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Volumn 54, Issue 1-3, 2000, Pages 81-97

Maximum likelihood parameter estimation by model augmentation with applications to the extended four-parameter generalized gamma distribution

Author keywords

Continuation method; Extended gamma distribution; Extreme value distribution; Generalized extreme value distribution; Maximum likelihood estimation; Model augmentation; Weibull distribution

Indexed keywords


EID: 0141911087     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(00)00201-9     Document Type: Article
Times cited : (20)

References (31)
  • 2
    • 0000065162 scopus 로고
    • The statistical analysis of variance-heterogeneity and the logarithmic transformation
    • M.S. Bartlett, D.G. Kendall, The statistical analysis of variance-heterogeneity and the logarithmic transformation, J. R. Stat. Soc. 8 (Suppl.) (1946) 128-138.
    • (1946) J. R. Stat. Soc. , vol.8 , Issue.SUPPL. , pp. 128-138
    • Bartlett, M.S.1    Kendall, D.G.2
  • 3
    • 0000516207 scopus 로고
    • Embedded models in three-parameter distributions and their estimation
    • R.C.H. Cheng, T.C. Iles, Embedded models in three-parameter distributions and their estimation, J. R. Stat. Soc., Ser. B 52 (1990) 135-149.
    • (1990) J. R. Stat. Soc., Ser. B , vol.52 , pp. 135-149
    • Cheng, R.C.H.1    Iles, T.C.2
  • 5
    • 0018466027 scopus 로고
    • Prediction limits and two sample problems with complete or censored Weibull data
    • M. Engelhardt, L.J. Bain, Prediction limits and two sample problems with complete or censored Weibull data, Technometrics 21 (1979) 233-237.
    • (1979) Technometrics , vol.21 , pp. 233-237
    • Engelhardt, M.1    Bain, L.J.2
  • 7
    • 0018054877 scopus 로고
    • Root isolation using function values
    • B. Jones, W.G. Waller, A. Feldman, Root isolation using function values, BIT 18 (1978) 311-319.
    • (1978) BIT , vol.18 , pp. 311-319
    • Jones, B.1    Waller, W.G.2    Feldman, A.3
  • 8
    • 84655166182 scopus 로고
    • Inferential procedures for the generalized gamma distribution
    • H.W. Hager, L.J. Bain, Inferential procedures for the generalized gamma distribution, J. Am. Stat. Soc. 65 (1970) 1601-1609.
    • (1970) J. Am. Stat. Soc. , vol.65 , pp. 1601-1609
    • Hager, H.W.1    Bain, L.J.2
  • 9
    • 0005276475 scopus 로고
    • Maximum-likelihood estimation of the parameters of a four-parameter generalized gamma population from complete and censored samples
    • H.L. Harter, Maximum-likelihood estimation of the parameters of a four-parameter generalized gamma population from complete and censored samples, Technometrics 9 (1967) 159-165.
    • (1967) Technometrics , vol.9 , pp. 159-165
    • Harter, H.L.1
  • 10
    • 84919056803 scopus 로고
    • Local-maximum-likelihood estimation of the parameters of three-parameter lognormal populations from complete and censored samples
    • H.L. Harter, A.L. Moore, Local-maximum-likelihood estimation of the parameters of three-parameter lognormal populations from complete and censored samples, J. Am. Stat. Assoc. 61 (1966) 842-851.
    • (1966) J. Am. Stat. Assoc. , vol.61 , pp. 842-851
    • Harter, H.L.1    Moore, A.L.2
  • 11
    • 0010357035 scopus 로고
    • Parameter estimation in the extreme-value distributions using the continuation method
    • H. Hirose, Parameter estimation in the extreme-value distributions using the continuation method, Trans. Information Process. Soc. Jpn. 35 (1994) 1674-1681.
    • (1994) Trans. Information Process. Soc. Jpn. , vol.35 , pp. 1674-1681
    • Hirose, H.1
  • 12
    • 0031550930 scopus 로고    scopus 로고
    • Maximum likelihood estimation in the three-parameter log-normal distribution using the continuation method
    • H. Hirose, Maximum likelihood estimation in the three-parameter log-normal distribution using the continuation method, Comput. Stat. Data Anal. 24 (1997) 139-152.
    • (1997) Comput. Stat. Data Anal. , vol.24 , pp. 139-152
    • Hirose, H.1
  • 13
    • 0032083829 scopus 로고    scopus 로고
    • Parameter estimation for the 3-parameter gamma distribution using the continuation method
    • H. Hirose, Parameter estimation for the 3-parameter gamma distribution using the continuation method, IEEE Transactions on Reliability 47 (1998) 188-196.
    • (1998) IEEE Transactions on Reliability , vol.47 , pp. 188-196
    • Hirose, H.1
  • 14
    • 0031144309 scopus 로고    scopus 로고
    • Inference from grouped data in three-parameter Weibull models with applications to breakdown-voltage experiments
    • H. Hirose, T.L. Lai, Inference from grouped data in three-parameter Weibull models with applications to breakdown-voltage experiments, Technometrics 39 (1997) 199-210.
    • (1997) Technometrics , vol.39 , pp. 199-210
    • Hirose, H.1    Lai, T.L.2
  • 15
    • 0010354903 scopus 로고
    • Estimation of Weibull parameters for BDV data of transformer oil by most likelihood methods
    • Working Group 15-01, Task Force 02
