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Volumn 67, Issue 1, 2000, Pages 20-67

On finite mixture of two-component Gompertz lifetime model

Author keywords

Bayes estimates; Censored samples; Heterogeneous population; Lindley's approximation; Maximum likelihood; Monte Carlo simulation

Indexed keywords


EID: 0034350099     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650008812033     Document Type: Article
Times cited : (27)

References (29)
  • 1
    • 51249184411 scopus 로고
    • Remarks on the non-identifiability of mixtures of distributions
    • Ahmad, K. E. and AL-Hussaini, E. K. (1982) Remarks on the non-identifiability of mixtures of distributions. Ann. Inst. Statist. Math., Part A, 34, 543-544.
    • (1982) Ann. Inst. Statist. Math., Part A , vol.34 , pp. 543-544
    • Ahmad, K.E.1    Al-Hussaini, E.K.2
  • 2
    • 0001465453 scopus 로고
    • The generalized Gompertz-Verhulst family of distributions
    • Ahuja, J. C. and Nash, S. W. (1967) The generalized Gompertz-Verhulst family of distributions. Sankhyā, Part A, 29, 141-156.
    • (1967) Sankhyā, Part A , vol.29 , pp. 141-156
    • Ahuja, J.C.1    Nash, S.W.2
  • 3
    • 0002776855 scopus 로고
    • Quasi goodness of fit tests for lifetime distributions
    • Auinger, K. (1990) Quasi goodness of fit tests for lifetime distributions. Metrika, 37, 97-116.
    • (1990) Metrika , vol.37 , pp. 97-116
    • Auinger, K.1
  • 5
    • 0001081710 scopus 로고
    • The experimental alteration of malignancy with an homologous mammalian tumor material-I
    • Casey, A. E. (1934) The experimental alteration of malignancy with an homologous mammalian tumor material-I. Amer. J. Cancer, 21, 760-775.
    • (1934) Amer. J. Cancer , vol.21 , pp. 760-775
    • Casey, A.E.1
  • 7
    • 0000173963 scopus 로고
    • Maximum-likelihood estimation of the parameters of the Gompertz survival function
    • Garg, M. L., Raja Rao, B. and Redmond, K. (1970) Maximum-likelihood estimation of the parameters of the Gompertz survival function. J. Roy. Statist. Soc., Ser. Appl. Statist., 19, 152-159.
    • (1970) J. Roy. Statist. Soc., Ser. Appl. Statist. , vol.19 , pp. 152-159
    • Garg, M.L.1    Raja Rao, B.2    Redmond, K.3
  • 8
    • 0003293418 scopus 로고
    • On the nature of the function expressive of the law of human mortality, and on a new model of determining the value of life contingencies
    • Gompertz, B. (1825) On the nature of the function expressive of the law of human mortality, and on a new model of determining the value of life contingencies. Philos. Trans. Roy. Soc. London, 115, 513-585.
    • (1825) Philos. Trans. Roy. Soc. London , vol.115 , pp. 513-585
    • Gompertz, B.1
  • 9
    • 0025046028 scopus 로고
    • Application of the theory of finite mixtures for the estimation of 'cure' rates of treated cancer patients
    • Gordon, N. H. (1990a) Application of the theory of finite mixtures for the estimation of 'cure' rates of treated cancer patients. Statistics in Medicine, 9, 397-407.
    • (1990) Statistics in Medicine , vol.9 , pp. 397-407
    • Gordon, N.H.1
  • 10
    • 0000322665 scopus 로고
    • Maximum likelihood estimation for mixtures of two Gompertz distributions when censoring occurs
    • Gordon, N. H. (1990b) Maximum likelihood estimation for mixtures of two Gompertz distributions when censoring occurs. Commun. Statist.-Simula. Comput., 19(2), 733-747.
    • (1990) Commun. Statist.-simula. Comput. , vol.19 , Issue.2 , pp. 733-747
