Publication:
On an asymptotic comparison of the maximum likelihood and Berkson's minimum chi-square estimators in some standard dose response models with one unknown parameter

Issued Date

2011-03-28

Resource Type

Article

ISSN

15741699

DOI

10.3233/MAS-2011-0161

Other identifier(s)

2-s2.0-79952975501

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Model Assisted Statistics and Applications. Vol.6, No.1 (2011), 21-38

Suggested Citation

Wuttichai Srisodaphol, Montip Tiensuwan, Bimal K. Sinha On an asymptotic comparison of the maximum likelihood and Berkson's minimum chi-square estimators in some standard dose response models with one unknown parameter. Model Assisted Statistics and Applications. Vol.6, No.1 (2011), 21-38. doi:10.3233/MAS-2011-0161 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12145

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Title

On an asymptotic comparison of the maximum likelihood and Berkson's minimum chi-square estimators in some standard dose response models with one unknown parameter

Author(s)

Wuttichai Srisodaphol
 Montip Tiensuwan
 Bimal K. Sinha

Other Contributor(s)

Mahidol University
 University of Maryland, Baltimore County

Abstract

Standard dose response models, namely, the multistage Weibull, logistic and log-logistic models are considered. These models involve two parameters θ 0 and θ 1 , and we assume θ 0 to be known. The maximum likelihood and Berkson's minimum chi-square methods are employed to estimate the parameter θ 1 in each model. The mean squared errors of the maximum likelihood and Berkson's minimum chi-square estimators θ̂ 1 are derived asymptotically to the order of approximation n -2 . The results show that the mean squared errors of the maximum likelihood and Berkson's minimum chi-square estimators behave differently for different dose groups and dose levels. © 2011 - IOS Press and the authors. All rights reserved.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/12145

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Scopus 2011-2015