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Journal of Statistical Computation and Simulation Volume 58, 1997 - Issue 4
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Original Articles

Asymptotic properties of the minimum sum of absolute errors estimators in a dose-response model

Carmen D.S. André University of Sao Paulo, Sao Paulo, Brazil
,
Subash C. Narula Virginia Commonwealth University, Richmond, Virgina, USA
,
Clovis A. Peres Paulista School of Medicine, Sao Paulo, Brazil
&
Gilberto A. Ventura University of Sao Paulo, Sao Paulo, Brazil
Pages 361-370 | Received 25 Sep 1996, Published online: 02 May 2007

References

  • André , C.D.S. 1989 . “ Estimação L1em um modelo de dose resposta ” . Sao Paulo, , Brazil : University of Sao Paulo . Ph. D. Dissertation, Institute of Mathematics and Statistics
  • André , C.D.S. , Peres , C.A. and Narula , S.C. 1991 . An iterative procedure for the estimation of parameters in a dose-response model . Communications in Statistics , 20 : 736 – 776 .
  • André , C.D.S. , Peres , C.A. and Narula , S.C. 1992 . An algorithm for the estimation of the multistage dose-response model . Computational Statistics and Data Analysis , 14 : 293 – 299 .
  • Armitage , P. and Doll , R. 1954 . The age distribution of cancer and a multistage theory of carcinogenesis . British Journal of Cancer , 8 : 1 – 12 .
  • Birkes , D. and Dodge , Y. 1993 . Alternative Methods of Regression , New York : John Wiley and Sons .
  • Gonin , R. and Money , A.H. 1987 . “ A review of computational methods for solving the nonlinear L1-norm estimation problem ” . In Statistical Data Analysis on the L1-norm and related methods , Edited by: Dodge , Y. Netherlands : Elsevier Science Publishers .
  • Guess , H. , Crump , K. and Peto , R. 1977 . Carcinogenic risk assessment:a guide to literature . Biometrics , 37 : 353 – 366 .
  • Land , C. 1980 . Estimating cancer risks from low dose of ionizing radiation . Science , 209 : 1197 – 1203 .
  • Lilliefors , H.W. 1967 . On the Kolmogrov-Smirnov test for normality with mean and variance unknown . Journal of the American Statistical Association , 62 : 339 – 402 .
  • Mckean , J.W. and Schrader , R.M. 1984 . A comparison of methods for studentizing the sample median . Communications in Statistics-Simulation and Computations , B13 : 751 – 773 .
  • Peres , C.A. 1981 . “ Derivação de urn modelo para a análise de efeitos biológicos induzidos por radiação, Tese para concurso de livre-docência ” . Sao Paulo, , Brazil : University of Sao Paulo . Institute of Mathematics and Statistics
  • Portier , C. 1981 . “ Optimal bioassay design under the Armitage-Doll multistage model ” . USA : Chapel Hill . Ph. D. Dissertation, University of North Carolina

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