    • Y. Kako, Estimation of Weibull parameters for BDV data of transformer oil by most likelihood methods, in: Conference Internationale des Grands Reseaux Electriques, Working Group 15-01, Task Force 02 (1986).
    • (1986) Conference Internationale des Grands Reseaux Electriques
    • Kako, Y.1
  • 16
    • 84980107527 scopus 로고
    • Estimation of parameters in the three-parameter lognormal distribution
    • J.A. Lambert, Estimation of parameters in the three-parameter lognormal distribution, Aust. J. Stat. 6 (1964) 29-32.
    • (1964) Aust. J. Stat. , vol.6 , pp. 29-32
    • Lambert, J.A.1
  • 17
    • 0019048114 scopus 로고
    • Inference in the generalized gamma and log gamma distributions
    • J.F. Lawless, Inference in the generalized gamma and log gamma distributions, Technometrics 22 (1980) 409-419.
    • (1980) Technometrics , vol.22 , pp. 409-419
    • Lawless, J.F.1
  • 19
    • 0001552890 scopus 로고
    • Statistical investigation of the fatigue lift of deep-groove ball bearings
    • J. Lieblein, M. Zelen, Statistical investigation of the fatigue lift of deep-groove ball bearings, J. Res. Natl. Bureau Standards 47 (1956) 273-316.
    • (1956) J. Res. Natl. Bureau Standards , vol.47 , pp. 273-316
    • Lieblein, J.1    Zelen, M.2
  • 20
    • 0038767315 scopus 로고
    • A physical basis for the generalized gamma distribution
    • J.H. Lienhard, P.L. Meyer, A physical basis for the generalized gamma distribution, Q. Math. 25 (1967) 330-334.
    • (1967) Q. Math. , vol.25 , pp. 330-334
    • Lienhard, J.H.1    Meyer, P.L.2
  • 21
    • 84888288191 scopus 로고
    • La famille gamma generalisee: Un modele de courbes de germination
    • E. Mees, G. Gerald, La famille gamma generalisee: un modele de courbes de germination, Biometrie-Praximetrie 24 (1984) 101-115.
    • (1984) Biometrie-Praximetrie , vol.24 , pp. 101-115
    • Mees, E.1    Gerald, G.2
  • 22
    • 33749197851 scopus 로고
    • A method for discriminating between failure density functions used in reliability predictions
    • V.B. Parr, J.T. Webster, A method for discriminating between failure density functions used in reliability predictions, Technometrics 7 (1965) 1-10.
    • (1965) Technometrics , vol.7 , pp. 1-10
    • Parr, V.B.1    Webster, J.T.2
  • 23
    • 0013884338 scopus 로고
    • A suggested method of analysis of a certain class of experiments in carcinogenesis
    • M. Pike, A suggested method of analysis of a certain class of experiments in carcinogenesis, Biometrics 22 (1966) 142-161.
    • (1966) Biometrics , vol.22 , pp. 142-161
    • Pike, M.1
  • 24
    • 0016312195 scopus 로고
    • A log gamma model and its maximum likelihood estimation
    • R.L. Prentice, A log gamma model and its maximum likelihood estimation, Biometrika 61 (1974) 539-544.
    • (1974) Biometrika , vol.61 , pp. 539-544
    • Prentice, R.L.1
  • 25
    • 0007202043 scopus 로고
    • Maximum likelihood estimation with the Weibull model
    • H. Rockette, C.E. Antle, L.A. Klimko, Maximum likelihood estimation with the Weibull model, J. Am. Stat. Soc. 69 (1974) 246-249.
    • (1974) J. Am. Stat. Soc. , vol.69 , pp. 246-249
    • Rockette, H.1    Antle, C.E.2    Klimko, L.A.3
  • 26
    • 0000704345 scopus 로고
    • Maximum likelihood estimation in a class of nonregular cases
    • R.L. Smith, Maximum likelihood estimation in a class of nonregular cases, Biometrika 72 (1985) 67-90.
    • (1985) Biometrika , vol.72 , pp. 67-90
    • Smith, R.L.1
  • 27
    • 0346281121 scopus 로고
    • A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution
    • R.L. Smith, J.C. Naylor, A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution, Biometrika 73 (1987) 67-90.
    • (1987) Biometrika , vol.73 , pp. 67-90
    • Smith, R.L.1    Naylor, J.C.2
  • 28
    • 0000695717 scopus 로고
    • A generalization of the gamma distribution
    • E.W. Stacy, A generalization of the gamma distribution, Ann. Math. Stat. 33 (1962) 1187-1192.
    • (1962) Ann. Math. Stat. , vol.33 , pp. 1187-1192
    • Stacy, E.W.1
  • 29
    • 0000388609 scopus 로고
    • Parameter estimation for a generalized gamma distribution
    • E.W. Stacy, G.A. Mihram, Parameter estimation for a generalized gamma distribution, Technometrics 7 (1965) 349-358.
    • (1965) Technometrics , vol.7 , pp. 349-358
    • Stacy, E.W.1    Mihram, G.A.2
  • 30
    • 0005317854 scopus 로고
    • Quasimaximum likelihood estimators for two-parameter gamma distributions
    • E.W. Stacy, Quasimaximum likelihood estimators for two-parameter gamma distributions, IBM J. Res. Dev. 17 (1973) 115-124.
    • (1973) IBM J. Res. Dev. , vol.17 , pp. 115-124
    • Stacy, E.W.1
  • 31
    • 16244395427 scopus 로고
    • Computing maximum-likelihood parameter estimates of the generalized gamma distribution by numerical root isolation
    • D.R. Wingo, Computing maximum-likelihood parameter estimates of the generalized gamma distribution by numerical root isolation, IEEE Trans. Reliability R-36 (1987) 586-590.
    • (1987) IEEE Trans. Reliability , vol.R-36 , pp. 586-590
    • Wingo, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.