986.
    • (1986) , vol.1
    • Prudnikov, A.P.1    Brychkov, Y.A.2    Marichev, O.I.3
  • 23
    • 0004184360 scopus 로고
    • Integrals and Series
    • Gordon and Breach Science Publishers, Amsterdam, Amsterdam
    • A.P. Prudnikov, Y.A. Brychkov, and O.I. Marichev, Integrals and Series, Vol. 4, Gordon and Breach Science Publishers, Amsterdam, 1992.
    • (1992) , vol.4
    • Prudnikov, A.P.1    Brychkov, Y.A.2    Marichev, O.I.3
  • 24
    • 84879176948 scopus 로고    scopus 로고
    • Computing the moments of order statistics from nonidentical random variables
    • H.M. Barakat and Y.H. Abdelkader, Computing the moments of order statistics from nonidentical random variables, Stat. Meth. Appl. 13 (2004), pp. 15-26.
    • (2004) Stat. Meth. Appl , vol.13 , pp. 15-26
    • Barakat, H.M.1    Abdelkader, Y.H.2
  • 26
    • 0023532708 scopus 로고
    • A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution
    • R.L. Smith and J.C. Naylor, A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution, Appl. Stat. 36 (1987), pp. 358-369. doi: 10.2307/2347795
    • (1987) Appl. Stat , vol.36 , pp. 358-369
    • Smith, R.L.1    Naylor, J.C.2
  • 27
    • 78649324031 scopus 로고    scopus 로고
    • The β-Birnbaum Saunders distribution: An improved distribution for fatigue life modeling
    • G.M. Cordeiro and A.J. Lemonte, The β-Birnbaum Saunders distribution: An improved distribution for fatigue life modeling, Comput. Stat. Data Anal. 55 (2011), pp. 1445-1461. doi: 10.1016/j.csda.2010.10.007
    • (2011) Comput. Stat. Data Anal , vol.55 , pp. 1445-1461
    • Cordeiro, G.M.1    Lemonte, A.J.2
  • 29
    • 40149105261 scopus 로고    scopus 로고
    • A generalization of the half-normal distribution with applications to lifetime data
    • K. Cooray and M.M.A. Ananda, A generalization of the half-normal distribution with applications to lifetime data, Commun. Stat. Theory Meth. 37 (2008), pp. 1323-1337. doi: 10.1080/03610920701826088
    • (2008) Commun. Stat. Theory Meth , vol.37 , pp. 1323-1337
    • Cooray, K.1    Ananda, M.M.A.2
  • 30
    • 77950919278 scopus 로고    scopus 로고
    • Estudo evolutivo das crianças expostas ao HIV e notificadas pelo núcleo de vigilância epidemiológica do HCFMRP-USP
    • M.Sc. thesis,: University of São Paulo, Brazil
    • A.N.F. Silva, Estudo evolutivo das crianças expostas ao HIV e notificadas pelo núcleo de vigilância epidemiológica do HCFMRP-USP, M.Sc. thesis, University of São Paulo, Brazil, 2004.
    • (2004)
    • Silva, A.N.F.1
  • 31
    • 77958077805 scopus 로고    scopus 로고
    • Modelos de riscos aplicados à análise de sobrevivência
    • Doctoral thesis,: Institute of Computer Science and Mathematics, University of São Paulo, Brazil
    • G.S.C. Perdoná, Modelos de riscos aplicados à análise de sobrevivência, Doctoral thesis, Institute of Computer Science and Mathematics, University of São Paulo, Brazil, 2006.
    • (2006)
    • Perdoná, G.S.C.1
  • 33
    • 77956394558 scopus 로고    scopus 로고
    • The Kumaraswamy Weibull distribution with application to failure data
    • G.M. Cordeiro, E.M.M. Ortega, and S. Nadarajah, The Kumaraswamy Weibull distribution with application to failure data, J. Franklin Inst. 347 (2010), pp. 1399-1429. doi: 10.1016/j.jfranklin.2010.06.010
    • (2010) J. Franklin Inst , vol.347 , pp. 1399-1429
    • Cordeiro, G.M.1    Ortega, E.M.M.2    Nadarajah, S.3
  • 34
    • 0030539336 scopus 로고    scopus 로고
    • Markov chain Monte Carlo convergence diagnostics: A comparative review
    • M.K. Cowles and B.P. Carlin, Markov chain Monte Carlo convergence diagnostics: A comparative review, J. Am. Stat. Assoc. 91 (1996), pp. 133-169.
    • (1996) J. Am. Stat. Assoc , vol.91 , pp. 133-169
    • Cowles, M.K.1    Carlin, B.P.2
  • 35
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences (with discussion)
    • A. Gelman and D.B. Rubin, Inference from iterative simulation using multiple sequences (with discussion), Stat. Sci. 7 (1992), pp. 457-472. doi: 10.1214/ss/1177011136
    • (1992) Stat. Sci. , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.