메뉴 건너뛰기




Volumn 8, Issue 5, 2011, Pages 411-433

The Kumaraswamy generalized gamma distribution with application in survival analysis

Author keywords

Censored data; Data analysis; Generalized gamma distribution; Maximum likelihood estimation; Moment; Order statistic

Indexed keywords


EID: 79959851639     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2011.04.001     Document Type: Article
Times cited : (97)

References (48)
  • 2
    • 79959842184 scopus 로고    scopus 로고
    • Lauricella functions, From MathWorld-A Wolfram Web Resource, created by Eric W. Weisstein.
    • R.M. Aarts, 2000, Lauricella functions, From MathWorld-A Wolfram Web Resource, created by Eric W. Weisstein. http://www.mathworld.wolfram.com/LauricellaFunctions.html.
    • (2000)
    • Aarts, R.M.1
  • 4
    • 35348882681 scopus 로고    scopus 로고
    • Phonemic segmentation using the generalized gamma distribution and small sample Bayesian information criterion
    • Almpanidis G., Kotropoulos C. Phonemic segmentation using the generalized gamma distribution and small sample Bayesian information criterion. Speech Communication 2008, 50:38-55.
    • (2008) Speech Communication , vol.50 , pp. 38-55
    • Almpanidis, G.1    Kotropoulos, C.2
  • 6
    • 27744606239 scopus 로고    scopus 로고
    • Reliability characteristics of the Maxwell distribution: a Bayes estimation study
    • Bekker A., Roux J.J. Reliability characteristics of the Maxwell distribution: a Bayes estimation study. Communications in Statistics-Theory and Methods 2005, 34:2169-2178.
    • (2005) Communications in Statistics-Theory and Methods , vol.34 , pp. 2169-2178
    • Bekker, A.1    Roux, J.J.2
  • 8
    • 40149105261 scopus 로고    scopus 로고
    • A generalization of the half-normal distribution with applications to lifetime data
    • Cooray K., Ananda M.M.A. A generalization of the half-normal distribution with applications to lifetime data. Communications in Statistics-Theory and Methods 2008, 37:1323-1337.
    • (2008) Communications in Statistics-Theory and Methods , vol.37 , pp. 1323-1337
    • Cooray, K.1    Ananda, M.M.A.2
  • 12
    • 50849139881 scopus 로고    scopus 로고
    • The generalized F distribution: an umbrella for parametric survival analysis
    • Cox C. The generalized F distribution: an umbrella for parametric survival analysis. Statistics in Medicine 2008, 27:4301-4312.
    • (2008) Statistics in Medicine , vol.27 , pp. 4301-4312
    • Cox, C.1
  • 13
    • 34548775222 scopus 로고    scopus 로고
    • Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution
    • Cox C., Chu H., Schneider M.F., Muñoz A. Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Statistics in Medicine 2007, 26:4352-4374.
    • (2007) Statistics in Medicine , vol.26 , pp. 4352-4374
    • Cox, C.1    Chu, H.2    Schneider, M.F.3    Muñoz, A.4
  • 17
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences (with discussion)
    • Gelman A., Rubin D.B. Inference from iterative simulation using multiple sequences (with discussion). Statistical Science 1992, 7:457-472.
    • (1992) Statistical Science , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 21
    • 0035579732 scopus 로고    scopus 로고
    • Exponentiated exponential distribution: an alternative to gamma and Weibull distributions
    • Gupta R.D., Kundu D. Exponentiated exponential distribution: an alternative to gamma and Weibull distributions. Biometrical Journal 2001, 43:117-130.
    • (2001) Biometrical Journal , vol.43 , pp. 117-130
    • Gupta, R.D.1    Kundu, D.2
  • 23
    • 56949086444 scopus 로고    scopus 로고
    • Kumaraswamy's distribution: a beta-type distribution with some tractability advantages
    • Jones M.C. Kumaraswamy's distribution: a beta-type distribution with some tractability advantages. Statistical Methodology 2009, 6:70-81.
    • (2009) Statistical Methodology , vol.6 , pp. 70-81
    • Jones, M.C.1
  • 24
    • 0018911706 scopus 로고
    • A generalized probability density function for double-bounded random processes
    • Kumaraswamy P. A generalized probability density function for double-bounded random processes. Journal of Hydrology 1980, 46:79-88.
    • (1980) Journal of Hydrology , vol.46 , pp. 79-88
    • Kumaraswamy, P.1
  • 25
    • 13644270921 scopus 로고    scopus 로고
    • Generalized Rayleigh distribution: different methods of estimation
    • Kundu D., Raqab M.Z. Generalized Rayleigh distribution: different methods of estimation. Computational Statistics and Data Analysis 2005, 49:187-200.
    • (2005) Computational Statistics and Data Analysis , vol.49 , pp. 187-200
    • Kundu, D.1    Raqab, M.Z.2
  • 26
    • 0019048114 scopus 로고
    • Inference in the generalized gamma and log-gamma distributions
