153
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

On finite mixture of two-component gompertz lifetime model

, &
Pages 20-67 | Received 02 Apr 1997, Published online: 20 Mar 2007

References

  • 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 .
  • Ahuja , J.C. 1967 . The generalized Gompertz-Verhulst family of distributions . Sankhyâ,Part A , 29 : 141 – 156 .
  • Auinger , K. 1990 . Quasi goodness of fit tests for lifetime distributions . Metrika , 37 : 97 – 116 .
  • Calderón , C.P. and Kwembe , T.A. 1991 . Modeling turnor growth . Math. Biosciences , 103 : 97 – 114 .
  • Casey , A.E. 1934 . The experimental alteration of malignancy with an homologous mammalian turnor material-I . Amer.J.Cancer , 21 : 760 – 775 .
  • Elandt-Johnson , R.C. and Johnson , N.L. 1980 . Survival models and data analysis , New York : John Wiley and Sons .
  • 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 .
  • 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 ” . In Philos.Trans.Roy.Soc Vol. 115 , 513 – 585 . London
  • 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 .
  • Gordon , N.H. 1990b . Maximum likelihood estimation for mixtures of two Gompertz distributions when censoring occurs . Commun.Statist-Simula.Comput , 19 ( 2 ) : 733 – 747 .
  • Johnson , N.L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous univariate distributions , Vol. 2 , New York : John Wiley and sons .
  • Kendal , W.S. 1985 . Gompertzian growth as a consequence of tumor heterogeneity . Math. Biosciences , 73 : 103 – 107 .
  • Laird , A.K. 1964 . Dynamics of tumor-growth . British J.Cancer , 18 : 490 – 502 .
  • Laird , A.K. 1965 . Dynamics of relative growth . Growth , 29 : 249 – 263 .
  • Lawless , J.F. 1982 . Statistical models and methods for lifetime data , New York : John Wiley and Sons .
  • Lindley , D.V. 1980 . Approximate Bayesian method . Trabajos de Estadistica , 31 : 223 – 237 .
  • Ling , Y. and He , B. 1993 . Entropic analysis of biological growth models . IEEE Trans.Biomed.Engin , 40 ( 12 ) : 1193 – 1200 .
  • Maritz , J.S. and Lwin , T. 1989 . Empirical Bayes methods , Chapman and Hall .
  • McLachlan , G.J. and Basford , K.E. 1988 . Mixture models: Inferences and applications to clustering , New York : Marcel Dekker .
  • Osman , M.I. 1987 . “ A new model for analyzing the survival of heterogenous data ” . In Ph.D. Thesis , U.S.A : Case Western Reserve University .
  • Parthasarathy , P.R. and Krishna Kumar , B. 1991 . A birth and death process with logistic mean population . Commun.Statist.-Theory Meth , 20 ( 2 ) : 621 – 629 .
  • Raja Rao , B. and Talwalker , S. 1989 . Bounds on life expectancy for the Rayleigh and Weibull distributions . Math. Biosciences , 96 ( 2 ) : 95 – 115 .
  • Savageau , M.A. 1980 . Growth equations: A general equation and a survey of special cases . Math.Biosciences , 48 ( 2 ) : 267 – 278 .
  • 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 .
  • Slymen , D.J. and Lachenbruch , P.A. 1984 . Survival distributions arising from two families and generated by transformations . Commun.Statist.-Theory Meth , 13 ( 1 ) : 1179 – 1201 .
  • Teicher , H. 1961 . Identifiability of mixtures . Ann.Math.Statist , 32 ( 1 ) : 244 – 248 .
  • Titterington , D.M. , Smith , A.F.M. and Makov , U.E. 1985 . Statistical analysis of finite mixture distributions , New York : John Wiley and Sons .
  • Turner , M.E. , Bardley , E.L. , Kirk , K.A. and Pruitt , K.M. 1976 . A theory of growth . Math.Biosciences , 29 : 367 – 373 .
  • Vaidya , V.G. and Alexandro , F.J. 1982 . Evaluation of some mathematical models for turnor growth . Int.J. Bio-Medical Computing , 13 : 19 – 35 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.