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Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application

Publication ,  Journal Article
Al-Khalidi, HR; Parsa, AR
Published in: Communications in Statistics - Theory and Methods
January 1, 1993

Quantitative cancer dose-response models play an important role in cancer risk assessment. They also play a role in regulatory processes associated with potential occupational or environmental exposures. The multistage model is currently the most widely used cancer dose-response model. This paper describes the construction of the likelihood function in the special case of the multistage cancer dose-response models. The concavity of the likelihood function is also established. A criterion is developed to determine the degree of the polynomial portion of the multistage model. Finally, the restricted and unrestricted maximum likelihood estimators are considered and applied to some experimental data sets. © 1993, Taylor & Francis Group, LLC. All rights reserved.

Duke Scholars

Published In

Communications in Statistics - Theory and Methods

DOI

EISSN

1532-415X

ISSN

0361-0926

Publication Date

January 1, 1993

Volume

22

Issue

12

Start / End Page

3377 / 3392

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 0199 Other Mathematical Sciences
  • 0104 Statistics
 

Citation

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ICMJE
MLA
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Al-Khalidi, H. R., & Parsa, A. R. (1993). Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application. Communications in Statistics - Theory and Methods, 22(12), 3377–3392. https://doi.org/10.1080/03610929308831222
Al-Khalidi, H. R., and A. R. Parsa. “Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application.” Communications in Statistics - Theory and Methods 22, no. 12 (January 1, 1993): 3377–92. https://doi.org/10.1080/03610929308831222.
Al-Khalidi HR, Parsa AR. Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application. Communications in Statistics - Theory and Methods. 1993 Jan 1;22(12):3377–92.
Al-Khalidi, H. R., and A. R. Parsa. “Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application.” Communications in Statistics - Theory and Methods, vol. 22, no. 12, Jan. 1993, pp. 3377–92. Scopus, doi:10.1080/03610929308831222.
Al-Khalidi HR, Parsa AR. Some Aspects of Maximum Likelihood Estimation of Multistage Cancer Dose-Response Models with Application. Communications in Statistics - Theory and Methods. 1993 Jan 1;22(12):3377–3392.

Published In

Communications in Statistics - Theory and Methods

DOI

EISSN

1532-415X

ISSN

0361-0926

Publication Date

January 1, 1993

Volume

22

Issue

12

Start / End Page

3377 / 3392

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 0199 Other Mathematical Sciences
  • 0104 Statistics