    • Lawless J.F. Inference in the generalized gamma and log-gamma distributions. Technometrics 1980, 22:409-419.
    • (1980) Technometrics , vol.22 , pp. 409-419
    • Lawless, J.F.1
  • 28
    • 60849107275 scopus 로고    scopus 로고
    • On the performance analysis of wireless receiver using generalized-gamma fading model
    • Malhotra J., Sharma A.K., Kaler R.S. On the performance analysis of wireless receiver using generalized-gamma fading model. Annals of Telecommunications 2009, 64:147-153.
    • (2009) Annals of Telecommunications , vol.64 , pp. 147-153
    • Malhotra, J.1    Sharma, A.K.2    Kaler, R.S.3
  • 29
    • 0027608675 scopus 로고
    • Exponentiated Weibull family for analyzing bathtub failure-real data
    • Mudholkar G.S., Srivastava D.K. Exponentiated Weibull family for analyzing bathtub failure-real data. IEEE Transaction on Reliability 1993, 42:299-302.
    • (1993) IEEE Transaction on Reliability , vol.42 , pp. 299-302
    • Mudholkar, G.S.1    Srivastava, D.K.2
  • 30
    • 0029404196 scopus 로고
    • The exponentiated Weibull family: a reanalysis of the bus-motor-failure data
    • Mudholkar G.S., Srivastava D.K., Freimer M. The exponentiated Weibull family: a reanalysis of the bus-motor-failure data. Technometrics 1995, 37:436-445.
    • (1995) Technometrics , vol.37 , pp. 436-445
    • Mudholkar, G.S.1    Srivastava, D.K.2    Freimer, M.3
  • 31
  • 32
    • 54049142961 scopus 로고    scopus 로고
    • On the use of the generalised gamma distribution
    • Nadarajah S. On the use of the generalised gamma distribution. International Journal of Electronics 2008, 95:1029-1032.
    • (2008) International Journal of Electronics , vol.95 , pp. 1029-1032
    • Nadarajah, S.1
  • 33
    • 37349005230 scopus 로고    scopus 로고
    • Explicit expressions for moments of order statistics
    • Nadarajah S. Explicit expressions for moments of order statistics. Statistics and Probability Letters 2008, 78:196-205.
    • (2008) Statistics and Probability Letters , vol.78 , pp. 196-205
    • Nadarajah, S.1
  • 36
    • 58549099462 scopus 로고    scopus 로고
    • Generalized log-gamma regression models with cure fraction
    • Ortega E.M.M., Cancho V.G., Paula G.A. Generalized log-gamma regression models with cure fraction. Lifetime Data Analysis 2009, 15:79-106.
    • (2009) Lifetime Data Analysis , vol.15 , pp. 79-106
    • Ortega, E.M.M.1    Cancho, V.G.2    Paula, G.A.3
  • 38
    • 79959838131 scopus 로고    scopus 로고
    • Modelos de Riscos Aplicados á Análise de Sobrevivência. Doctoral Thesis, Institute of Computer Science and Mathematics, University of São Paulo, Brasil (in Portuguese)
    • G.S.C. Perdoná, Modelos de Riscos Aplicados á Análise de Sobrevivência. Doctoral Thesis, Institute of Computer Science and Mathematics, University of São Paulo, Brasil (in Portuguese), 2006.
    • (2006)
    • Perdoná, G.S.C.1
  • 42
    • 79959834916 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
  • 43
    • 0000695717 scopus 로고
    • A generalization of the gamma distribution
    • Stacy E.W. A generalization of the gamma distribution. Annals of Mathematical Statistics 1962, 33:1187-1192.
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 1187-1192
    • Stacy, E.W.1
  • 44
    • 0000388609 scopus 로고
    • Parameter estimation for a generalized gamma distribution
    • Stacy E.W., Mihram G.A. Parameter estimation for a generalized gamma distribution. Technometris 1965, 7:349-358.
    • (1965) Technometris , vol.7 , pp. 349-358
    • Stacy, E.W.1    Mihram, G.A.2
  • 46
    • 0030122796 scopus 로고
    • Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function
    • Xie M., Lai C.D. Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function. Reliability Engineering & System Safety 1995, 52:87-93.
    • (1995) Reliability Engineering & System Safety , vol.52 , pp. 87-93
    • Xie, M.1    Lai, C.D.2
  • 47
    • 72049115262 scopus 로고    scopus 로고
    • Analytical three-moment autoconversion parameterization based on generalized gamma distribution
    • Xie X., Liu X. Analytical three-moment autoconversion parameterization based on generalized gamma distribution. Journal of Geophysical Research 2009, 114:D17201. 10.1029/2008JD011633.
    • (2009) Journal of Geophysical Research , vol.114
    • Xie, X.1    Liu, X.2
  • 48
    • 0036604308 scopus 로고    scopus 로고
    • A modified Weibull extension with bathtub failure rate function
    • Xie M., Tang Y., Goh T.N. A modified Weibull extension with bathtub failure rate function. Reliability Engineering & System Safety 2002, 76:279-285.
    • (2002) Reliability Engineering & System Safety , vol.76 , pp. 279-285
    • Xie, M.1    Tang, Y.2    Goh, T.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.