    • Gordon, N.H.1
  • 12
    • 0021962110 scopus 로고
    • Gompertzian growth as a consequence of tumor heterogeneity
    • Kendal, W. S. (1985) Gompertzian growth as a consequence of tumor heterogeneity. Math. Biosciences, 73, 103-107.
    • (1985) Math. Biosciences , vol.73 , pp. 103-107
    • Kendal, W.S.1
  • 13
    • 84966166281 scopus 로고
    • Dynamics of tumor-growth
    • Laird, A. K. (1964) Dynamics of tumor-growth. British J. Cancer, 18, 490-502.
    • (1964) British J. Cancer , vol.18 , pp. 490-502
    • Laird, A.K.1
  • 14
    • 0013797771 scopus 로고
    • Dynamics of relative growth
    • Laird, A. K. (1965) Dynamics of relative growth. Growth, 29, 249-263.
    • (1965) Growth , vol.29 , pp. 249-263
    • Laird, A.K.1
  • 16
    • 51849176383 scopus 로고
    • Approximate Bayesian method
    • Lindley, D. V. (1980) Approximate Bayesian method. Trabajos de Estadistica, 31, 223-237.
    • (1980) Trabajos de Estadistica , vol.31 , pp. 223-237
    • Lindley, D.V.1
  • 17
    • 0027722994 scopus 로고
    • Entropic analysis of biological growth models
    • Ling, Y. and He, B. (1993) Entropic analysis of biological growth models. IEEE Trans. Biomed. Engin., 40(12), 1193-1200.
    • (1993) IEEE Trans. Biomed. Engin. , vol.40 , Issue.12 , pp. 1193-1200
    • Ling, Y.1    He, B.2
  • 21
  • 22
    • 0024873382 scopus 로고
    • Bounds on life expectancy for the Rayleigh and Weibull distributions
    • Raja Rao, B. and Talwalker, S. (1989) Bounds on life expectancy for the Rayleigh and Weibull distributions. Math. Biosciences, 96, 95-115.
    • (1989) Math. Biosciences , vol.96 , pp. 95-115
    • Raja Rao, B.1    Talwalker, S.2
  • 23
    • 0019005877 scopus 로고
    • Growth equations: A general equation and a survey of special cases
    • Savageau, M. A. (1980) Growth equations: A general equation and a survey of special cases. Math. Biosciences, 48, 267-278.
    • (1980) Math. Biosciences , vol.48 , pp. 267-278
    • Savageau, M.A.1
  • 24
    • 0023291519 scopus 로고
    • An interactive distribution load forecasting methodology for minicomputer use based upon a Markov-type process
    • Smolleck, H. A. and Kim, K. C. (1988) An interactive distribution load forecasting methodology for minicomputer use based upon a Markov-Type process. IEEE Trans. Power Systems, 3(1), 52-58.
    • (1988) IEEE Trans. Power Systems , vol.3 , Issue.1 , pp. 52-58
    • Smolleck, H.A.1    Kim, K.C.2
  • 25
    • 0002481339 scopus 로고
    • Survival distributions arising from two families and generated by transformations
    • Slymen, D. J. and Lachenbruch, P. A. (1984) Survival distributions arising from two families and generated by transformations. Commun. Statist.-Theory Meth., 13, 1179-1201.
    • (1984) Commun. Statist.-theory Meth. , vol.13 , pp. 1179-1201
    • Slymen, D.J.1    Lachenbruch, P.A.2
  • 26
    • 0001014216 scopus 로고
    • Identifiability of mixtures
    • Teicher, H. (1961) Identifiability of mixtures. Ann. Math. Statist., 32, 244-248.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 244-248
    • Teicher, H.1
  • 29
    • 0020043432 scopus 로고
    • Evaluation of some mathematical models for tumor growth
    • Vaidya, V. G. and Alexandre, F. J. (1982) Evaluation of some mathematical models for tumor growth. Int. J. Bio-Medical Computing, 13, 19-35.
    • (1982) Int. J. Bio-medical Computing , vol.13 , pp. 19-35
    • Vaidya, V.G.1    Alexandre, F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.